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Three-dimensional Einstein gravity: Dynamics of flat space

✍ Scribed by S Deser; R Jackiw; G 't Hooft


Publisher
Elsevier Science
Year
1984
Tongue
English
Weight
828 KB
Volume
152
Category
Article
ISSN
0003-4916

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✦ Synopsis


In three spacetime dimensions, the Einstein equations imply that source-free regions are flat. Localized sources can therefore only affect geometry globally rather than locally. Some of these effects, especially those generated by mass and angular momentum are discussed.


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We consider existence of three-dimensional gravity waves traveling along a channel of variable depth. It is well known that the long-wave small-amplitude expansion for such waves results in the stationary Korteweg-de Vries equation, coefficients of which depend on the transverse topography of the ch