BMS charge algebra

Abstract

The surface charges associated with the symmetries of asymptotically flat four dimensional spacetimes at null infinity are constructed. They realize the symmetry algebra in general only up to a field-dependent central extension that satisfies a suitably generalized cocycle condition. This extension vanishes when using the globally well defined BMS algebra. For the Kerr black hole and the enlarged BMS algebra with both supertranslations and superrotations, some of the supertranslations charges diverge whereas there are no divergences for the superrotation charges. The central extension is proportional to the rotation parameter and involves divergent integrals on the sphere.

25 pages Latex file, extended discussions in sections 3 and 5

References in corpus (5)

• Massive Gravity in Three Dimensions
• Galilean Conformal Algebras and AdS/CFT
• Surface charge algebra in gauge theories and thermodynamic integrability
• Cargese Lectures on the Kerr/CFT Correspondence
• A note on gauge systems from the point of view of Lie algebroids

Cited by in corpus (296)

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