Angular momentum-area proportionality of extremal charged black holes in odd dimensions

Abstract

Extremal rotating black holes in Einstein-Maxwell theory feature two branches. On the branch emerging from the Myers-Perry solutions their angular momentum is proportional to their horizon area, while on the branch emerging from the Tangherlini solutions their angular momentum is proportional to their horizon angular momentum. The transition between these branches occurs at a critical value of the charge, which depends on the value of the angular momentum. However, when a dilaton is included, the angular momentum is always proportional to the horizon area.

5 pages, 2 figures

References in corpus (11)

• Universal Area Product Formulae for Rotating and Charged Black Holes in Four and Higher Dimensions
• Rotating Black Holes in Higher Dimensional Einstein-Maxwell Gravity
• Inner Cauchy horizon of axisymmetric and stationary black holes with surrounding matter in Einstein-Maxwell theory
• Charged Rotating Black Holes in Odd Dimensions
• The inner Cauchy horizon of axisymmetric and stationary black holes with surrounding matter
• Rotating Einstein-Maxwell-Dilaton Black Holes in D Dimensions
• Universal properties of distorted Kerr-Newman black holes
• A universal constraint between charge and rotation rate for degenerate black holes surrounded by matter
• One entropy function to rule them all
• Extremal dyonic black holes in D=4 Gauss-Bonnet gravity
• Sequences of extremal radially excited rotating black holes

Cited by in corpus (5)

• Properties of rotating Einstein-Maxwell-Dilaton black holes in odd dimensions
• Radially excited rotating black holes in Einstein-Maxwell-Chern-Simons theory
• Cohomogeneity-1 solutions in Einstein-Maxwell-dilaton gravity
• Einstein-Maxwell-Chern-Simons Black Holes
• Charged, rotating black objects in Einstein-Maxwell-dilaton theory in $D\ge 5$