Wormhole Formation with Gravitational Particle Creation Mechanism

TL;DR

This paper investigates the formation and stability of traversable wormholes in General Relativity supported by a particle creation mechanism, modeling the shape function and analyzing energy conditions for various scenarios.

Contribution

It introduces a novel approach by linking particle creation pressure to wormhole stability and explores different shape functions to assess feasibility.

Findings

Particle creation pressure can sustain stable wormhole structures.

Shape functions meet viability conditions for traversable wormholes.

Energy conditions are satisfied in certain particle creation scenarios.

Abstract

We explore the possibility of formation of a traversable wormhole in General Relativity supported by particle creation mechanism. The repulsive back-reaction pressure generated through this mechanism can be thought of as a source of sustaining a traversable wormhole. In the first part of this paper, we model a wormhole geometry by assuming an inverse powerlaw variation of particle creation pressure within the wormhole geometry, and the shape function for the wormhole is obtained, assuming a finite redshift function. By stabilizing the wormhole structure, based on the causality of sound-speed we obtained the existence range of the parameter $\beta$ associated with particle creation mechanism. The general shape function obtained is found to adhere to the feasibility conditions of a viable wormhole geometry. Then we studied the 2D and 3D embedding derived for the obtained shape function. In the second part of the paper, we followed the reverse approach of the aforementioned treatment, where we derived the particle creation pressures by assuming three commonly utilized toy shape-functions. The energy conditions are then investigated for all these cases. In essence, particle creation phenomena inside the wormhole may indeed provide for the possibility of sustenance of stable wormhole structure.