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 ?
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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