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arXiv · 1808.09081

The definition of mass in asymptotically de Sitter space-times

Brian P Dolan
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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.

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Brian P Dolan. 2018-08-28. The definition of mass in asymptotically de Sitter space-times. https://doi.org/10.1088/1361-6382%2Fab0bdb

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