Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2011-12-20
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
12 pages
Scientific paper
We find an instanton analogous to the Brill instanton that describes the fragmentation of a single-centered black hole scaling throat of charge $\Gamma_1 + \Gamma_2 + \Gamma_3$ in N=2 supergravity to three disconnected throats of charges $\Gamma_1, \Gamma_2, \Gamma_3$, in the limit where the intersection products between the charges of the three throats satisfies $<\Gamma_1, \Gamma_2> \lll <\Gamma_2, \Gamma_3>, <\Gamma_3, \Gamma_1,>$. We evaluate the Euclidean action for this instanton and find that the amplitude for the tunneling process is proportional to the difference in entropy between the initial and final configurations.
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