On asymptotically flat solutions of Einstein's equations periodic in time II. Spacetimes with scalar-field sources

Article

On asymptotically flat solutions of Einstein's equations periodic in time II. Spacetimes with scalar-field sources

Bičák J., Scholtz M., Tod P.

Class. Quantum Grav. 27(27), 175011 (2010)

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.

Institute authors

Bičák, Jiří

BibTeX

@article{UTF392,
  author        = {Bičák J., Scholtz M.,  Tod P.},
  title         = {{On asymptotically flat solutions of Einstein's equations periodic in time II. Spacetimes with scalar-field sources}},
  journal       = {Class. Quantum Grav.},
  volume        = {27},
  number        = {27},
  pages         = {175011},
  year          = {2010},
  doi           = {10.1088/0264-9381/27/17/175012},
  eprint        = {1008.0248v2},
  archivePrefix = {arXiv},
}