globally hyperbolic


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globally hyperbolic

[¦glō·bə·lē ‚hī·pər′bäl·ik]
(relativity)
Property of a space-time M that satisfies certain causality conditions ensuring that the solution to the wave equation for a delta function source at a point p in M is unique and vanishes outside the causal future of p.
References in periodicals archive ?
The interior of the black hole is a globally hyperbolic space-time and the slices S(r), with
In both metrics Q is globally hyperbolic provided [S.sub.0] is complete, which is the case for the metric defined in (81).
Anyone who agrees that Newtonian physics and general relativity are both metaphysically possible must say that the relevant possibility is stronger than metaphysical--in a Newtonian world, it is metaphysically possible for the world to be globally hyperbolic (since there is a metaphysically possible general-relativistic world where it is), but in the sense of "possible" relevant to the modal relationalist, it is not possible relative to a Newtonian world for matter to be arranged in a globally hyperbolic way.
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