Higher fundamental forms of the conformal boundary of asymptotically de Sitter spacetimes
arXiv:2208.09302 · doi:10.1088/1361-6382/aca459
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.
arXiv comment24 pages
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