Some Cosmological Solutions of a New Nonlocal Gravity Model
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Faculty of Mathematics, University of Belgrade, Studentski trg 16, 11158 Belgrade, Serbia
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Institute of Physics, University of Belgrade, 11080 Belgrade, Serbia
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Mathematical Institute, Serbian Academy of Sciences and Arts, 11000 Belgrade, Serbia
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Departamento de Física and Centro de Matemática e Aplicações, Universidade da Beira Interior, 6200 Covilhã, Portugal
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Teacher Education Faculty, University of Belgrade, Kraljice Natalije 43, 11000 Belgrade, Serbia
*
Author to whom correspondence should be addressed.
Symmetry 2020, 12(6), 917; https://doi.org/10.3390/sym12060917
Received: 28 April 2020
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Revised: 12 May 2020
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Accepted: 20 May 2020
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Published: 2 June 2020
(This article belongs to the Special Issue Selected Papers: 10th Mathematical Physics Meeting)
In this paper, we investigate a nonlocal modification of general relativity (GR) with action where is an analytic function of the d’Alembertian □. We found a few exact cosmological solutions of the corresponding equations of motion. There are two solutions which are valid only if and they have no analogs in Einstein’s gravity with cosmological constant . One of these two solutions is that mimics properties similar to an interference between the radiation and the dark energy. Another solution is a nonsingular bounce one . For these two solutions, some cosmological aspects are discussed. We also found explicit form of the nonlocal operator , which satisfies obtained necessary conditions.
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Keywords:
nonlocal gravity; cosmological solutions; radiation; dark energy
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MDPI and ACS Style
Dimitrijevic, I.; Dragovich, B.; Koshelev, A.S.; Rakic, Z.; Stankovic, J. Some Cosmological Solutions of a New Nonlocal Gravity Model. Symmetry 2020, 12, 917. https://doi.org/10.3390/sym12060917
AMA Style
Dimitrijevic I, Dragovich B, Koshelev AS, Rakic Z, Stankovic J. Some Cosmological Solutions of a New Nonlocal Gravity Model. Symmetry. 2020; 12(6):917. https://doi.org/10.3390/sym12060917
Chicago/Turabian StyleDimitrijevic, Ivan, Branko Dragovich, Alexey S. Koshelev, Zoran Rakic, and Jelena Stankovic. 2020. "Some Cosmological Solutions of a New Nonlocal Gravity Model" Symmetry 12, no. 6: 917. https://doi.org/10.3390/sym12060917
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