Supertranslations call for superrotations

Details Supertranslations call for superrotations Supertranslations call for superrotations

2011-02-22

arxiv.org/abs/1102.4632v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

11 pages, Proceedings of the Workshop on Non Commutative Field Theory and Gravity, September 8-12, 2010, Corfu, Greece and the

Scientific paper

We review recent results on symmetries of asymptotically flat spacetimes at null infinity. In higher dimensions, the symmetry algebra realizes the Poincar\'e algebra. In three and four dimensions, besides the infinitesimal supertranslations that have been known since the sixties, the algebras are evenly balanced because there are also infinitesimal superrotations. We provide the classification of central extensions of the bms3 and bms4 algebras. Applications and consequences as well as directions for future work are briefly indicated.

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