On the breakdown of asymptotic Poincare invariance in D = 3 Einstein gravity

Mathematics

Scientific paper

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Asymptotic Properties, Gravitation Theory, Invariance, Lorentz Transformations, Relativity, Space-Time Functions, Dimensions, Energy, Gauge Theory, Momentum, Poincare Problem, Vectors (Mathematics)

Scientific paper

It is shown through a series of calculations that neither momentum nor boosts are definable for finite energy solutions of Einstein gravity in D = 3. The contrast between the effects of Lorentz transformations on the corresponding metrics for D = 3 and D = 4 gravity is demonstrated, and some comparisons with the vector gauge treatment of the problem are offered.

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