On 3+1 Lorentzian Einstein Manifolds with One Rotational Isometry
General Relativity and Quantum Cosmology
2018-07-23 v1 Analysis of PDEs
Differential Geometry
Abstract
We consider 3+1 rotationally symmetric Lorentzian Einstein spacetime manifolds with and reduce the equations to 2+1 Einstein equations coupled to `shifted' wave maps. Subsequently, we prove various (explicit) positive mass-energy theorems. No smallness is assumed.
Cite
@article{arxiv.1703.06331,
title = {On 3+1 Lorentzian Einstein Manifolds with One Rotational Isometry},
author = {Nishanth Gudapati},
journal= {arXiv preprint arXiv:1703.06331},
year = {2018}
}