Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2009-07-09
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
21 Pages, major revision, results unchanged
Scientific paper
Using the techniques of isolated horizon formalism, we construct the space of solutions of asymptotically flat extremal black holes in N=2 pure supergravity in 4 dimensions. We prove the laws of black hole mechanics. Further, restricting to constant area phase space, we show that the spherical horizons admits a U(1) Chern- Simons theory. Standard way of quantizing this topological theory and counting states confirms that entropy is indeed proportional to the area of horizon.
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