On asymptotically flat solutions of Einstein's equations periodic in time II. Spacetimes with scalar-field sources
General Relativity and Quantum Cosmology
2011-01-18 v2
Abstract
We extend the work in our earlier article [4] to show that time-periodic, asymptotically-flat solutions of the Einstein equations analytic at scri, whose source is one of a range of scalar-field models, are necessarily stationary. We also show that, for some of these scalar-field sources, in stationary, asymptotically-flat solutions analytic at scri, the scalar field necessarily inherits the symmetry. To prove these results we investigate miscellaneous properties of massless and conformal scalar fields coupled to gravity, in particular Bondi mass and its loss.
Keywords
Cite
@article{arxiv.1008.0248,
title = {On asymptotically flat solutions of Einstein's equations periodic in time II. Spacetimes with scalar-field sources},
author = {Jiří Bičák and Martin Scholtz and Paul Tod},
journal= {arXiv preprint arXiv:1008.0248},
year = {2011}
}
Comments
29 pages, published in Class. Quant. Grav. Replaced. Typos corrected, version which appeared in Class. Quant.Grav