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Steklov Mathematical Institute Seminar
December 17, 2020 16:00, Moscow, online
 


Cosmological solutions of nonlocal gravity theory

B. Dragovichab

a University of Belgrade, Institute of Physics
b Serbian Academy of Sciences and Arts, Mathematical Institute
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B. Dragovich



Abstract: Despite remarkable theoretical properties and numerous phenomenological predictions with confirmations, General Relativity (GR) is not a final theory of gravity. Problems mainly come from quantum gravity, astrophysics and cosmology. Therefore, there are many attempts to appropriately extend GR. In this talk, I consider a nonlocal gravity theory and its cosmological solutions. In particular, I investigate nonlocal models, where nonlocality is presented by an analytic function of the d’Alembert operator. Some exact vacuum cosmological solutions of the corresponding equations of motion will be presented. We pay special attention to the cosmological solution which mimics dark matter and dark energy. Computed cosmological parameters are in good agreement with cosmological observations. Details can be found in our recent papers [1], [2] and references therein.

Website: https://mi-ras-ru.zoom.us/j/6142542078?pwd=OFhSd3BiY29CR2xrc3p4eEQ4NkJDZz09

References
  1. I. Dimitrijevic, B. Dragovich, A. S. Koshelev, Z. Rakic and J. Stankovic, “Cosmological solutions of a nonlocal square root gravity”, Phys. Lett. B, 797 (2019), 134848, 5 pp., arXiv: 1906.07560 [gr-qc]  crossref  mathscinet  zmath
  2. I. Dimitrijevic, B. Dragovich, A. S. Koshelev, Z. Rakic and J. Stankovic, “Some cosmological solutions of a new nonlocal gravity model”, Symmetry, 12 (2020), 917, arXiv: 2006.16041 [gr-qc]  crossref
 
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