Generating functions of wormholes

Author:

Rahaman Farook1,Sarkar Susmita1,Singh Ksh. Newton12,Pant Neeraj3

Affiliation:

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

2. Department of Physics, National Defence Academy, Khadakwasla, Pune, India

3. Department of Mathematics, National Defence Academy, Khadakwasla, Pune 411023, India

Abstract

It is known that wormhole geometry could be found solving the Einstein field equations by tolerating the violation of null energy condition (NEC). Violation of NEC is not possible for the physical matter distributions, however, it can be achieved by considering distributions of “exotic matter”. The main purpose of this work is to find generating functions comprising the wormhole-like geometry and discuss the nature of these generating functions. We have used the Herrera et al. [Phys. Rev. D 77, 027502 (2008)] approaches of obtaining generating functions in the background of wormhole spacetime. Here we have adopted two approaches for solving the field equations to find wormhole geometry. In the first method, we have assumed the redshift function f(r) and the shape function b(r) and solve for the generating functions. In another attempt, we assume generating functions and redshift functions and then try to find shape functions of the wormholes.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Physics and Astronomy,Astronomy and Astrophysics,Nuclear and High Energy Physics

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