A Schwarzschild-de Sitter black hole merging with an observer's cosmological horizon is solved exactly, and its zero-cosmological-constant limit is argued to reproduce the Emparan-Martinez infinite-mass-ratio merger, enabling a finite regularized area increase.
Entanglement Entropy for Singular Surfaces
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abstract
We study entanglement entropy for regions with a singular boundary in higher dimensions using the AdS/CFT correspondence and find that various singularities make new universal contributions. When the boundary CFT has an even spacetime dimension, we find that the entanglement entropy of a conical surface contains a term quadratic in the logarithm of the UV cut-off. In four dimensions, the coefficient of this contribution is proportional to the central charge 'c'. A conical singularity in an odd number of spacetime dimensions contributes a term proportional to the logarithm of the UV cut-off. We also study the entanglement entropy for various boundary surfaces with extended singularities. In these cases, similar universal terms may appear depending on the dimension and curvature of the singular locus.
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The merger of a black hole with a cosmological horizon
A Schwarzschild-de Sitter black hole merging with an observer's cosmological horizon is solved exactly, and its zero-cosmological-constant limit is argued to reproduce the Emparan-Martinez infinite-mass-ratio merger, enabling a finite regularized area increase.