Do semiclassical zero temperature black holes exist?

Abstract

The semiclassical Einstein equations are solved to first order in $\epsilon =\hslash /M^2$ for the case of a Reissner-Nordström black hole perturbed by the vacuum stress-energy of quantized free fields. Massless and massive fields of spin 0, 1/2, and 1 are considered. We show that in all physically realistic cases, macroscopic zero temperature black hole solutions do not exist. Any static zero temperature semiclassical black hole solutions must then be microscopic and isolated in the space of solutions; they do not join smoothly onto the classical extreme Reissner-Nordstöm solution as $\epsilon \to 0$.

5 pages, no figures, minor changes and corrections, to appear in Physical Review Letters

References in corpus (2)

• Stress-energy tensor of neutral massive fields in the Reissner-Nordstrom spacetime
• Semiclassical charged black holes with a quantized massive scalar field

Cited by in corpus (20)

• Overspinning a nearly extreme charged black hole via a quantum tunneling process
• Radiation via Tunneling in the Charged BTZ Black Hole
• Vacuum polarization of massive scalar fields in the spacetime of the electrically charged nonlinear black hole
• Towards a Non-singular Paradigm of Black Hole Physics
• Stress Tensor from the Trace Anomaly in Reissner-Nordstrom Spacetimes
• Extreme Hawking Radiation
• Black Holes and the Third Law of Thermodynamics
• Particle spectrum of the Reissner-Nordström black hole
• Black hole remnants may exist if Starobinsky inflation occurred
• Reissner-Nordström geometry counterpart in semiclassical gravity
• Extremal Black holes and the limits of the third law
• Yes, semiclassical zero temperature black holes exist
• Is the semi-classical analysis valid for extreme black holes?
• Renormalized stress tensor for massive fields in Kerr-Newman spacetime
• Entropy of quantum-corrected black holes
• Charge Loss (or the Lack Thereof) for AdS Black Holes
• Semiclassical zero temperature black holes in spherically reduced theories
• Bogoliubov Coefficients of 2D Charged Black Holes
• The renormalized stress-energy tensor for scalar fields in the Boulware state with applications to extremal black holes
• Weak Energy Condition, Trapped Surfaces and Black hole Third Law