New wormhole shape function and energy density function in f(R,Lm) gravity theory

Author:

De Krishnendu1ORCID,Mitra Saugata2ORCID,De Uday Chand3ORCID

Affiliation:

1. Department of Mathematics, Kabi Sukanta Mahavidyalaya, The University of Burdwan, Bhadreswar, P. O.-Angus, Hooghly, 712221 West Bengal, India

2. Department of Mathematics, Ramakrishna Mission Vidyamandira, Belur Math, Howrah 711202, India

3. Department of Pure Mathematics, University of Calcutta, 35, Ballygunge Circular Road, Kolkata, 700019 West Bengal, India

Abstract

In this work, static traversable wormholes are investigated in the context of [Formula: see text] gravity theory. Considering [Formula: see text] model (in which [Formula: see text] and [Formula: see text] are constants) and assuming [Formula: see text], a new shape function is obtained which is not asymptotically flat, but satisfies all the conditions of a shape function. Also in this case, all energy conditions (except strong energy conditions) are satisfied. Assuming [Formula: see text] and shape function [Formula: see text], a new energy density function is obtained. Finally, a comparative study of ECs is investigated for different shape functions under the assumption [Formula: see text] and [Formula: see text] (where [Formula: see text], [Formula: see text] and [Formula: see text] are constants) and we have seen that the presence of exotic matter is not required in most of the cases.

Publisher

World Scientific Pub Co Pte Ltd

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