{"id":"https://openalex.org/W4409197367","doi":"https://doi.org/10.1140/epjc/s10052-025-14112-1","title":"Energy conditions in $$f(Q, L_m)$$ gravity","display_name":"Energy conditions in $$f(Q, L_m)$$ gravity","publication_year":2025,"publication_date":"2025-04-02","ids":{"openalex":"https://openalex.org/W4409197367","doi":"https://doi.org/10.1140/epjc/s10052-025-14112-1"},"language":"en","primary_location":{"id":"doi:10.1140/epjc/s10052-025-14112-1","doi":"https://doi.org/10.1140/epjc/s10052-025-14112-1","is_oa":true,"landing_page_url":"https://doi.org/10.1140/epjc/s10052-025-14112-1","pdf_url":"https://link.springer.com/content/pdf/10.1140/epjc/s10052-025-14112-1.pdf","source":{"id":"https://openalex.org/S94052278","display_name":"The European Physical Journal C","issn_l":"1434-6044","issn":["1434-6044","1434-6052"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","dongbi-a","jufo-2","ki-jl-1","norway-2","oarl","poland-140","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The European Physical Journal C","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["arxiv","crossref","datacite","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://link.springer.com/content/pdf/10.1140/epjc/s10052-025-14112-1.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5047435510","display_name":"Yerlan Myrzakulov","orcid":"https://orcid.org/0000-0003-0160-0422","observed_orcids":["https://orcid.org/0000-0003-0160-0422","https://orcid.org/0000-0002-4189-8596","https://orcid.org/0000-0003-0044-7323"]},"institutions":[{"id":"https://openalex.org/I10232997","display_name":"L. N. Gumilyov Eurasian National University","ror":"https://ror.org/0242cby63","country_code":"KZ","type":"education","lineage":["https://openalex.org/I10232997"]}],"countries":["KZ"],"is_corresponding":false,"raw_author_name":"Y. Myrzakulov","raw_affiliation_strings":["L.N. Gumilyov Eurasian National University"],"raw_orcid":"https://orcid.org/0000-0003-0160-0422","affiliations":[{"raw_affiliation_string":"L.N. Gumilyov Eurasian National University","institution_ids":["https://openalex.org/I10232997"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5048116659","display_name":"Orhan D\u00f6nmez","orcid":"https://orcid.org/0000-0001-9017-2452","observed_orcids":["https://orcid.org/0000-0001-9017-2452"]},"institutions":[{"id":"https://openalex.org/I2803079837","display_name":"American University of the Middle East","ror":"https://ror.org/02gqgne03","country_code":"KW","type":"education","lineage":["https://openalex.org/I2803079837"]}],"countries":["KW"],"is_corresponding":false,"raw_author_name":"O. Donmez","raw_affiliation_strings":["American University of the Middle East"],"raw_orcid":"https://orcid.org/0000-0001-9017-2452","affiliations":[{"raw_affiliation_string":"American University of the Middle East","institution_ids":["https://openalex.org/I2803079837"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5035708774","display_name":"Mouhssine Koussour","orcid":"https://orcid.org/0000-0002-4188-0572","observed_orcids":["https://orcid.org/0000-0002-4188-0572"]},"institutions":[{"id":"https://openalex.org/I99297268","display_name":"University of Hassan II Casablanca","ror":"https://ror.org/001q4kn48","country_code":"MA","type":"education","lineage":["https://openalex.org/I99297268"]}],"countries":["MA"],"is_corresponding":true,"raw_author_name":"M. Koussour","raw_affiliation_strings":["University of Hassan II Casablanca"],"raw_orcid":"https://orcid.org/0000-0002-4188-0572","affiliations":[{"raw_affiliation_string":"University of Hassan II Casablanca","institution_ids":["https://openalex.org/I99297268"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5037726859","display_name":"S. Muminov","orcid":"https://orcid.org/0000-0003-2471-4836","observed_orcids":["https://orcid.org/0000-0003-2471-4836"]},"institutions":[{"id":"https://openalex.org/I4405255828","display_name":"Mamun University","ror":"https://ror.org/03fatne33","country_code":"UZ","type":"education","lineage":["https://openalex.org/I4405255828"]}],"countries":["UZ"],"is_corresponding":false,"raw_author_name":"S. Muminov","raw_affiliation_strings":["Mamun University"],"raw_orcid":"https://orcid.org/0000-0003-2471-4836","affiliations":[{"raw_affiliation_string":"Mamun University","institution_ids":["https://openalex.org/I4405255828"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5116972553","display_name":"D. Ostemir","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I10232997","display_name":"L. N. Gumilyov Eurasian National University","ror":"https://ror.org/0242cby63","country_code":"KZ","type":"education","lineage":["https://openalex.org/I10232997"]}],"countries":["KZ"],"is_corresponding":false,"raw_author_name":"D. Ostemir","raw_affiliation_strings":["L.N. Gumilyov Eurasian National University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"L.N. Gumilyov Eurasian National University","institution_ids":["https://openalex.org/I10232997"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5044476948","display_name":"Javlon Rayimbaev","orcid":"https://orcid.org/0000-0001-9293-1838","observed_orcids":["https://orcid.org/0000-0001-9293-1838"]},"institutions":[{"id":"https://openalex.org/I14916453","display_name":"Urgench State University","ror":"https://ror.org/0593kfr97","country_code":"UZ","type":"education","lineage":["https://openalex.org/I14916453"]},{"id":"https://openalex.org/I4387155254","display_name":"New Uzbekistan University","ror":"https://ror.org/035v3tr79","country_code":"UZ","type":"education","lineage":["https://openalex.org/I4387155254"]}],"countries":["UZ"],"is_corresponding":false,"raw_author_name":"J. Rayimbaev","raw_affiliation_strings":["New Uzbekistan University","Urgench State University"],"raw_orcid":"https://orcid.org/0000-0001-9293-1838","affiliations":[{"raw_affiliation_string":"New Uzbekistan University","institution_ids":["https://openalex.org/I4387155254"]},{"raw_affiliation_string":"Urgench State University","institution_ids":["https://openalex.org/I14916453"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5035708774"],"corresponding_institution_ids":["https://openalex.org/I99297268"],"apc_list":{"value":0,"currency":"USD","value_usd":0},"apc_paid":null,"fwci":3.0182,"has_fulltext":true,"cited_by_count":15,"citation_normalized_percentile":{"value":0.91701976,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":95,"max":99},"biblio":{"volume":"85","issue":"4","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10095","display_name":"Cosmology and Gravitation Theories","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/3103","display_name":"Astronomy and Astrophysics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10095","display_name":"Cosmology and Gravitation Theories","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/3103","display_name":"Astronomy and Astrophysics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11415","display_name":"Noncommutative and Quantum Gravity Theories","score":0.00019999999494757503,"subfield":{"id":"https://openalex.org/subfields/3106","display_name":"Nuclear and High Energy Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T13080","display_name":"Advanced Differential Geometry Research","score":9.999999747378752e-05,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/energy-conditions","display_name":"energy conditions","score":0.8349999785423279},{"id":"https://openalex.org/keywords/modified-gravity","display_name":"modified gravity","score":0.6790000200271606},{"id":"https://openalex.org/keywords/weak-energy-condition","display_name":"weak energy condition","score":0.8339999914169312},{"id":"https://openalex.org/keywords/null-energy-condition","display_name":"null energy condition","score":0.9850000143051147},{"id":"https://openalex.org/keywords/dominant-energy-condition","display_name":"dominant energy condition","score":0.9950000047683716},{"id":"https://openalex.org/keywords/strong-energy-condition-violation","display_name":"strong energy condition violation","score":0.9110000133514404},{"id":"https://openalex.org/keywords/flrw-metric","display_name":"FLRW metric","score":0.7730000019073486},{"id":"https://openalex.org/keywords/cosmic-acceleration","display_name":"cosmic acceleration","score":0.7009999752044678},{"id":"https://openalex.org/keywords/equation-of-state-parameter","display_name":"equation of state parameter","score":0.8429999947547913},{"id":"https://openalex.org/keywords/quintessence","display_name":"quintessence","score":0.8980000019073486},{"id":"https://openalex.org/keywords/phantom-dark-energy","display_name":"phantom dark energy","score":0.9890000224113464},{"id":"https://openalex.org/keywords/dark-energy","display_name":"dark energy","score":0.6549999713897705},{"id":"https://openalex.org/keywords/matter-lagrangian","display_name":"matter Lagrangian","score":0.5979999899864197}],"concepts":[{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.4444766938686371},{"id":"https://openalex.org/C186370098","wikidata":"https://www.wikidata.org/wiki/Q442787","display_name":"Energy (signal processing)","level":2,"score":0.4127095341682434},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.3680844306945801},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.08923175930976868}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1140/epjc/s10052-025-14112-1","doi":"https://doi.org/10.1140/epjc/s10052-025-14112-1","is_oa":true,"landing_page_url":"https://doi.org/10.1140/epjc/s10052-025-14112-1","pdf_url":"https://link.springer.com/content/pdf/10.1140/epjc/s10052-025-14112-1.pdf","source":{"id":"https://openalex.org/S94052278","display_name":"The European Physical Journal C","issn_l":"1434-6044","issn":["1434-6044","1434-6052"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","dongbi-a","jufo-2","ki-jl-1","norway-2","oarl","poland-140","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The European Physical Journal C","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2504.03855","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2504.03855","pdf_url":"https://arxiv.org/pdf/2504.03855","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:doaj.org/article:b5adfa8eac8e4e99a7cf49e7bdf93c38","doi":null,"is_oa":true,"landing_page_url":"https://doaj.org/article/b5adfa8eac8e4e99a7cf49e7bdf93c38","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"European Physical Journal C: Particles and Fields, Vol 85, Iss 4, Pp 1-10 (2025)","raw_type":"article"},{"id":"doi:10.48550/arxiv.2504.03855","doi":"https://doi.org/10.48550/arxiv.2504.03855","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2504.03855","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"doi:10.1140/epjc/s10052-025-14112-1","doi":"https://doi.org/10.1140/epjc/s10052-025-14112-1","is_oa":true,"landing_page_url":"https://doi.org/10.1140/epjc/s10052-025-14112-1","pdf_url":"https://link.springer.com/content/pdf/10.1140/epjc/s10052-025-14112-1.pdf","source":{"id":"https://openalex.org/S94052278","display_name":"The European Physical Journal C","issn_l":"1434-6044","issn":["1434-6044","1434-6052"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","dongbi-a","jufo-2","ki-jl-1","norway-2","oarl","poland-140","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The European Physical Journal C","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G4936251326","display_name":null,"funder_award_id":"AP22682760","funder_id":"https://openalex.org/F4320322726","funder_display_name":"Ministry of Education and Science of the Republic of Kazakhstan"}],"funders":[{"id":"https://openalex.org/F4320322726","display_name":"Ministry of Education and Science of the Republic of Kazakhstan","ror":"https://ror.org/03pj6ge82"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4409197367.pdf","grobid_xml":"https://content.openalex.org/works/W4409197367.grobid-xml"},"referenced_works_count":77,"referenced_works":["https://openalex.org/W1581552216","https://openalex.org/W1662022794","https://openalex.org/W1853767801","https://openalex.org/W1966220201","https://openalex.org/W1966626225","https://openalex.org/W1971198728","https://openalex.org/W1974031544","https://openalex.org/W1980458704","https://openalex.org/W1993364803","https://openalex.org/W2020327212","https://openalex.org/W2023875957","https://openalex.org/W2029403139","https://openalex.org/W2032235332","https://openalex.org/W2032901690","https://openalex.org/W2041879752","https://openalex.org/W2043732692","https://openalex.org/W2056173066","https://openalex.org/W2057465254","https://openalex.org/W2071196091","https://openalex.org/W2073832139","https://openalex.org/W2078125471","https://openalex.org/W2102716046","https://openalex.org/W2113869105","https://openalex.org/W2115174776","https://openalex.org/W2118265220","https://openalex.org/W2137113888","https://openalex.org/W2139440433","https://openalex.org/W2162447676","https://openalex.org/W2164108688","https://openalex.org/W2481324341","https://openalex.org/W2488019229","https://openalex.org/W2596598747","https://openalex.org/W2739172835","https://openalex.org/W2748011312","https://openalex.org/W2761148789","https://openalex.org/W2793991206","https://openalex.org/W2801379467","https://openalex.org/W2803716359","https://openalex.org/W2892108197","https://openalex.org/W2952743120","https://openalex.org/W2971949017","https://openalex.org/W3020949691","https://openalex.org/W3045437525","https://openalex.org/W3082216465","https://openalex.org/W3104955819","https://openalex.org/W3139201783","https://openalex.org/W3175804968","https://openalex.org/W4200381374","https://openalex.org/W4213311866","https://openalex.org/W4221140345","https://openalex.org/W4234933822","https://openalex.org/W4240379843","https://openalex.org/W4280528232","https://openalex.org/W4292634371","https://openalex.org/W4294862464","https://openalex.org/W4296021817","https://openalex.org/W4321326929","https://openalex.org/W4360612587","https://openalex.org/W4367184581","https://openalex.org/W4368351362","https://openalex.org/W4378948821","https://openalex.org/W4386093886","https://openalex.org/W4387345772","https://openalex.org/W4389514541","https://openalex.org/W4395065597","https://openalex.org/W4395085605","https://openalex.org/W4396888209","https://openalex.org/W4399244997","https://openalex.org/W4399705894","https://openalex.org/W4400520725","https://openalex.org/W4400941910","https://openalex.org/W4401477505","https://openalex.org/W4403012808","https://openalex.org/W4406866924","https://openalex.org/W4414442616","https://openalex.org/W6630758201","https://openalex.org/W6869491375"],"related_works":["https://openalex.org/W4248737038","https://openalex.org/W2032235332","https://openalex.org/W4240379843","https://openalex.org/W3124073247","https://openalex.org/W2122926635","https://openalex.org/W4392341504","https://openalex.org/W4415273977","https://openalex.org/W3082216465","https://openalex.org/W7164371262","https://openalex.org/W4387913294"],"abstract_inverted_index":{"Abstract":[0],"We":[1,44],"are":[2],"experiencing":[3],"a":[4,31,72,128],"golden":[5],"age":[6],"of":[7,212],"experimental":[8],"cosmology,":[9],"with":[10],"exact":[11],"and":[12,37,52,131,139,185],"accurate":[13],"observations":[14],"being":[15],"used":[16],"to":[17,118],"constrain":[18],"various":[19],"gravitational":[20,42],"theories":[21],"like":[22,189],"never":[23],"before.":[24],"Alongside":[25],"these":[26],"advancements,":[27],"energy":[28,47,111,191],"conditions":[29,48,112],"play":[30],"crucial":[32],"theoretical":[33],"role":[34],"in":[35,41,71,197,223],"evaluating":[36],"refining":[38],"new":[39],"proposals":[40],"physics.":[43],"investigate":[45],"the":[46,68,116,210],"(WEC,":[49],"NEC,":[50],"DEC,":[51],"SEC)":[53],"for":[54,205],"two":[55],"$$f(Q,":[56,77,146,213],"L_m)$$":[57,214],"f":[58,87,157,215],"(":[59,88,158,170,216],"Q":[60,81,89,97,150,159,167,217],",":[61,90,104,160,178,218],"L":[62,91,100,161,172,219],"m":[63,92,101,162,173,220],")":[64,93,163,174,221],"gravity":[65,222],"models":[66],"using":[67],"FLRW":[69],"metric":[70],"flat":[73],"geometry.":[74],"Model":[75,144,194,199],"1,":[76],"L_m)":[78,147],"=":[79,94,148,164],"-\\alpha":[80,149],"+":[82,84,98,102,151,154,168,176],"2L_m":[83],"\\beta":[85,155],"$$":[86,137,141,156],"-":[95,165],"\u03b1":[96,138,166],"2":[99,171,175],"\u03b2":[103,142,177],"features":[105],"linear":[106],"parameter":[107,124],"dependence,":[108],"satisfying":[109],"most":[110],"while":[113],"selectively":[114],"violating":[115],"SEC":[117,183],"explain":[119],"cosmic":[120,225],"acceleration.":[121],"The":[122],"EoS":[123],"transitions":[125],"between":[126],"quintessence,":[127],"cosmological":[129],"constant,":[130],"phantom":[132],"energy,":[133],"depending":[134],"on":[135],"$$\\alpha":[136],"$$\\beta":[140],".":[143],"2,":[145],"\\lambda":[152],"(2L_m)^2":[153],"\u03bb":[169],"introduces":[179],"nonlinearities,":[180],"ensuring":[181],"stronger":[182],"violations":[184],"capturing":[186],"complex":[187],"dynamics":[188],"dark":[190],"transitions.":[192],"While":[193],"1":[195],"excels":[196],"simplicity,":[198],"2\u2019s":[200],"robustness":[201],"makes":[202],"it":[203],"ideal":[204],"accelerated":[206],"expansion":[207],"scenarios,":[208],"highlighting":[209],"potential":[211],"explaining":[224],"phenomena.":[226]},"counts_by_year":[{"year":2026,"cited_by_count":12},{"year":2025,"cited_by_count":3}],"updated_date":"2026-11-10T11:39:43.021295","created_date":"2025-04-06T00:00:00"}