Are quantization rules for horizon areas universal?

Abstract

Doubts have been expressed on the universality of holographic/string-inspired quantization rules for the horizon areas of stationary black holes or the products of their radii, already in simple 4-dimensional general relativity. Realistic black holes are not stationary but time-dependent. Using two examples of 4D general-relativistic spacetimes containing dynamical black holes for at least part of the time, it is shown that the quantization rules (even counting virtual horizons) cannot hold, except possibly at isolated instants of time, and do not seem to be universal.

One example and one figure added, two figures improved, bibliography expanded and updated. Matches the version accepted for publication in Phys. Rev. D

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Cited by in corpus (19)

• Quantum-corrected self-dual black hole entropy in tunneling formalism with GUP
• On the Universality of Inner Black Hole Mechanics and Higher Curvature Gravity
• Horizon Areas and Logarithmic Correction to the Charged Accelerating Black Hole Entropy
• Spherical inhomogeneous solutions of Einstein and scalar-tensor gravity: a map of the land
• The charged McVittie spacetime
• Black Hole Interior Mass Formula
• The Entropy Relations of Black Holes with Multihorizons in Higher Dimensions
• Area (or Entropy) Products in Modified Gravity and Kerr-MOG/CFT Correspondence
• The Entropy Sum of (A)dS Black Holes in Four and Higher Dimensions
• Thermodynamic Products for Sen Black Hole
• Thermodynamic relations for entropy and temperature of multi-horizons black holes
• Generalized McVittie geometry in Horndeski gravity with matter
• Universality of Area Product: Solutions with Conical Singularity
• Simultaneous baldness and cosmic baldness and Kottler spacetime
• Evolving black hole horizons in General Relativity and alternative gravity
• Regular Black Holes: Entropy Products and Central Charges
• Universal entropy relations: entropy formulae and entropy bound
• Logarithmic Corrections to the Black Hole Entropy Product of ${\mathcal{H}}^{\pm }$ via Cardy Formula
• Angular Momentum-Free of the Entropy Relations for Rotating Kaluza-Klein Black Holes