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Institute of Theoretical Physics · Faculty of Mathematics and Physics, Charles University

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Article

Robinson-Trautman solution with scalar hair

Tahamtan, T.; O. Svítek, O.

Phys. Rev. D 91, 104032 (2015)

doi ↗

Abstract

The explicit Robinson–Trautman solution with a minimally coupled free scalar field is derived and
analyzed. It is shown that this solution contains curvature singularity, which is initially naked but later
enveloped by the horizon. We use the quasilocal horizon definition and prove its existence in later retarded
times using sub- and supersolution method combined with growth estimates. We show that the solution is
generally of algebraic type II but reduces to type D in spherical symmetry.

Supported by

  • GACR 14-37086G — Albert Einstein Center for Gravitation and Astrophysics

BibTeX

@article{UTF552,
  author        = {Tahamtan, T. and O. Svítek, O.},
  title         = {{Robinson-Trautman solution with scalar hair}},
  journal       = {Phys. Rev. D},
  volume        = {91},
  pages         = {104032},
  year          = {2015},
  doi           = {10.1103/PhysRevD.91.104032},
}