Ingemar Bengtsson ANTI - DE SITTER SPACE
نویسنده
چکیده
Anti-de Sitter space is the maximally symmetric solution of Einstein’s equations with an attractive cosmological constant included; in reality the cosmological constant is certainly not attractive, but it is possible to regard it merely as a kind of regularisation of the long-distance behaviour of gravity. The conformal boundary of asymptotically anti-de Sitter space differs dramatically from that of asymptotically flat spacetimes, and this feature is usually crucial whenever anti-de Sitter space appears in mathematical physics. Notable examples are Friedrich’s treatment of isolated systems in GR, the BTZ black holes, and also various studies in supersymmetry and string theory. (One can probably prove a theorem to the effect that string theory has an ergodic property that will make it come arbitrarily close to any point in idea space, if one waits long enough.) This course was meant as a leisurely introduction to the geometry of anti-de Sitter space. The contents became:
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