Higher dimensional power-Maxwell charged black holes in Einstein and Rastall gravity

TL;DR

This paper explores higher-dimensional charged black holes in Einstein and Rastall gravity with power-Maxwell fields and quintessence, analyzing their solutions, special cases, and thermodynamic properties.

Contribution

It introduces new black hole solutions in higher dimensions with power-Maxwell fields in Einstein and Rastall gravity, including various symmetries and thermodynamic analysis.

Findings

Solutions include spherical, planar, and hyperbolic symmetries.

Special cases recover known solutions like linear Maxwell and BTZ black holes.

Thermodynamic properties of the black holes are discussed.

Abstract

The black hole solutions in higher-dimensional spacetimes with the presence of the power-Maxwell field, surrounded by quintessence, are investigated for Einstein as well as Rastall gravity. The obtained solutions accommodate for spherical, planar and hyperbolic symmetries with the presence of the cosmological constant. Besides, we show that several known black hole solutions in literature such as those for linear Maxwell theory and BTZ black hole can be obtained as special cases. The implications of Rastall's theory related to the present study and the thermodynamics of the black hole solutions are discussed.