Mass vs. Charge: Quantum Radiation from Zero Temperature Black Holes

Abstract

We study the mass-charge relation for the semiclassical extremal black hole of the $S$-wave sector Einstein-Maxwell theory coupled to $N$ conformal scalars. The classical ratio $M/|Q|=1$ is shown to be modified to $M/|Q|\simeq 1-k/6$ for small $k\equiv N\hslash /(12\pi Q^2)$. Furthermore, numerical study for $k<2$ shows that $M/|Q|$ is a monotonically decreasing function of $k$. We speculate on the consequence of such a modification in the 4-dimensional context.

CALT-68-1874, LaTeX, 10 pages, one separate figure

References in corpus (3)

• Semiclassical Extremal Blackholes
• Black Holes Coupled to a Massive Dilaton
• Splitting of an Extremal Reissner-Nordström Throat via Quantum Tunneling

Cited by in corpus (4)

• Toward One-Loop Tunneling Rates of Near-Extremal Magnetic Black Hole Pair-Production
• Vanishing Hawking Radiation from a Uniformly Accelerated Black Hole
• Quantum Stability of Accelerated Black Holes
• Two-dimensional black holes in accelerated frames: quantum aspects