Modified particle dynamics and thermodynamics in a traversable wormhole in bumblebee gravity

TL;DR

This paper investigates the effects of a traversable wormhole in bumblebee gravity on particle dynamics and thermodynamics, revealing modified propagation, interactions, and negative Hawking temperature through analytical methods.

Contribution

It provides the first analytical analysis of photon and particle mode behavior, including thermodynamics, in a bumblebee gravity wormhole background.

Findings

Photon-photon interactions enabled by wormhole geometry

Derivation of negative Hawking temperature

Modified dispersion relations and potentials depending on wormhole parameters

Abstract

In this work, we analyze various phenomena influenced by the gravitational field in a bumblebee gravity solution, with a particular emphasis on a traversable wormhole for massless particle modes. Specifically, we calculate the index of refraction, group velocity, time delay, modified distances, and interparticle potential, demonstrating the possibility of photon-photon interactions due to the wormhole geometry. For the latter aspect, we also extend the analysis to massive particle modes, resulting in a ``combination'' of modified Yukawa- and Couloumb-like potentials. These calculations are shown to be dependent on the wormhole's parameters, particularly the wormhole throat. In addition to these analyses, the Hawking temperature is derived using the trapping horizon method, yielding negative values. Furthermore, we derive the thermodynamic properties of photon-like modes by incorporating the modified dispersion relation arising from the wormhole geometry, focusing on non-interacting particle modes. Remarkably, all calculations are conducted in a fully analytical framework.