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Black Hole Entropy and the Dimensional Continuation of the GaussBonnet Theorem  Máximo Ba~nados
; Claudio Teitelboim
; Jorge Zanelli
;  Date: 
25 Sep 1993  Journal:  Phys.Rev.Lett. 72 (1994) 957960  Subject:  grqc  Abstract:  The Euclidean black hole has topology $Re^2 imes {cal S}^{d2}$. It is shown that in Einstein’s theory the deficit angle of a cusp at any point in $Re^2$ and the area of the ${cal S}^{d2}$ are canonical conjugates. The black hole entropy emerges as the Euler class of a small disk centered at the horizon multiplied by the area of the ${cal S}^{d2}$ there.These results are obtained through dimensional continuation of the GaussBonnet theorem. The extension to the most general action yielding second order field equations for the metric in any spacetime dimension is given.  Source:  arXiv, grqc/9309026  Services:  Forum  Review  PDF  Favorites 


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