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arxiv: 0704.3148 · v2 · submitted 2007-04-24 · 🌀 gr-qc

The causal boundary of product spacetimes

classification 🌀 gr-qc
keywords spacetimesboundarycausalconformalproductsitterstandardanti-de
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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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