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Entropy in black hole pair production

1994; American Physical Society; Volume: 49; Issue: 2 Linguagem: Inglês

10.1103/physrevd.49.958

1538-4500

David Garfinkle, Steven B. Giddings, Andrew Strominger,

Astrophysical Phenomena and Observations

Pair production of Reissner-Nordstr\"om black holes in a magnetic field can be described by a Euclidean instanton. It is shown that the instanton amplitude contains an explicit factor of ${e}^{\frac{A}{4}}$, where $A$ is the area of the event horizon. This is consistent with the hypothesis that ${e}^{\frac{A}{4}}$ measures the number of black hole states.