A Note on the Dimensional Reduction of Axisymmetric Spacetimes
Analysis of PDEs
2017-02-28 v1
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.
Keywords
Cite
@article{arxiv.1702.07950,
title = {A Note on the Dimensional Reduction of Axisymmetric Spacetimes},
author = {Nishanth Gudapati},
journal= {arXiv preprint arXiv:1702.07950},
year = {2017}
}