Discrete Group Actions on Spacetimes: Causality Conditions and the Causal Boundary

Details Discrete Group Actions on Spacetimes: Causality Conditions and the Causal Boundary Discrete Group Actions on Spacetimes: Causality Conditions and the Causal Boundary

2003-10-14

arxiv.org/abs/gr-qc/0310071v1

Class.Quant.Grav. 21 (2004) 1209-1236

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

32 pages

Scientific paper

10.1088/0264-9381/21/4/032

Suppose a spacetime $M$ is a quotient of a spacetime $V$ by a discrete group of isometries. It is shown how causality conditions in the two spacetimes are related, and how can one learn about the future causal boundary on $M$ by studying structures in $V$. The relations between the two are particularly simple (the boundary of the quotient is the quotient of the boundary) if both $V$ and $M$ have spacelike future boundaries and if it is known that the quotient of the future completion of $V$ is past-distinguishing. (That last assumption is automatic in the case of $M$ being multi-warped.)

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