Higher dimensional charged static and rotating solutions in mimetic gravity

TL;DR

This paper derives new higher-dimensional charged black hole and black string solutions in mimetic gravity, analyzing their physical properties and horizon structures in various dimensions.

Contribution

It presents novel higher-dimensional solutions in mimetic gravity, including static and rotating charged black objects with diverse horizon topologies.

Findings

Solutions include black holes and black strings/branes with various horizon geometries.

Physical properties such as horizons, singularities, entropy, mass, and angular momentum are analyzed.

Explicit solutions are derived in five, six, and seven dimensions.

Abstract

We find new solutions to the Einstein-Maxwell equations in the presence of mimetic field in $ D $ dimensions, all of which are asymptotically Antide Sitter. We derive the solutions in five-dimensional spacetime, in detail. By extending the calculations to six and seven dimensions, we obtain a general form for solutions in dimensions larger than four. The results describe electrically charged static and rotating solutions, which have spherical, toroidal or cylindrical horizons. The solutions, depending on their global identifications, can be regarded as black holes, or black strings/branes. Some physical properties of solutions such as horizons, singularities as well as entropy, mass, and angular momenta of rotating solutions are also investigated.