Topological dyonic black holes of massive gravity with generalized quasitopological electromagnetism

TL;DR

This paper derives and analyzes new dyonic black hole solutions in massive gravity with generalized quasitopological electromagnetism, examining their geometric, thermodynamic, stability, and shadow properties across various parameters.

Contribution

It provides exact solutions for dyonic black holes in massive gravity with generalized electromagnetism and explores their geometric, thermodynamic, and stability characteristics.

Findings

Graviton mass and electromagnetic parameters influence horizon structure.

Thermodynamic quantities satisfy the first law of black hole thermodynamics.

Thermal fluctuations impact local stability and shadow features.

Abstract

In this paper we investigate new dyonic black holes of massive gravity sourced by generalized quasitopological electromagnetism in arbitrary dimensions. We begin by deriving the exact solution to the field equations defining these black holes and look at how graviton's mass, dimensionality parameter, and quasitopological electromagnetic field affect the horizon structure of anti-de Sitter dyonic black holes. We also explore the asymptotic behaviour of the curvature invariants at both the origin and infinity to analyze the geometric structure of the resultant black holes. We also compute the conserved and thermodynamic quantities of these dyonic black holes with the help of established techniques and known formulas. After investigating the relevancy of first law, we look at how various parameters influence the local thermodynamic stability of resultant black hole solution. We also examine how thermal fluctuations affect the local stability of dyonic black holes in massive gravity. Finally, we study the shadow cast of the black hole.