Peeling property and asymptotic symmetries with a cosmological constant

Abstract

This paper establishes two things in an asymptotically (anti-)de Sitter spacetime, by direct computations in the physical spacetime (i.e. with no involvement of spacetime compactification): (1) The peeling property of the Weyl spinor is guaranteed. In the case where there are Maxwell fields present, the peeling properties of both Weyl and Maxwell spinors similarly hold, if the leading order term of the spin coefficient $\rho$ when expanded as inverse powers of $r$ (where $r$ is the usual spherical radial coordinate, and $r\to \infty$ is null infinity, $\mathcal{I}$) has coefficient $-1$. (2) In the absence of gravitational radiation (a conformally flat $\mathcal{I}$), the group of asymptotic symmetries is trivial, with no room for supertranslations.

28 pages, two recent relevant references are included. Accepted for publication by International Journal of Modern Physics D

References in corpus (8)

• The $\Lambda$-BMS${}_4$ group of dS${}_4$ and new boundary conditions for AdS${}_4$
• Mass-loss of an isolated gravitating system due to energy carried away by gravitational waves with a cosmological constant
• Bondi mass with a cosmological constant
• Behaviour of asymptotically electro-$\Lambda$ spacetimes
• Asymptotics with a cosmological constant: The solution space
• Asymptotic behaviour of Maxwell fields in higher dimensions
• Mass loss due to gravitational waves with $\Lambda >0$
• Asymptotically simple spacetimes and mass loss due to gravitational waves

Cited by in corpus (2)

• Asymptotics with a cosmological constant: The solution space
• The peeling theorem with arbitrary cosmological constant