Non-asymptotically flat, non-AdS dilaton black holes

TL;DR

This paper constructs and analyzes new classes of non-asymptotically flat dilaton black holes, including rotating dyonic solutions derived from higher-dimensional black objects, and verifies their thermodynamic properties.

Contribution

It introduces novel rotating dyonic black hole solutions in Einstein-Maxwell-dilaton theory, derived from higher-dimensional black objects, and explores their thermodynamics and multi-black hole configurations.

Findings

Derived rotating dyonic black holes from higher-dimensional solutions.

Confirmed these black holes satisfy the first law of thermodynamics.

Discussed potential multi-black hole configurations.

Abstract

We show that previously known non-asymptotically flat static black hole solutions of Einstein-Maxwell-dilaton theory may be obtained as near-horizon limits of asymptotically flat black holes. Specializing to the case of the dilaton coupling constant $\alpha^2 = 3$, we generate from the non-asymptotically flat magnetostatic or electrostatic black holes two classes of rotating dyonic black hole solutions. The rotating dyonic black holes of the ``magnetic'' class are dimensional reductions of the five-dimensional Myers-Perry black holes relative to one of the azimuthal angles, while those of the ``electric'' class are twisted dimensional reductions of rotating dyonic Rasheed black strings. We compute the quasi-local mass and angular momentum of our rotating dyonic black holes, and show that they satisfy the first law of black hole thermodynamics, as well as a generalized Smarr formula. We also discuss the construction of non-asymptotically flat multi-extreme black hole configurations.