{"id":"https://openalex.org/W1973194046","doi":"https://doi.org/10.1134/s1547477113040110","title":"Linear perturbations on the cosmological background in the relativistic theory of gravitation: II. Appendix","display_name":"Linear perturbations on the cosmological background in the relativistic theory of gravitation: II. Appendix","publication_year":2013,"publication_date":"2013-07-01","ids":{"openalex":"https://openalex.org/W1973194046","doi":"https://doi.org/10.1134/s1547477113040110","mag":"1973194046"},"language":"en","primary_location":{"id":"doi:10.1134/s1547477113040110","doi":"https://doi.org/10.1134/s1547477113040110","is_oa":false,"landing_page_url":"https://doi.org/10.1134/s1547477113040110","pdf_url":null,"source":{"id":"https://openalex.org/S97779488","display_name":"Physics of Particles and Nuclei Letters","issn_l":"1547-4771","issn":["1547-4771","1531-8567"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":["dongbi-c","jufo-1","norway-1","poland-40","russia-white-list-3"],"host_organization":"https://openalex.org/P4310320267","host_organization_name":"Pleiades Publishing","host_organization_lineage":["https://openalex.org/P4310320267","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Pleiades Publishing","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physics of Particles and Nuclei Letters","raw_type":"journal-article"},"parent_works":[],"lineage":["https://openalex.org/W1973194046"],"child_works_count":0,"type":"article","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5011367051","display_name":"K. A. Modestov","orcid":"https://orcid.org/0000-0003-4596-2652","observed_orcids":["https://orcid.org/0000-0003-4596-2652"]},"institutions":[{"id":"https://openalex.org/I19880235","display_name":"Lomonosov Moscow State University","ror":"https://ror.org/010pmpe69","country_code":"RU","type":"education","lineage":["https://openalex.org/I19880235"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"K. A. Modestov","raw_affiliation_strings":["Moscow State University, Moscow, Russia","Moscow State  University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Moscow State University, Moscow, Russia","institution_ids":["https://openalex.org/I19880235"]},{"raw_affiliation_string":"Moscow State  University","institution_ids":["https://openalex.org/I19880235"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5079688329","display_name":"Yu. V. Chugreev","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I19880235","display_name":"Lomonosov Moscow State University","ror":"https://ror.org/010pmpe69","country_code":"RU","type":"education","lineage":["https://openalex.org/I19880235"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Yu. V. Chugreev","raw_affiliation_strings":["Moscow State University, Moscow, Russia","Moscow State  University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Moscow State University, Moscow, Russia","institution_ids":["https://openalex.org/I19880235"]},{"raw_affiliation_string":"Moscow State  University","institution_ids":["https://openalex.org/I19880235"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5011367051"],"corresponding_institution_ids":["https://openalex.org/I19880235"],"apc_list":null,"apc_paid":null,"fwci":0.1256,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.53327418,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":96},"biblio":{"volume":"10","issue":"4","first_page":"300","last_page":"308"},"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/T11960","display_name":"Relativity and Gravitational Theory","score":9.999999747378752e-05,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/linear-perturbations","display_name":"linear perturbations","score":0.7480000257492065},{"id":"https://openalex.org/keywords/cosmological-background","display_name":"cosmological background","score":0.7739999890327454},{"id":"https://openalex.org/keywords/relativistic-theory-of-gravitation","display_name":"relativistic gravity","score":0.8009999990463257},{"id":"https://openalex.org/keywords/massive-graviton","display_name":"massive graviton","score":0.9409999847412109},{"id":"https://openalex.org/keywords/gravitational-instability","display_name":"gravitational instability","score":0.9909999966621399},{"id":"https://openalex.org/keywords/cyclic-cosmology","display_name":"cyclic cosmology","score":0.9490000009536743},{"id":"https://openalex.org/keywords/scalar-perturbations","display_name":"scalar perturbations","score":0.7409999966621399},{"id":"https://openalex.org/keywords/vector-perturbations","display_name":"vector perturbations","score":0.9940000176429749},{"id":"https://openalex.org/keywords/quintessence","display_name":"quintessence","score":0.7879999876022339},{"id":"https://openalex.org/keywords/radiation-dominated-era","display_name":"radiation-dominated era","score":0.7089999914169312},{"id":"https://openalex.org/keywords/structure-formation","display_name":"structure formation","score":0.5669999718666077}],"concepts":[{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.9531069993972778},{"id":"https://openalex.org/C130044071","wikidata":"https://www.wikidata.org/wiki/Q103585","display_name":"Graviton","level":3,"score":0.6159274578094482},{"id":"https://openalex.org/C36429004","wikidata":"https://www.wikidata.org/wiki/Q1777391","display_name":"Quintessence","level":4,"score":0.5654056072235107},{"id":"https://openalex.org/C190330329","wikidata":"https://www.wikidata.org/wiki/Q190035","display_name":"Gravitational wave","level":2,"score":0.5536702871322632},{"id":"https://openalex.org/C84999194","wikidata":"https://www.wikidata.org/wiki/Q1","display_name":"Universe","level":2,"score":0.5272635221481323},{"id":"https://openalex.org/C124017977","wikidata":"https://www.wikidata.org/wiki/Q11412","display_name":"Gravitation","level":2,"score":0.5249990224838257},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.5037445425987244},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.4852587878704071},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.419497013092041},{"id":"https://openalex.org/C20154449","wikidata":"https://www.wikidata.org/wiki/Q1129469","display_name":"Metric expansion of space","level":4,"score":0.4192696511745453},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.35808271169662476},{"id":"https://openalex.org/C26405456","wikidata":"https://www.wikidata.org/wiki/Q338","display_name":"Cosmology","level":2,"score":0.3390565514564514},{"id":"https://openalex.org/C172790937","wikidata":"https://www.wikidata.org/wiki/Q18343","display_name":"Dark energy","level":3,"score":0.18526864051818848},{"id":"https://openalex.org/C44870925","wikidata":"https://www.wikidata.org/wiki/Q37547","display_name":"Astrophysics","level":1,"score":0.16971713304519653},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.07363668084144592},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1134/s1547477113040110","doi":"https://doi.org/10.1134/s1547477113040110","is_oa":false,"landing_page_url":"https://doi.org/10.1134/s1547477113040110","pdf_url":null,"source":{"id":"https://openalex.org/S97779488","display_name":"Physics of Particles and Nuclei Letters","issn_l":"1547-4771","issn":["1547-4771","1531-8567"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":["dongbi-c","jufo-1","norway-1","poland-40","russia-white-list-3"],"host_organization":"https://openalex.org/P4310320267","host_organization_name":"Pleiades Publishing","host_organization_lineage":["https://openalex.org/P4310320267","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Pleiades Publishing","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physics of Particles and Nuclei Letters","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W287087384","https://openalex.org/W1853767801","https://openalex.org/W1972909644","https://openalex.org/W2041207144","https://openalex.org/W2053481906","https://openalex.org/W2058276110","https://openalex.org/W2064595687","https://openalex.org/W2073832139","https://openalex.org/W2082272630","https://openalex.org/W2125142421","https://openalex.org/W2135429014","https://openalex.org/W2289091855","https://openalex.org/W2785638513","https://openalex.org/W3125713562","https://openalex.org/W4230652567","https://openalex.org/W4233770405"],"related_works":["https://openalex.org/W204678389","https://openalex.org/W2053481906","https://openalex.org/W4230652567","https://openalex.org/W4230851823","https://openalex.org/W868002333","https://openalex.org/W1566344226","https://openalex.org/W2553022857","https://openalex.org/W2015732729","https://openalex.org/W4236773088","https://openalex.org/W2058276110"],"abstract_inverted_index":{"We":[0,121],"have":[1,94,133],"solved":[2],"the":[3,13,16,20,30,55,58,62,67,76,88,91,98,104,117,126,130],"general":[4],"equations":[5],"derived":[6],"in":[7,29,75,124],"Part":[8],"I":[9],"[1]":[10],"to":[11,66,116],"describe":[12],"evolution":[14,56],"of":[15,22,33,54,57,106,119,129,141],"gravitational":[17],"instability":[18],"on":[19],"background":[21],"an":[23],"oscillating,":[24],"homogeneous,":[25],"and":[26,45,69,79,100],"isotropic":[27],"universe":[28,131],"relativistic":[31],"theory":[32],"gravitation":[34],"considering":[35],"a":[36,110,137],"massive":[37],"graviton.":[38],"Complete":[39],"solutions,":[40],"along":[41],"with":[42,109],"their":[43],"short-wave":[44],"long-wave":[46],"asymptotics,":[47],"are":[48],"given":[49],"for":[50,87,97],"most":[51],"distinctive":[52],"stages":[53],"universe,":[59],"namely,":[60],"near":[61],"turning":[63,89],"points":[64],"corresponding":[65],"maximum":[68],"minimum":[70],"densities,":[71],"as":[72,74],"well":[73],"radiation-dominated,":[77],"nonrelativistic,":[78],"quintessence":[80],"stages.":[81],"In":[82],"all":[83],"these":[84],"cases,":[85],"except":[86],"points,":[90],"gauge":[92],"vectors":[93],"been":[95,134],"determined":[96],"scalar":[99],"vector":[101],"perturbations,":[102],"allowing":[103],"elimination":[105],"wave":[107],"solutions":[108],"phase":[111],"velocity":[112],"that":[113],"is":[114],"equal":[115],"speed":[118],"light.":[120],"conclude":[122],"that,":[123],"principle,":[125],"observed":[127],"structure":[128],"could":[132],"formed":[135],"during":[136],"sufficiently":[138],"large":[139],"number":[140],"its":[142],"cycles.":[143]},"counts_by_year":[{"year":2024,"cited_by_count":3},{"year":2015,"cited_by_count":1}],"updated_date":"2026-11-14T11:04:58.165337","created_date":"2016-06-24T00:00:00"}