English

Wormhole solutions in $f(R)$ gravity theory for Chaplygin gas scenario

General Relativity and Quantum Cosmology 2021-08-31 v1

Abstract

The present paper deals with some wormhole solutions which are obtained by taking two different shape functions along with zero tidal force. For obtaining wormhole solutions, anisotropic fluid and a equation of state pt=aρp_t=-\frac{a}{\rho} related by Chaplygin gas are considered where ρ\rho is the energy density, ptp_t is tangential pressure and aa is positive constant. Energy conditions are examined for two different models, and it is found that a major energy conditions are satisfied in a region.

Keywords

Cite

@article{arxiv.2108.12670,
  title  = {Wormhole solutions in $f(R)$ gravity theory for Chaplygin gas scenario},
  author = {Bikram Ghosh and Saugata Mitra},
  journal= {arXiv preprint arXiv:2108.12670},
  year   = {2021}
}