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Back-reaction of a conformal field on a three-dimensional black hole
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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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Timelike entanglement and central charge for quantum BTZ black holes
The paper numerically computes timelike entanglement entropy for quantum BTZ black holes and claims that the effective central charge drops sharply as quantum backreaction crosses a critical value.
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