Asymptotically non-flat rotating dilaton black holes
Tanwi Ghosh, P. Mitra

TL;DR
This paper introduces a method to generate rotating dilaton black hole solutions from static ones by solving coupled differential equations, expanding the understanding of non-asymptotically flat black holes with small angular momentum.
Contribution
It presents a novel approach to obtain rotating solutions from static dilaton black holes with non-asymptotic flatness by solving differential equations.
Findings
Rotating solutions can be derived from static solutions with small angular momentum.
The method applies to black holes with Liouville type dilatonic potentials.
New classes of rotating dilaton black holes are characterized.
Abstract
Dilaton black hole solutions which are neither asymptotically flat nor (anti)-de Sitter but reduce to asymptotically flat solutions in some special limits have been known for a Liouville type dilatonic potential. It is shown how, by solving a pair of coupled differential equations, infinitesimally small angular momentum can be added to these static solutions to produce rotating black hole solutions.
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