Symmetries of the asymptotically de Sitter spacetimes

Abstract

We start a systematic investigation of possible isometries of the asymptotically de Sitter solutions to Einstein equations. We reformulate the Killing equation as conformal equations for the initial data at ${\mathcal{I}}^{+}$. This allows for partial classification of possible symmetry algebras. In particular, if they are not maximal, they may be at most $4$-dimensional. We provide several examples. As a simple collorary it is shown that the only spacetime in which the Killing horizon intersects ${\mathcal{I}}^{+}$ (after a conformal completion) is locally the de Sitter universe.

14 pages

References in corpus (4)

• Charges and Fluxes on (Perturbed) Non-expanding Horizons
• Non-Expanding horizons: Multipoles and the Symmetry Group
• Asymptotic Structure with a positive cosmological constant
• Hamiltonian charges in the asymptotically de Sitter spacetimes

Cited by in corpus (2)

• Quadrupolar radiation in de Sitter: Displacement memory and Bondi metric
• Radiative Asymptotic Symmetries of 3D Einstein-Maxwell Theory