Asymptotically anti-de Sitter space-times

Details Asymptotically anti-de Sitter space-times Asymptotically anti-de Sitter space-times

Jul 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984cqgra...1l..39a&link_type=abstract

Classical and Quantum Gravity (ISSN 0264-9381), vol. 1, July 11, 1984, p. L39-L44.

Mathematics

Group Theory

97

Asymptotic Properties, Cosmology, Gravitation Theory, Relativity, Space-Time Functions, Conformal Mapping, Conservation Laws, Einstein Equations, Group Theory, Minkowski Space, Momentum Theory

Scientific paper

The structure of the gravitational field at infinity of asymptotically anti-de Sitter space-times is analyzed in detail using conformal techniques. It is found that the situation differs from that in the case of asymptotically Minkowskian space-times in a number of respects. In particular, the asymptotic symmetry group is quite different from the BMS group, and there is no analogue of the Bondi news. The analysis also introduces definitions of 'conserved' quantities in terms of the curvature tensor which are free of the ambiguities present in the previous definitions based on the deviation of the physical metric from an anti-de Sitter background.

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