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Stable wormhole models in general relativity under conformal symmetry

School of Mathematical Sciences, Jiangsu Key Labortary for NSLSCS, Nanjing Normal University, Nanjing 210023, P. R. China

E-mail Address: asifa.ashraf70@yahoo.com

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Zhiyue Zhang

School of Mathematical Sciences, Jiangsu Key Labortary for NSLSCS, Nanjing Normal University, Nanjing 210023, P. R. China

E-mail Address: zhangzhiyue@njnu.edu.cn

Corresponding author.

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https://doi.org/10.1142/S0219887821500419Cited by:0 (Source: Crossref)

Abstract

In this study, we shall explore conformal symmetry to examine the wormhole models by considering traceless fluid. In this regard, we shall take anisotropic fluid with spherically symmetric space-time. Further, we shall calculate the properties of shape-functions, which are necessary for the existence of wormhole geometry. The presence of exotic matter is confirmed in all the cases through the violation of the Null Energy Condition. Furthermore, we have discussed the stability of wormhole solutions through the Tolman–Oppenheimer–Volkoff (TOV) equation. It is observed that our acquired solutions are stable under the particular values of involved parameters in different cases in conformal symmetry.

Keywords:

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