Nonlocal Gravitational Models and Exact Solutions

Abstract

A nonlocal gravity model with a function $f({\square }^{-1}R)$, where $\square$ is the d'Alembert operator, is considered. The algorithm, allowing to reconstruct $f({\square }^{-1}R)$, corresponding to the given Hubble parameter and the state parameter of the matter, is proposed. Using this algorithm, we find the functions $f({\square }^{-1}R)$, corresponding to de Sitter solutions.

5 pages, v2: refs. added, to appear in the proceedings of the International Workshop "Supersymmetries and Quantum Symmetries" (SQS'2011), Dubna, Russia, July 18-23, 2011, http://theor.jinr.ru/sqs/2011/

References in corpus (8)

• Modified non-local-F(R) gravity as the key for the inflation and dark energy
• Dynamics of Nonlocal Cosmology
• Reconstructing the Distortion Function for Nonlocal Cosmology
• Screening of cosmological constant in non-local cosmology
• De Sitter Universe in Nonlocal Gravity
• Finite Temperature Solitons in Non-Local Field Theories from p-Adic Strings
• Screening of cosmological constant for De Sitter Universe in non-local gravity, phantom-divide crossing and finite-time future singularities
• Dynamics in nonlocal linear models in the Friedmann-Robertson-Walker metric

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• Black supernovae and black holes in non-local gravity
• Acausality in Nonlocal Gravity Theory
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• Reconstruction Procedure for Nonlocal Gauss-Bonnet Models