Spherically symmetric charged (anti-)de Sitter black hole in $f(R,T)$ gravity coupled with nonlinear electrodynamics

Fuente: arXiv
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Main Authors: Ren, Tianyou, Ban, Zhenglong, Hua, Yaobin, Yang, Rong-Jia
Format: Preprint
Published: 2025
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author Ren, Tianyou
Ban, Zhenglong
Hua, Yaobin
Yang, Rong-Jia
author_facet Ren, Tianyou
Ban, Zhenglong
Hua, Yaobin
Yang, Rong-Jia
contents By deriving and solving the gravitational and electromagnetic field equations in $f(R,T)$ gravity coupled with nonlinear electrodynamics, we obtain a static spherically symmetric charged solution that incorporates higher-order correction terms along with an effective cosmological constant term. This solution reduces to the AdS/dS metric in the far-field region while exhibiting significant modifications in the strong-field regime due to the nonlinear electromagnetic effects and the matter-geometry coupling. We further analyze the black hole's horizon structure, revealing the complex phenomenon of multiple horizons emerging within specific parameter ranges. Additionally, by introducing an effective metric to study photon propagation, we systematically explore the influence of magnetic charge and the coupling parameter on the effective potential, the photon sphere radius, and the black hole shadow.
format Preprint
id arxiv_https___arxiv_org_abs_2511_20055
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Spherically symmetric charged (anti-)de Sitter black hole in $f(R,T)$ gravity coupled with nonlinear electrodynamics
Ren, Tianyou
Ban, Zhenglong
Hua, Yaobin
Yang, Rong-Jia
General Relativity and Quantum Cosmology
High Energy Physics - Theory
By deriving and solving the gravitational and electromagnetic field equations in $f(R,T)$ gravity coupled with nonlinear electrodynamics, we obtain a static spherically symmetric charged solution that incorporates higher-order correction terms along with an effective cosmological constant term. This solution reduces to the AdS/dS metric in the far-field region while exhibiting significant modifications in the strong-field regime due to the nonlinear electromagnetic effects and the matter-geometry coupling. We further analyze the black hole's horizon structure, revealing the complex phenomenon of multiple horizons emerging within specific parameter ranges. Additionally, by introducing an effective metric to study photon propagation, we systematically explore the influence of magnetic charge and the coupling parameter on the effective potential, the photon sphere radius, and the black hole shadow.
title Spherically symmetric charged (anti-)de Sitter black hole in $f(R,T)$ gravity coupled with nonlinear electrodynamics
topic General Relativity and Quantum Cosmology
High Energy Physics - Theory
url https://arxiv.org/abs/2511.20055