2025/05/19 by I. P-Castro, Héctor Aguilera-Trujillo, P-Castro, Ivan +5
Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Noncommutative and Quantum Gravity Theories #Quantum Electrodynamics and Casimir Effect
paper · pdf · doi:10.48550/arxiv.2505.13423
openalex publication_date 2025/05/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this letter, after briefly discussing the Hawking radiation (HR) as a quantum tunneling, we emphasize that special care must be taken when computing temperature corrections in the presence of Lorentz invariance violation (LIV), particularly by ensuring consistency between the modified dispersion relation and the gamma matrix structure used to describe fermions that are tunneling. We present a consistent implementation of such corrections in static, spherically symmetric black hole (BH) spacetimes. Our results show that introducing terms that increase/decrease the energy in the dispersion relation--originally determined by Lorentz invariance--leads to a corresponding increase/decrease in the Hawking temperature, when the dispersion relation is uniquely determined. We also determined the changes in Bekenstein-Hawking entropy for the Reissner-Nordström and Schwarzschild BHs, including corrections from LIV scenarios.