Thermodynamics and orbital structure of anti-de Sitter black holes in Palatini-inspired nonlinear electrodynamics
Edilberto O. Silva, João A. A. S. Reis, Faizuddin Ahmed
TLDR
This paper constructs and analyzes anti-de Sitter black holes in Palatini-inspired nonlinear electrodynamics, detailing their thermodynamics and orbital structure.
Key contributions
- Constructs an anti-de Sitter (AdS) completion for static, spherically symmetric PINLED black holes.
- Derives field equations, confirming solution structure and standard AdS lapse function contribution.
- Analyzes horizon structure, Hawking temperature, and extended phase-space thermodynamics.
- Investigates null/timelike geodesics, including photon spheres, shadow radii, and ISCOs.
Why it matters
This work provides the first exact anti-de Sitter extension for Palatini-inspired nonlinear electrodynamics black holes. It establishes a robust theoretical framework for future numerical and phenomenological studies of their thermodynamic, optical, and orbital characteristics.
Original Abstract
We construct a consistent anti-de Sitter completion of the static and spherically symmetric black-hole solution sourced by the Palatini-inspired nonlinear electrodynamics \(Y^n\) model. Starting from the Einstein--Hilbert action with a negative cosmological constant and the first-order PINLED sector, we derive the full set of field equations and show that the nonlinear electromagnetic solution preserves its original parametric structure, while the lapse function acquires the standard AdS contribution. We then analyze the horizon structure, Hawking temperature, extended phase-space thermodynamics, and the associated equation of state. In addition, we investigate null and timelike geodesics, with emphasis on the effective potentials, photon sphere, shadow radius for a static observer at finite distance, and innermost stable circular orbit. The resulting framework furnishes the exact AdS extension of the asymptotically flat PINLED black hole and provides a coherent basis for numerical and phenomenological studies of its thermodynamic, optical, and orbital properties.
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