Universality of Area Product: Solutions with Conical Singularity

Abstract

It has been observed that the area product of horizons for many black hole solutions is mass independent and satisfy the universality relation $A_{+}{A}_{-}=(8\pi {)}^{2}N$, where $N$ is related to the quantized charges of the solution as angular momentum and electric charge. In this work the same analysis is done for black hole and black ring solutions with conical singularity. We find that the area product is still mass independent and regardless of the horizon topology, the conical characteristic ($\kappa$) of the solutions, appears in the universality relation as $\kappa A_{+}{A}_{-}=(8\pi {)}^{2}N$. We also check that the first law of black hole inner mechanics is satisfied for these solutions.

15 pages

References in corpus (9)

• CFT Duals for Extreme Black Holes
• Universal Area Product Formulae for Rotating and Charged Black Holes in Four and Higher Dimensions
• Black ring with two angular momenta
• Inner Cauchy horizon of axisymmetric and stationary black holes with surrounding matter in Einstein-Maxwell theory
• Thermodynamics of Regular Accelerating Black Holes
• Universal properties of distorted Kerr-Newman black holes
• Quantization of area for event and Cauchy horizons of the Kerr-Newman black hole
• Holographic Descriptions of Black Rings
• More on Five Dimensional EVH Black Rings

Cited by in corpus (2)

• The quasilocal energy and thermodynamic first law in accelerating AdS black holes
• Regular Black Holes: Entropy Products and Central Charges