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arXiv · 2208.09302

Higher fundamental forms of the conformal boundary of asymptotically de Sitter spacetimes

A. Rod Gover·Jarosław Kopiński
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Abstract

We provide a partial characterization of the conformal infinity of asymptotically de Sitter spacetimes by deriving constraints that relate the asymptotics of the stress-energy tensor with conformal geometric data. The latter is captured using recently defined objects, called higher conformal fundamental forms. For the boundary hypersurface, these generalize to higher order the trace-free part of the second form.

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A. Rod Gover, Jarosław Kopiński. 2022-08-19. Higher fundamental forms of the conformal boundary of asymptotically de Sitter spacetimes. https://doi.org/10.1088/1361-6382%2Faca459

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