Boundary Conservation from Bulk Symmetry

Abstract

The evolution of the black hole horizon can be effectively captured by a fictitious membrane fluid living on the stretched horizon. We show that the dynamics of this boundary matter arises from the invariance of the bulk action under local symmetries in the presence of the inner boundary. If general covariance is broken in a semi-classical treatment of a quantum field near a black hole horizon, we argue that it can be restored by the inclusion of a quantum flux into the membrane conservation equation which is exactly equal to the Hawking flux.

arXiv commentEssay received honourable mention in the `Gravity Research Foundation 2018 Awards for Essays on Gravitation`

References in corpus (8)

• Black Hole Entropy is Noether Charge
• Relationship between Hawking Radiation and Gravitational Anomalies
• Entropy from Conformal Field Theory at Killing Horizons
• Hawking Radiation from Charged Black Holes via Gauge and Gravitational Anomalies
• An Action for Black Hole Membranes
• Near-Horizon Conformal Symmetry and Black Hole Entropy
• Horizon constraints and black hole entropy
• Horizon Constraints and Black Hole Entropy