Planar Black holes and Entanglement Entropy in Analog Gravity Models

Abstract

Via constructing an explicit Lagrangian for which the perturbation equations are analogues of a scalar field propagating in a planar black hole space-time, it is found that all planar black holes conformal to a Painlevé--Gullstrand type line element can be realized as analogue metrics. We also introduce the concept of holographic entanglement entropy for planar black-hole space-times. This is valid for an arbitrary choice of conformal and blackening factor, thereby vastly extending the number of known examples of explicitly known analogue metrics.

16 pages, 2 figures, major revision, title changed, section on entanglement entropy added, references added

References in corpus (10)

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