Thermal, topological, and scattering effects of an AdS charged black hole with an antisymmetric tensor background

TL;DR

This paper investigates the effects of an antisymmetric tensor background on charged AdS black holes, analyzing their optical, scattering, and topological properties, and comparing shadow predictions with EHT observations.

Contribution

It introduces the impact of a Kalb-Ramond field on black hole properties, including shadow, greybody factors, and topology, extending the understanding of black holes with antisymmetric tensor backgrounds.

Findings

Lorentz-violating parameter affects absorption cross section

Shadow radii match EHT observations for Sagittarius A*

Black hole topology remains consistent with charged RN-AdS black holes

Abstract

In this study, we explore a spherically symmetric charged black hole with a cosmological constant under the influence of a Kalb--Ramond field background. We compute the photon sphere and shadow radii, validating our findings using observational data from the Event Horizon Telescope (EHT), with a particular emphasis on the shadow images of Sagittarius $A^{*}$. Furthermore, we investigate the \textit{greybody} factors, emission rate, and partial absorption cross section. It is shown that the Lorentz-violating parameter \(\bar{l}\) has an important effect on the absorption cross section. Our analysis also includes an examination of the topological charge, temperature-dependent topology, and generalized free energy. In particular, we regard the AdS charged black hole with an antisymmetric tensor background as a topological defect in the thermodynamic space, then the system has the same topological classification to the charged RN-AdS black hole.