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BMS charge algebra

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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 supertranslation 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.

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Authors and Affiliations

  1. Physique Théorique et Mathématique, Université Libre de Bruxelles & International Solvay Institutes, Campus Plaine C.P. 231, B-1050, Bruxelles, Belgium

    Glenn Barnich & Cédric Troessaert

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  1. Glenn Barnich
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  2. Cédric Troessaert
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Correspondence to Glenn Barnich.

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ArXiv ePrint: 1106.0213

Research director of the Fund for Scientific Research-FNRS. (Glenn Barnich)

Research fellow of the Fund for Scientific Research-FNRS. (Cédric Troessaert)

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Barnich, G., Troessaert, C. BMS charge algebra. J. High Energ. Phys. 2011, 105 (2011). https://doi.org/10.1007/JHEP12(2011)105

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  • DOI: https://doi.org/10.1007/JHEP12(2011)105

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