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

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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.

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Authors and Affiliations

  1. Department of Mathematics, Seacom Engineering College, 711 302, Howrah, India

    Chayan Ranjit

  2. Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, 711 103, Howrah, India

    Ujjal Debnath

Authors
  1. Chayan Ranjit
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  2. Ujjal Debnath
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Correspondence to Ujjal Debnath.

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Ranjit, C., Debnath, U. Reconstruction of the Einstein-Aether gravity from other modified gravity models. Eur. Phys. J. Plus 129, 235 (2014). https://doi.org/10.1140/epjp/i2014-14235-7

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  • DOI: https://doi.org/10.1140/epjp/i2014-14235-7

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