Maxwell-$f(Q)$ theory

Abstract

Exploring the four-dimensional AdS black hole is crucial within the framework of the AdS/CFT correspondence. In this research, considering the charged scenario, we investigate the four-dimensional stationary and rotating AdS solutions in the framework of the $f(Q)$ gravitational theory. Our emphasis is on the power-law ansatz, which is consistent with observations and is deemed the most viable. Because this solution does not have an uncharged version or relate to general relativity, it falls into a new category, which derives its features from changes in non-metricity and incorporates the Maxwell domain. We analyze the singularities of such a solution, computing all the quantities of different curvature and non-metricity invariants. Our results indicate the presence of a central singularity, albeit with a softer nature compared to standard non-metricity or Einstein general relativity, attributed to the influence of the effect of $f(Q)$. We examine several physical characteristics of black holes from a thermodynamics perspective and demonstrate the existence of an outer event horizon in addition to the inner Cauchy horizons. However, under the conditions of a sufficiently large electric charge, a naked singularity emerges. Finally, we derive a class of rotating black hole in four-dimensional $f(Q)$ gravity that are asymptotically anti-de Sitter charged.

10 pages two figures

References in corpus (15)

• The teleparallel equivalent of general relativity
• Energy Conditions in $f(Q)$ gravity
• Cosmography in $f(Q)$ gravity
• Asymptotically locally AdS and flat black holes in the presence of an electric field in the Horndeski scenario
• Exact charged black-hole solutions in D-dimensional f(T) gravity: torsion vs curvature analysis
• Spherically symmetric configuration in $f(Q)$ gravity
• Comparing Equivalent Gravities: common features and differences
• Thermodynamics of apparent horizon and modified Friedman equations
• Four-dimensional black holes in Einsteinian cubic gravity
• Generalized Second Law of Thermodynamics in $f(T)$ Gravity with Entropy Corrections
• Thermodynamics of higher dimensional topological charged AdS black branes in dilaton gravity
• Phase transition of quantum corrected Schwarzschild black hole
• Reconstruction of $\Lambda$CDM Universe in $f(Q)$ Gravity
• $D$-dimensional charged Anti-de-Sitter black holes in $f(T)$ gravity
• Imprints of interacting dark energy on cosmological perturbations