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<article article-type="research-article" dtd-version="1.3" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xml:lang="ru"><front><journal-meta><journal-id journal-id-type="publisher-id">vestifm</journal-id><journal-title-group><journal-title xml:lang="ru">Известия Национальной академии наук Беларуси. Серия физико-математических наук</journal-title><trans-title-group xml:lang="en"><trans-title>Proceedings of the National Academy of Sciences of Belarus. Physics and Mathematics Series</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">1561-2430</issn><issn pub-type="epub">2524-2415</issn><publisher><publisher-name>The Republican Unitary Enterprise Publishing House "Belaruskaya Navuka"</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.29235/1561-2430-2019-55-1-83-96</article-id><article-id custom-type="elpub" pub-id-type="custom">vestifm-369</article-id><article-categories><subj-group subj-group-type="heading"><subject>Research Article</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="ru"><subject>ФИЗИКА</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>PHYSICS</subject></subj-group></article-categories><title-group><article-title>К теории гравитации с произвольным уровнем отсчета плотности энергии</article-title><trans-title-group xml:lang="en"><trans-title>An approach to the theory of gravity with an arbitrary reference level   of energy density</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Черкас</surname><given-names>С. Л.</given-names></name><name name-style="western" xml:lang="en"><surname>Cherkas</surname><given-names>S. L.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Кандидат физико-математических наук, старший научный сотрудник.</p><p>ул. Бобруйская, 11, 220030, г. Минск. </p></bio><bio xml:lang="en"><p> Ph. D. (Physics and Mathematics), Senior Researcher.</p><p>11, Bobruiskaya Str., 220050, Minsk.</p></bio><email xlink:type="simple">cherkas@inp.minsk.by</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Калашников</surname><given-names>В. Л.</given-names></name><name name-style="western" xml:lang="en"><surname>Kalashnikov</surname><given-names>V. L.</given-names></name></name-alternatives><bio xml:lang="ru"><p> Кандидат физико-математических наук, старший научный сотрудник.</p><p>27/387, Gusshausstrasse, A-1040, Vienna. vladimir.kalashnikov@ tuwien.ac.at</p></bio><bio xml:lang="en"><p> Ph. D. (Physics and Mathematics), Senior Researcher.</p><p>27/387, Gusshausstrasse, A-1040, Vienna.</p></bio><email xlink:type="simple">vladimir.kalashnikov@tuwien.ac.at</email><xref ref-type="aff" rid="aff-2"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Институт ядерных проблем Белорусского государственного университета.</institution></aff><aff xml:lang="en"><institution>Institute for Nuclear Problems, Belarusian State University .</institution></aff></aff-alternatives><aff-alternatives id="aff-2"><aff xml:lang="ru"><institution>Венский технический университет.</institution></aff><aff xml:lang="en"><institution>Institute of Photonics, Vienna University of Technology.</institution></aff></aff-alternatives><pub-date pub-type="collection"><year>2019</year></pub-date><pub-date pub-type="epub"><day>26</day><month>03</month><year>2019</year></pub-date><volume>55</volume><issue>1</issue><fpage>83</fpage><lpage>96</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Черкас С.Л., Калашников В.Л., 2019</copyright-statement><copyright-year>2019</copyright-year><copyright-holder xml:lang="ru">Черкас С.Л., Калашников В.Л.</copyright-holder><copyright-holder xml:lang="en">Cherkas S.L., Kalashnikov V.L.</copyright-holder><license xml:lang="ru" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>Данная работа распространяется под лицензией Creative Commons Attribution 4.0.</license-p></license><license xml:lang="en" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>This work is licensed under a Creative Commons Attribution 4.0 License.</license-p></license></permissions><self-uri xlink:href="https://vestifm.belnauka.by/jour/article/view/369">https://vestifm.belnauka.by/jour/article/view/369</self-uri><abstract><p>Предложена пятивекторная теория гравитации, в которой уровень отсчета плотности энергии может быть выбран произвольно. Теория сформулирована, как система со связями, в которой множители Лагранжа принадлежат некоторому ограниченному классу векторных полей, в отличие от общей теории относительности, где множители Лагранжа могут быть заданы произвольно. Следствием теории является утверждение, что основная часть вакуумной плотности энергии не влияет на расширение вселенной, в то время как оставшаяся часть приводит к закону расширения, близкому к линейному, как у вселенной Милна.</p></abstract><trans-abstract xml:lang="en"><p>Five-vectors theory of gravity is proposed, which admits an arbitrary choice of the energy density reference level. This theory is formulated as the constraint theory, where the Lagrange multipliers turn out to be restricted to some class of vector fields unlike the General Relativity (GR), where they are arbitrary. A possible cosmological implication of the proposed model is that the residual vacuum fluctuations dominate during the whole evolution of the universe. That resembles  the universe having a nearly linear dependence of a scale factor on cosmic time.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>пятивекторная теория гравитации</kwd><kwd>гамильтоновы системы со связями</kwd><kwd>вакуумная энергия</kwd><kwd>квантовая космология</kwd><kwd>космология Милна</kwd></kwd-group><kwd-group xml:lang="en"><kwd>five vectors theory of gravity</kwd><kwd>constrained Hamiltonian systems</kwd><kwd>vacuum energy</kwd><kwd>quantum cosmology</kwd><kwd>Milne cosmology</kwd></kwd-group></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">Capozziello S., Faraoni V. Beyond Einstein Gravity. Dordrecht, Springer, 2011. 467 p. https://doi.org/10.1007/978-94-007-0165-6</mixed-citation><mixed-citation xml:lang="en">Capozziello S., Faraoni V. Beyond Einstein Gravity. 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