Quantum particle production and radiative properties of a new bumblebee black hole

TL;DR

This paper explores the quantum and radiative characteristics of a novel Lorentz-violating bumblebee black hole, analyzing particle production, greybody factors, and evaporation properties through various computational methods.

Contribution

It provides the first detailed analysis of quantum particle emission and greybody factors for a new class of Lorentz-violating black holes, including spin-dependent effects and comparisons with other geometries.

Findings

Derived analytic greybody bounds for multiple spins.

Computed full greybody factors and absorption cross sections.

Compared high-frequency emission regimes with other Lorentz-violating black holes.

Abstract

In this work, we investigate the quantum and radiative properties of a recently proposed static bumblebee black hole arising from a general Lorentz-violating vacuum configuration. The analysis begins with the geometric structure of the solution and the thermodynamic temperature obtained from the surface-gravity prescription. The associated thermodynamic topological structure is also examined. Quantum particle production is then analyzed for bosonic and fermionic fields using the tunneling method. Analytic greybody bounds are derived for spin-0, spin-1, spin-2, and spin-1/2 fields. Furthermore, full greybody factors are computed with the sixth-order WKB method, together with the corresponding absorption cross sections and their characteristic spin-dependent peak patterns. These results support the evaluation of the evaporation lifetimes and the emission rates of energy and particle modes associated with each spin contribution, followed by a comparison of the high-frequency regime with other Lorentz-violating geometries, including the \textit{metric} bumblebee, \textit{metric-affine} bumblebee, Kalb-Ramond, and non-commutative Kalb-Ramond black holes. In addition, greybody factors are obtained using a quasinormal-mode-based prescription.