2013/11/03 by Ujjal Debnath, Debnath, Ujjal
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Cosmology and Gravitation Theories #Cosmology and Nongalactic Astrophysics (astro-ph.CO) #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Solar and Space Plasma Dynamics #astro-ph.CO #gr-qc
paper · pdf · doi:10.48550/arxiv.1311.0437
19 pages, 8 figures. arXiv admin note: text overlap with arXiv:1004.1805 by other authors
arxiv created 2013/11/03 · openalex publication_date 2013/11/03 · arxiv updated 2013/11/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 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, the both types of scale factors can accommodate the transition from quintessence to phantom stages i.e., phantom crossing is possible for entropy corrected terms of HDE and NADE models. Finally, we show that the models are classically unstable.