The Quantum and thermodynamic properties of dyonic RN-like black holes

TL;DR

This paper investigates the stability and properties of dyonic Reissner-Nordström-like black holes immersed in magnetic fields, revealing conditions for superradiant stability and noting the absence of phase transitions.

Contribution

It introduces stability conditions for dyonic RN-like black holes in magnetic fields, extending previous stability analyses to these non-asymptotically flat black holes.

Findings

Dyonic RN-like black holes are superradiantly stable under specific frequency conditions.

These black holes show no phase transition.

The study extends stability analysis to non-asymptotically flat black holes.

Abstract

The effect of magnetic fields on black hole superradiance is an exciting topic with possible astrophysical applications. A dyonic RN-like black hole is not asymptotically flat. It describes a black hole immersed in an asymptotically uniform magnetic field. This paper discusses the superadditive stability of binary RN black holes, asymptotically flat, band-like black holes. This article introduces the above condition into dyonic RN-like black holes if a dyonic RN-like black hole satisfies the requirement of $\mu=y\omega$, When $\sqrt{2(B^2+Q^2)}/{r^2_+}< \omega< q\varPhi_H$,particularly $\mu \ge \sqrt{2}(q\varPhi_H)$,the dyonic RN-like black hole is superradiantly stable at that time.Scalars can be seen as combinations of positive/negative powers of a base, much like the decimal system. This principle is key in math and computing, from number systems to Fourier series (linked to $e^{i x}$ ). Dyonic RN-like black holes show no phase transition.