Isometries compatible with gravitational radiation

Article

Isometries compatible with gravitational radiation

Bičák, J.; Schmidt, B.~G.

J. Math. Phys. 25(0), 600-606 (1984)

Abstract

Isometries compatible with asymptotic flatness and admitting radiation are studied by using Bondi's formalism.In axially symmetric space-times, the only second allowable symmetry that does not exclude radiation is boost symmetry. The boost-rotation symmetric solutions describe ``uniformly accelerated particles'' of various kinds. The news function is restricted by a differential equation; however, it need not vanish, as has been claimed in the literature. If two Killing fields corresponding to null rotations at null infinity are present, then it is shown that the vacuum field equations imply a further isometry. The resulting space-time is a plane wave. Journal of Mathematical Physics is copyrighted by The American Institute of Physics.

Institute authors

Bičák, Jiří

BibTeX

@article{UTF286,
  author        = {Bičák, J. and Schmidt, B.\textasciitilde{}G.},
  title         = {{Isometries compatible with gravitational radiation}},
  journal       = {J. Math. Phys.},
  volume        = {25},
  number        = {0},
  pages         = {600-606},
  year          = {1984},
  doi           = {DOI:10.1063/1.526161},
  url           = {http://link.aip.org/link/?JMAPAQ/25/600/1},
}