Causal Relations
There are two types of causal relations between points and in the manifold .
- chronologically precedes (often denoted ) if there exists a future-directed chronological (timelike) curve from to .
- causally precedes (often denoted or ) if there exists a future-directed causal (non-spacelike) curve from to or .
- strictly causally precedes (often denoted ) if there exists a future-directed causal (non-spacelike) curve from to .
- horismos (often denoted or ) if and .
These relations are transitive:
- , implies
- , implies
and satisfy
- implies (this follows trivially from the definition)
- , implies
- , implies
Read more about this topic: Causal Structure, Introduction
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