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.
24 pages
References in corpus (5)
- Asymptotic Structure with a positive cosmological constant
- Tractor geometry of asymptotically flat spacetimes
- Conformal Dirichlet-Neumann Maps and Poincaré-Einstein Manifolds
- Projective differential geometry and asymptotic analysis in General Relativity
- A relative mass cocycle and the mass of asymptotically hyperbolic manifolds