Black Hole Pair Creation and the Entropy Factor

Abstract

It is shown that in the instanton approximation the rate of creation of black holes is always enhanced by a factor of the exponential of the black hole entropy relative to the rate of creation of compact matter distributions (stars). This result holds for any generally covariant theory of gravitational and matter fields that can be expressed in Hamiltonian form. It generalizes the result obtained previously for the pair creation of magnetically charged black holes by a magnetic field in Einstein--Maxwell theory. The particular example of pair creation of electrically charged black holes by an electric field in Einstein--Maxwell theory is discussed in detail.

(12 pages, ReVTeX) Revised version of "Pair Creation of Electrically Charged Black Holes". New section shows that the BH pair creation rate is enhanced by a factor $\exp (BHentropy)$ for any Hamiltonian gravity + matter theory

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Cited by in corpus (18)

• A comparison of Noether charge and Euclidean methods for Computing the Entropy of Stationary Black Holes
• Duality between Electric and Magnetic Black Holes
• Black Hole Thermodynamics
• Moving Observers, Non-orthogonal Boundaries, and Quasilocal Energies
• Thermodynamics of Regular Accelerating Black Holes
• Black Hole Entropy and the Hamiltonian Formulation of Diffeomorphism Invariant Theories
• Quantum Gravity: A Brief History of Ideas and Some Prospects
• The extremal limits of the C-metric: Nariai, Bertotti-Robinson and anti-Nariai C-metrics
• Black Hole Thermodynamics and Statistical Mechanics
• Pair creation of de Sitter black holes on a cosmic string background
• Static and Infalling Quasilocal Energy of Charged and Naked Black Holes
• Pair Creation of Rotating Black Holes
• Correlations between black holes formed in cosmic string breaking
• Pair creation of higher dimensional black holes on a de Sitter background
• Pair creation of anti-de Sitter black holes on a cosmic string background
• Duality Invariance of Black Hole Creation Rates
• Black Hole Solutions and Pair Creation of Black Holes in Three, Four and Higher Dimensional Spacetimes
• New instabilities of de Sitter spacetimes