Asymptotically flat spacetime | Wikipedia audio article
Channel: wikipedia tts
Date: 2018-12-30

This is an audio version of the Wikipedia Article:
https://en.wikipedia.org/wiki/Asymptotically_flat_spacetime


00:00:55 1 Intuitive significance
00:02:10 2 Formal definitionssup&#91;2&#93;/sup
00:03:48 3 Some examples and nonexamples
00:05:22 4 A coordinate-dependent definition
00:08:54 5 A coordinate-free definition
00:09:50 6 Applications
00:11:07 7 Criticism
00:16:22 8 See also



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SUMMARY
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An asymptotically flat spacetime is a Lorentzian manifold in which, roughly speaking, the curvature vanishes at large distances from some region, so that at large distances, the geometry becomes indistinguishable from that of Minkowski spacetime.
While this notion makes sense for any Lorentzian manifold, it is most often applied to a spacetime standing as a solution to the field equations of some metric theory of gravitation, particularly general relativity.  In this case, we can say that an asymptotically flat spacetime is one in which the gravitational field, as well as any matter or other fields which may be present, become negligible in magnitude at large distances from some region.  In particular, in an asymptotically flat vacuum solution, the gravitational field (curvature) becomes negligible at large distances from the source of the field (typically some isolated massive object such as a star).