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Yukawa–Casimir wormholes in 4-D Einstein Gauss–Bonnet gravity

Department of Mathematics, Institute of Applied Sciences and Humanities, GLA University, Mathura 281406, Uttar Pradesh, India

E-mail Address: shwetaibs84@gmail.com

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Umesh Kumar Sharma

Department of Mathematics, Institute of Applied Sciences and Humanities, GLA University, Mathura 281406, Uttar Pradesh, India

E-mail Address: sharma.umesh@gla.ac.in

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, and

Ambuj Kumar Mishra

https://orcid.org/0000-0001-9059-6108

Department of Mathematics, Institute of Applied Sciences and Humanities, GLA University, Mathura 281406, Uttar Pradesh, India

E-mail Address: ambuj_math@rediffmail.com

Corresponding author.

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https://doi.org/10.1142/S0219887823501402Cited by:4 (Source: Crossref)

Abstract

It is an undeniable fact that the negative energy source is essential for the stability of traversable wormholes. Recently, it has been shown that the Casimir energy which is the only artificial source of negative energy till date, could source the negative energy to the traversable wormholes as well. In this paper, we explore the possibility of non-exotic traversable wormholes in 4-D EGB gravity. We use the Yukawa–Casimir shape function and investigate the various energy conditions. We observe that for appropriate choices of shape function and the parameters, traversable wormholes with normal matter at throat can be found.

Keywords:

PACS: 04.50.Kd

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