A novel exact magnetic black hole solution in four-dimensional extended scalar-tensor-Gauss-Bonnet theory

Abstract

In this work the first exact asymptotically flat static and spherically symmetric black hole solution for $(3+1)$-dimensional ESTGB is presented, with a model of nonlinear electrodynamics -- that reduces to Maxwell's theory in the weak field limit and satisfies the weak energy condition -- as a source. The solution has a nonzero magnetic charge, and scalar hair, which turns out to be dependent of the magnetic charge. It is characterized by the ADM mass $m$ and the magnetic charge $q$. Depending on the range of these parameters, the solution describes black holes with different structure. In the case $m\ge 0$ and $q\ge 0$, it shares many of the characteristics of the Schwarzschild solution. For $m>0$ and $q<0$, it is akin to the Reissner-Nordström metric. In the case $m=0$, it represents a purely magnetic black hole.

arXiv comment15 pages, 9 figures

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• Transforming singular black holes into regular black holes sourced by nonlinear electrodynamics
• Gray-body factor and absorption of the Dirac field in ESTGB gravity
• Weak gravitational lensing by an ESTGB black hole in the presence of a plasma
• Gravitational analog of the canonical acoustic black hole in Einstein-scalar-Gauss-Bonnet theory
• Instability of de-Sitter black hole with massive scalar field coupled to Gauss-Bonnet invariant and the scalarized black holes
• Earth-mass primordial black hole mergers as sources for non-repeating FRBs
• Shadows of a generic class of spherically symmetric, static spacetimes
• Relativistic Accretion Flow in a Generic Class of Spherically Symmetric Static Spacetime
• Topological Black Holes with curvature induced scalarization in the extended scalar-tensor theories