Eur. Phys. J. Plus (2014) 129: 235
https://doi.org/10.1140/epjp/i2014-14235-7

Regular Article

Reconstruction of the Einstein-Aether gravity from other modified gravity models

¹ Department of Mathematics, Seacom Engineering College, 711 302, Howrah, India
² Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, 711 103, Howrah, India

^* e-mail: ujjaldebnath@yahoo.com

Received: 12 June 2014
Revised: 3 September 2014
Accepted: 7 September 2014
Published online: 24 October 2014

Abstract

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 the 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 H²) have been found in terms of 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.