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Some specific wormhole solutions in $f (R)$ -modified gravity theory

Bikram Ghosh

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

E-mail Address: bikramghosh13@gmail.com

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Saugata Mitra

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

E-mail Address: saugatamitra20@gmail.com

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, and

Subenoy Chakraborty

https://orcid.org/0000-0002-3881-8022

Department of Mathematics, Jadavpur University, Kolkata 700032, West Bengal, India

E-mail Address: schakraborty.math@gmail.com

Corresponding author.

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https://doi.org/10.1142/S0217732321500243Cited by:9 (Source: Crossref)

Abstract

The paper deals with the static spherically symmetric wormhole solutions in $f (R)$ -modified gravity theory with anisotropic matter field and for some particular choices for the shape functions. This work may be considered as an extension of the general formalism in [S. Halder, S. Bhattacharya and S. Chakraborty, Phys. Lett. B 791, 270 (2019)] for finding wormhole solutions. For isotropic matter distribution it has been shown that wormhole solutions are possible for zero tidal force and it modifies the claim in [M. Cataldo, L. Leimpi and P. Rodriguez, Phys. Lett. B 757, 130 (2016)]. Finally, energy conditions are examined and it is found that all energy conditions are satisfied in a particular domain with a particular choice of the shape function.

Keywords:

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