English

Anisotropic Multiverse with Varying $c$, $G$ and Study of Thermodynamics

General Relativity and Quantum Cosmology 2021-05-07 v1 Cosmology and Nongalactic Astrophysics High Energy Physics - Theory

Abstract

We assume the anisotropic model of the Universe in the framework of varying speed of light cc and varying gravitational constant GG theories and study different types of singularities. For the singularity models, we write the scale factors in terms of cosmic time and found some conditions for possible singularities. For future singularities, we assume the forms of varying speed of light and varying gravitational constant. For regularizing big bang singularity, we assume two forms of scale factors: sine model and tangent model. For both the models, we examine the validity of null energy condition and strong energy condition. Start from the first law of thermodynamics, we study the thermodynamic behaviours of nn number of Universes (i.e., Multiverse) for (i) varying cc, (ii) varying GG and (iii) both varying cc and GG models. We found the total entropies for all the cases in the anisotropic Multiverse model. We also found the nature of the Multiverse if total entropy is constant.

Keywords

Cite

@article{arxiv.2105.02687,
  title  = {Anisotropic Multiverse with Varying $c$, $G$ and Study of Thermodynamics},
  author = {Ujjal Debnath and Soumak Nag},
  journal= {arXiv preprint arXiv:2105.02687},
  year   = {2021}
}

Comments

8 pages