The causal boundary of product spacetimes

Abstract

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.

arXiv comment21 pages, 7 figures

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Cited by in corpus (8)

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• Causal boundaries and holography on wave type spacetimes
• Globally hyperbolic spacetimes: slicings, boundaries and counterexamples
• Isocausal spacetimes may have different causal boundaries
• Causal completions as Lorentzian pre-length spaces
• On the final definition of the causal boundary and its relation with the conformal boundary
• Poisson boundary of a relativistic diffusion in curved space-times: an example
• Spacetimes Coverings and C-Boundary