On the Bekenstein-Hawking area law for black objects with conical singularities

Abstract

We argue that, when working with the appropriate set of thermodynamical variables, the Bekenstein-Hawking law still holds for asymptotically flat black objects with conical singularities. The mass-energy which enters the first law of thermodynamics does not, however, coincide with the ADM mass; it differs from the latter by the energy associated with the conical singularity, as seen by an asymptotic, static observer. These statements are supported by a number of examples: the Bach-Weyl (double-Schwarzschild) solution, its dihole generalisation in Einstein-Maxwell theory and the five dimensional static black ring.

13 pages, no figures; version to appear in Phys. Rev. D

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• Thermodynamics of two black holes
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• Global First Laws of Accelerating Black Holes
• Two Schwarzschild-like black holes balanced by their scalar hair
• Bounds on the force between black holes
• Balancing a static black ring with a phantom scalar field
• Thermodynamics of two aligned Kerr-Newman black holes
• Thermodynamics of hairy accelerating black holes in gauged supergravity and beyond
• $d\ge 5$ magnetized static, balanced black holes with $S^2\times S^{d-4}$ event horizon topology
• Charged dilatonic black rings and black saturns and their thermodynamics
• Charged black holes on the Taub-Bolt instanton
• Particle hanging on a string near a Schwarzschild black hole
• A black ring on the Taub-bolt instanton in five dimensions
• Thermodynamic black di-rings
• $D=5$ static, charged black holes, strings and rings with resonant, scalar $Q$-hair