English

The definition of mass in asymptotically de Sitter space-times

General Relativity and Quantum Cosmology 2019-03-27 v1 High Energy Physics - Theory

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.

Keywords

Cite

@article{arxiv.1808.09081,
  title  = {The definition of mass in asymptotically de Sitter space-times},
  author = {Brian P Dolan},
  journal= {arXiv preprint arXiv:1808.09081},
  year   = {2019}
}

Comments

12 pages plus one 5 page appendix