Charged Rotating Black Holes in 5d Einstein-Maxwell-(A)dS Gravity
D. Klemm, W. A. Sabra
TL;DR
The paper constructs new charged, rotating black hole solutions in five-dimensional Einstein-Maxwell gravity with a cosmological constant and a Chern-Simons term. It provides explicit metric and gauge-field expressions, analyzes horizons, temperature, and entropy, and derives a Smarr-type relation that connects mass, angular momentum, and cosmological contributions. A cosmological-coordinate reformulation enables multi-centered de Sitter generalizations, illustrating a rich set of rotating charged solutions in higher dimensions. The AdS case is shown to support BPS, half-supersymmetric configurations, hinting at connections to AdS/CFT and further supersymmetric explorations. Overall, the work expands the landscape of exact rotating charged black holes in 5D with (A)dS asymptotics and lays groundwork for thermodynamic and supersymmetric analyses.
Abstract
We obtain charged rotating black hole solutions to the theory of Einstein-Maxwell gravity with cosmological constant in five dimensions. Some of the physical properties of these black holes are discussed.