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International Journal of Theoretical Physics

, Volume 52, Issue 7, pp 2477–2484 | Cite as

Born–Infeld-Like Modified Gravity

  • S. I. Kruglov
Article

Abstract

A modified theory of gravity with the function \(F(R) = (1-\sqrt{1-2\lambda R})/\lambda\) is suggested and analyzed. At small value of the parameter λ introduced the action is converted into Einstein–Hilbert action. The theory is consistent with local tests which gives a bound on the value of the parameter λ≤2×10−6 cm2. I have considered the Jordan frame as well as the Einstein frame in which the potential of the scalar field was obtained. The static Schwarzschild-de Sitter solutions of the model are obtained and analyzed. It was demonstrated that the de Sitter space is unstable but a solution with zero Ricci scalar is stable. It is shown that there is no matter instability in the proposed model.

Keywords

Modified theory of gravity Einstein–Hilbert action Jordan frame Einstein frame Scalar field Schwarzschild-de Sitter solutions De Sitter space Ricci scalar Matter instability 

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Copyright information

© Springer Science+Business Media New York 2013

Authors and Affiliations

  1. 1.Department of Chemical and Physical SciencesUniversity of TorontoMississaugaCanada

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