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arXiv · 1702.07950

A Note on the Dimensional Reduction of Axisymmetric Spacetimes

Nishanth Gudapati
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Abstract

We investigate the dimensional reduction of 3+1 vacuum axisymmetric Einstein's equations to 2+1 dimensional Einstein-wave map system and observe that the resulting system is 1) not asymptotically flat, 2) its geometric-mass diverges and 3) the energy of wave map also diverges. Subsequently, we discuss the consequences of these issues.

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Nishanth Gudapati. 2017-02-25. A Note on the Dimensional Reduction of Axisymmetric Spacetimes. https://arxiv.org/abs/1702.07950

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