Reconstructions of Einstein-Aether Gravity from Ordinary and Entropy-Corrected Versions of Holographic and New Agegraphic Dark Energy Models

Here we briefly discuss the Einstein-Aether gravity theory by modification of Einstein-Hilbert action. We find the modified Friedmann equations and then from the equations we find the effective density and pressure for Einstein-Aether gravity sector. These can be treated as if dark energy provided s...

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Main Author: Ujjal Debnath
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Advances in High Energy Physics
Online Access:http://dx.doi.org/10.1155/2014/475862
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spelling doaj-7056894f692748e9ab7c585dfb559aee2020-11-24T21:40:22ZengHindawi LimitedAdvances in High Energy Physics1687-73571687-73652014-01-01201410.1155/2014/475862475862Reconstructions of Einstein-Aether Gravity from Ordinary and Entropy-Corrected Versions of Holographic and New Agegraphic Dark Energy ModelsUjjal Debnath0Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, Howrah 711 103, IndiaHere we briefly discuss the Einstein-Aether gravity theory by modification of Einstein-Hilbert action. We find the modified Friedmann equations and then from the equations we find the effective density and pressure for Einstein-Aether gravity sector. These can be treated as if dark energy provided some restrictions on the free function F(K), where K is proportional to H2. Assuming two types of the power law solutions of the scale factor, we have reconstructed the unknown function F(K) from HDE and NADE and their entropy-corrected versions (ECHDE and ECNADE). We also obtain the EoS parameter for Einstein-Aether gravity dark energy. For HDE and NADE, we have shown that the type I scale factor generates the quintessence scenario only and type II scale factor generates phantom scenario. But for ECHDE and ECNADE, both types of scale factors can accommodate the transition from quintessence to phantom stages; that is, phantom crossing is possible for entropy-corrected terms of HDE and NADE models. Finally, we show that the models are classically unstable.http://dx.doi.org/10.1155/2014/475862
collection DOAJ
language English
format Article
sources DOAJ
author Ujjal Debnath
spellingShingle Ujjal Debnath
Reconstructions of Einstein-Aether Gravity from Ordinary and Entropy-Corrected Versions of Holographic and New Agegraphic Dark Energy Models
Advances in High Energy Physics
author_facet Ujjal Debnath
author_sort Ujjal Debnath
title Reconstructions of Einstein-Aether Gravity from Ordinary and Entropy-Corrected Versions of Holographic and New Agegraphic Dark Energy Models
title_short Reconstructions of Einstein-Aether Gravity from Ordinary and Entropy-Corrected Versions of Holographic and New Agegraphic Dark Energy Models
title_full Reconstructions of Einstein-Aether Gravity from Ordinary and Entropy-Corrected Versions of Holographic and New Agegraphic Dark Energy Models
title_fullStr Reconstructions of Einstein-Aether Gravity from Ordinary and Entropy-Corrected Versions of Holographic and New Agegraphic Dark Energy Models
title_full_unstemmed Reconstructions of Einstein-Aether Gravity from Ordinary and Entropy-Corrected Versions of Holographic and New Agegraphic Dark Energy Models
title_sort reconstructions of einstein-aether gravity from ordinary and entropy-corrected versions of holographic and new agegraphic dark energy models
publisher Hindawi Limited
series Advances in High Energy Physics
issn 1687-7357
1687-7365
publishDate 2014-01-01
description Here we briefly discuss the Einstein-Aether gravity theory by modification of Einstein-Hilbert action. We find the modified Friedmann equations and then from the equations we find the effective density and pressure for Einstein-Aether gravity sector. These can be treated as if dark energy provided some restrictions on the free function F(K), where K is proportional to H2. Assuming two types of the power law solutions of the scale factor, we have reconstructed the unknown function F(K) from HDE and NADE and their entropy-corrected versions (ECHDE and ECNADE). We also obtain the EoS parameter for Einstein-Aether gravity dark energy. For HDE and NADE, we have shown that the type I scale factor generates the quintessence scenario only and type II scale factor generates phantom scenario. But for ECHDE and ECNADE, both types of scale factors can accommodate the transition from quintessence to phantom stages; that is, phantom crossing is possible for entropy-corrected terms of HDE and NADE models. Finally, we show that the models are classically unstable.
url http://dx.doi.org/10.1155/2014/475862
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