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.

21 pages, 7 figures

References in corpus (3)

• The Causal Boundary of spacetimes revisited
• The causal boundary of wave-type spacetimes
• Topology of the Causal Boundary for Standard Static Spacetimes

Cited by in corpus (4)

• The Causal Boundary of spacetimes revisited
• Globally hyperbolic spacetimes: slicings, boundaries and counterexamples
• Causal completions as Lorentzian pre-length spaces
• Poisson boundary of a relativistic diffusion in curved space-times: an example