Reconstruction of Einstein-Aether Gravity from other Modified Gravity Models

We briefly describe the modified Friedmann equations for Einstein-Aether gravity theory and we find the effective density and pressure. The purpose of our present work is to reconstruction of Einstein-Aether Gravity from other modified gravities like \(f(T)\), \(f(R)\), \(f(G)\), \(f(R,T)\) and \(f(...

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Bibliographic Details
Published in:arXiv.org 2014-09
Main Authors: Chayan Ranjit, Debnath, Ujjal
Format: Article
Language:English
Subjects:
Gravitation
Reconstruction
Stability analysis
Viability
Online Access:Get full text
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Summary:We briefly describe the modified Friedmann equations for Einstein-Aether gravity theory and we find the effective density and pressure. The purpose of our present work is to reconstruction of Einstein-Aether Gravity from other modified gravities like \(f(T)\), \(f(R)\), \(f(G)\), \(f(R,T)\) and \(f(R,G)\) and check its viability. The scale factor is chosen in power law form. The free function \(F(K)\) for Einstein-Aether gravity (where \(K\) is proportional to \(H^{2}\)) have been found in terms for \(K\) by the correspondence between Einstein-Aether gravity and other modified gravities and the nature of \(F(K)\) vs \(K\) have been shown graphically for every cases. Finally, we analyzed the stability of each reconstructed Einstein-Aether gravity model.
ISSN:2331-8422