Magnetized black holes and black rings in the higher dimensional dilaton gravity

TL;DR

This paper constructs and analyzes exact solutions for magnetized black holes and black rings in higher-dimensional dilaton gravity, exploring their properties, thermodynamics, and ultrarelativistic limits.

Contribution

It introduces explicit magnetized solutions for higher-dimensional black objects using Harrison transformations, expanding understanding of their physical and thermodynamic properties.

Findings

Explicit magnetized black hole and ring solutions are derived.

Physical quantities and thermodynamics of these solutions are analyzed.

Ultrarelativistic limits of magnetized solutions are discussed.

Abstract

In this paper we consider magnetized black holes and black rings in the higher dimensional dilaton gravity. Our study is based on exact solutions generated by applying a Harrison transformation to known asymptotically flat black hole and black ring solutions in higher dimensional spacetimes. The explicit solutions include the magnetized version of the higher dimensional Schwarzschild-Tangherlini black holes, Myers-Perry black holes and five dimensional (dipole) black rings. The basic physical quantities of the magnetized objects are calculated. We also discuss some properties of the solutions and their thermodynamics. The ultrarelativistic limits of the magnetized solutions are briefly discussed and an explicit example is given for the $D$-dimensional magnetized Schwarzschild-Tangherlini black holes.