Phys. Rev. Lett. 85, 2438–2441 (2000)

Do Semiclassical Zero Temperature Black Holes Exist?

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Paul R. Anderson^*
Department of Physics, Wake Forest University, Winston-Salem, North Carolina 27109

William A. Hiscock^† and Brett E. Taylor^‡
Department of Physics, Montana State University, Bozeman, Montana 59717

Received 2 February 2000; published in the issue dated 18 September 2000

The semiclassical Einstein equations are solved to first order in ε = ħ/M² 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-Nordström solution as ε→0.

URL:

http://link.aps.org/doi/10.1103/PhysRevLett.85.2438

DOI:

10.1103/PhysRevLett.85.2438

PACS:

04.70.Dy, 04.62.+v, 04.70.Bw, 11.10.Wx

^*Email address: anderson@wfu.edu

^†Email address: hiscock@physics.montana.edu

^‡Present address: Department of Chemistry and Physics, Radford University, Radford, VA 24142.Email address: brett@peloton.runet.edu

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Phys. Rev. Lett. 85, 2438–2441 (2000)

Do Semiclassical Zero Temperature Black Holes Exist?

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