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arxiv: 1808.09081 · v1 · pith:OFKVS4ONnew · submitted 2018-08-28 · 🌀 gr-qc · hep-th

The definition of mass in asymptotically de Sitter space-times

classification 🌀 gr-qc hep-th
keywords massspace-timesasymptoticallycosmologicaldefinitiongoinghorizonkilling
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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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