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Nonlocal gravitational models and exact solutions

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Abstract

A nonlocal gravity model with a function f (□−1 R), where □ is the d’Alembert operator, is considered. The algorithm, allowing to reconstruct f(□−1 R), corresponding to the given Hubble parameter and the state parameter of the matter, is proposed. Using this algorithm, we find the functions f(□−1 R), corresponding to de Sitter solutions.

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Correspondence to S. Yu. Vernov.

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Vernov, S.Y. Nonlocal gravitational models and exact solutions. Phys. Part. Nuclei 43, 694–696 (2012). https://doi.org/10.1134/S1063779612050371

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