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Back-reaction of a conformal field on a three-dimensional black hole

Cristian Martinez·Jorge Zanelli
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Abstract

The first order corrections to the geometry of the (2+1)-dimensional black hole due to back-reaction of a massless conformal scalar field are computed. The renormalized stress energy tensor used as the source of Einstein equations is computed with the Green function for the black-hole background with transparent boundary conditions. This tensor has the same functional form as the one found in the nonperturbative case which can be exactly solved. Thus, a static, circularly symmetric and asymptotically anti-de Sitter black hole solution of the semiclassical equations is found. The corrections to the thermodynamic quantities are also computed.

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Cristian Martinez, Jorge Zanelli. 1996-10-22. Back-reaction of a conformal field on a three-dimensional black hole. https://doi.org/10.1103/physrevd.55.3642

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