Research PaperNo Access

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

Bikram Ghosh

Department of Mathematics, Ramakrishna Mission Vidyamandira, Howrah-711202, West Bengal, India

E-mail Address: bikramghosh13@gmail.com

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and

Saugata Mitra

https://orcid.org/0000-0003-2525-6072

Department of Mathematics, Ramakrishna Mission Vidyamandira, Howrah-711202, West Bengal, India

E-mail Address: saugatamitra20@gmail.com

Corresponding author.

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https://doi.org/10.1142/S0217751X21501190Cited by:14 (Source: Crossref)

Abstract

This 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 $p_{t} = - \frac{a}{ρ}$ related by Chaplygin gas are considered, where $ρ$ is the energy density, $p_{t}$ is tangential pressure and $a$ is positive constant. Energy conditions are examined for two different models, and it is found that major energy conditions are satisfied in a region.

Keywords:

PACS: 95.35.+d

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