Global energy conservation in nonlinear spherical characteristic evolutions
General Relativity and Quantum Cosmology
2014-04-28 v2
Abstract
Associated to the unique 4-parametric subgroup of translations, normal to the Bondi-Metzner-Sachs group, there exists a generator of the temporal translation asymptotic symmetry. Such a descriptor of the motion along the conformal orbit near null infinity is propagated to finite regions. This allows us to observe the global energy conservation even in extreme situations near the critical behavior of the massless scalar field collapse in spherical symmetry.
Keywords
Cite
@article{arxiv.1404.4016,
title = {Global energy conservation in nonlinear spherical characteristic evolutions},
author = {W. Barreto},
journal= {arXiv preprint arXiv:1404.4016},
year = {2014}
}
Comments
6 pages, 7 figures; updated version to appear in Physical Review D