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Wormhole generating function in $f (R, T)$ gravity

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/S0217751X22502074Cited by:6 (Source: Crossref)

Abstract

In this work, we have studied the traversable wormhole geometries in $f (R, T)$ gravity theory, where $R$ denotes the Ricci scalar and $T$ is the trace of the energy–momentum tensor. Firstly, two new shape functions are obtained for some assumed generating function. Also, some new generating functions are obtained in wormhole geometry for some well-known shape functions and redshift functions. Energy conditions are examined in each wormhole solution and it is found that a particular type of wormhole satisfies all the energy conditions in a region.

Keywords:

PACS: 95.35.+d

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