Symmetries of asymptotically flat 4 dimensional spacetimes at null infinity revisited

Details Symmetries of asymptotically flat 4 dimensional spacetimes at null infinity revisited Symmetries of asymptotically flat 4 dimensional spacetimes at null infinity revisited

2009-09-14

arxiv.org/abs/0909.2617v3

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

7 pages Latex file, references added, comments on Poincare algebra and angular momentum added

Scientific paper

It is argued that the symmetry algebra of asymptotically flat spacetimes at null infinity in 4 dimensions should be taken as the semi-direct sum of supertranslations with infinitesimal local conformal transformations and not, as usually done, with the Lorentz algebra. As a consequence, two dimensional conformal field theory techniques will play as fundamental a role in this context of direct physical interest as they do in three dimensional anti-de Sitter gravity.

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