https://doi.org/10.1140/epjc/s10052-025-13789-8
Regular Article - Theoretical Physics
Modified particle dynamics and thermodynamics in a traversable wormhole in bumblebee gravity
1
Departamento de Física, Universidade Federal da Paraíba, Caixa Postal 5008, 58051-970, João Pessoa, Paraíba, Brazil
2
Departamento de Ciências Exatas e Naturais, Universidade Estadual do Sudoeste da Bahia (UESB), Campus Juvino Oliveira, 45700-00, Itapetinga, BA, Brazil
3
Physics Department, Eastern Mediterranean University, via Mersin 10, 99628, Famagusta, North Cyprus, Türkiye
Received:
22
October
2024
Accepted:
1
January
2025
Published online:
26
January
2025
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 Coulomb-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.
© The Author(s) 2025
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Funded by SCOAP3.
