Pair creation of extremal black holes and Kaluza-Klein monopoles

Journal Article · Mon Aug 15 04:00:00 EDT 1994 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.50.2662· OSTI ID:7015812

Dowker, F; Gauntlett, J P; Giddings, S B; Horowitz, G T ^[1]

---

1. Department of Physics, University of California, Santa Barbara, California 93106 (United States) Enrico Fermi Institute, University of Chicago, 5640 S. Ellis Avenue, Chicago, Illinois 60637 (United States)

Classical solutions describing charged dilaton black holes accelerating in a background magnetic field have recently been found. They include the Ernst metric of the Einstein-Maxwell theory as a special case. We study the extremal limit of these solutions in detail, both at the classical and quantum levels. It is shown that near the event horizon the extremal solutions reduce precisely to the static extremal black hole solutions. For a particular value of the dilaton coupling, these extremal black holes are five-dimensional Kaluza-Klein monopoles. The Euclidean sections of these solutions can be interpreted as instantons describing the pair creation of extremal black holes and/or Kaluza-Klein monopoles in a magnetic field. The action of these instantons is calculated and found to agree with the Schwinger result in the weak-field limit. For the Euclidean Ernst solution, the action for the extremal solution differs from that of the previously discussed wormhole instanton by the Bekenstein-Hawking entropy. However, in many cases quantum corrections become large in the vicinity of the black hole, and the precise description of the creation process is unknown.

• DOE Contract Number: FG03-91ER40618
• OSTI ID: 7015812
• Journal Information: Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 50:4; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

661310* -- Relativity & Gravitation-- (1992-)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BLACK HOLES
CORRECTIONS
COUPLING
EINSTEIN-MAXWELL EQUATIONS
EQUATIONS
FIELD EQUATIONS
FIELD THEORIES
INSTANTONS
INTERACTIONS
KALUZA-KLEIN THEORY
MAGNETIC FIELDS
MONOPOLES
PAIR PRODUCTION
PARTICLE PRODUCTION
QUASI PARTICLES
UNIFIED-FIELD THEORIES