Non-Schwarzschild black holes sourced by scalar-vector fields
Manuel Gonzalez-Espinoza, Y. G\'omez-Leyton, Z. Stuchlik, Francisco Tello-Ortiz

TL;DR
This paper constructs a stable, non-Schwarzschild black hole solution in a scalar-vector gravity theory with nonlinear electrodynamics, analyzing its structure, particle motion, and thermodynamics.
Contribution
It introduces a new stable black hole solution sourced by scalar and vector fields within a scalar-vector gravity framework, using the gravitational decoupling method.
Findings
The solution is stable under specific scalar and vector field parameters.
The spacetime exhibits a distinct causal structure from Schwarzschild black holes.
Thermodynamic and geodesic analyses support the physical plausibility of the model.
Abstract
In a scalar-vector-gravity theory with the vector sector described by nonlinear electrodynamics, the field equations are integrated using the well-known gravitational decoupling method. The resulting spacetime corresponds to a spherically symmetric and static non-Schwarzschild black hole. Employing the master equations for both even and odd parity modes, it is proven that the solution is stable under certain conditions satisfied by the scalar and vector field parameters. To further corroborate the theoretical feasibility of this toy model, the causal structure, geodesic motion for massive particles, and some thermodynamic features are analyzed in detail.
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