Analytic topological hairy dyonic black holes and thermodynamics

Abstract

We study the dynamical stability of hairy dyonic black holes in the Einstein-Maxwellscalar gravity system against the massless scalar field perturbation. We numerically obtain the corresponding quasinormal modes (QNMs) using the series solution and shooting methods for various black hole parameters. We find that the numerical values obtained from these two methods agree well with each other. The imaginary part of the QNM is always negative, indicating the stability of the dyonic hairy black hole against the scalar perturbation. We find that the decay and oscillatory modes of the scalar field perturbation increase linearly with the horizon radius for large black holes. We thoroughly investigate the behaviour of QNMs for different values of black hole parameters, including the electric charge, magnetic charge, horizon radius and hairy parameter, etc. Moreover, we also analyse the QNM near the small/large black hole phase transition and find that the nature of the QNMs is different for large and small black hole phases, suggesting QNMs as the possible probe of black hole phase transition.

Bianchi IX geometry and the Einstein–Maxwell theory

“…These extended solutions provide better understanding of the holographic proposals between the extended theories of gravity and the conformal field theories in different dimensions [1,2]. The constructed and explored solutions also include different solutions with different charges, such as NUT charges [3], dyonic charges [4], as well as different matter fields [5], axion field [6] and skyrmions [7]. The theories of gravity coupled to the other matter fields are useful to study and explore the rotating black holes [8], topological charged hairy black holes [9], cosmic censorship [10], gravitational radiation [11] and hyper-scaling violation [12].…”

Scalarized Kerr-Newman black holes

“…The no-hair theorem asserts that black holes are characterized exclusively by their mass, electric charge and angular momentum [17][18][19]. However, various models have been formulated that give rise to hairy black holes endowed with additional degrees of freedom, thereby serving as counterexamples to the no-hair theorem [20][21][22][23][24][25][26][27][28][29]. One prominent counterexample is spontaneous scalarization, which typically occurs in models featuring non-minimal couplings between scalar fields and other fields.…”