The causal boundary of product spacetimes

Details The causal boundary of product spacetimes The causal boundary of product spacetimes

2007-04-24

arxiv.org/abs/0704.3148v2

Gen.Rel.Grav.39:1697-1718,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

21 pages, 7 figures

Scientific paper

10.1007/s10714-007-0492-5

The new formulation of the causal completion of spacetimes suggested in [1], and modified later in [2], is tested by computing the causal boundary for product spacetimes of a Lorentz interval and a Riemannian manifold. This is particularized for two important families of spacetimes, conformal to the previous ones: (standard) static spacetimes and Generalized Robertson-Walker spacetimes. As consequence, it is shown that this new approach essentially reproduces the structure of the conformal boundary for multiple classical spacetimes: Reissner-Nordstrom (including Schwarzschild), Anti-de Sitter, Taub and standard cosmological models as de Sitter and Einstein Universe.

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