The definition of mass in asymptotically de Sitter space-times

Abstract

An invariant definition of mass in asymptotically de-Sitter space-times is given that relies on the existence of a time-like Killing vector on a sphere surrounding the mass but does not require going to an asymptotic region. In particular the mass can be calculated exactly on a sphere inside the cosmological horizon. The formalism requires varying the background metric solution by a perturbation that satisfies the linearized equations of motion but need not share the Killing symmetry of the solution and is therefore ideally suited to calculating masses in stationary space-times perturbed by a gravitational wave without going beyond the cosmological horizon.

12 pages plus one 5 page appendix

References in corpus (2)

• Solution Phase Space and Conserved Charges: A General Formulation for Charges Associated with Exact Symmetries
• On the definition of mass in general relativity: Noether charges and conserved quantities in diffeomorphism invariant theories

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• Quantum Kerr-de Sitter black holes in three dimensions
• Asymptotic Structure with a positive cosmological constant
• Black hole evaporation in de Sitter space
• Covariant canonical formulations of classical field theories
• Spontaneous Lorentz violation and asymptotic flatness
• Thermodynamics of the Weyl Geometric Gravity Black Holes