Properties of wormhole model in de Rham-Gabadadze-Tolley like massive gravity with specific matter density

TL;DR

This paper explores wormhole solutions in de Rham-Gabadadze-Tolley massive gravity, showing how massive gravitons influence wormhole geometry, energy conditions, and gravitational effects like photon deflection.

Contribution

The study derives new wormhole solutions in dRGT massive gravity with specific matter density, analyzing their properties and violations of energy conditions.

Findings

Wormhole solutions violate all energy conditions including NEC.

Photon deflection angle becomes negative due to repulsive gravity effects.

Massive gravitons significantly affect spacetime geometry and asymptotic flatness.

Abstract

In the conventional method of studying wormhole (WH) geometry, traversability requires the presence of exotic matter, which also provides negative gravity effects to keep the wormhole throat open. In dRGT massive gravity theory, we produce two types of WH solutions in our present paper. Selecting a static and spherically symmetric metric for the background geometry, we obtain the field equations for exact WH solutions. We derive the WH geometry completely for the two different choices of redshift functions. All the energy conditions including the NEC are violated by the obtained WH solutions. Various plots are used to illustrate the behavior of the wormhole for a suitable range of $m^2c_1$, where $m$ is the graviton mass. It is observed that the photon deflection angle becomes negative for all values of $m^2c_1$ as a result of the repulsive action of gravity. It is also studied that the repulsive impact of massive gravitons pushes the spacetime geometry so strongly that the asymptotic flatness is affected. The Volume Integral Quantifier (VIQ) has also been computed to determine the amounts of matter that violate the null energy condition. The complexity factor of the proposed model is also discussed.