English

Robinson-Trautman solution with scalar hair

General Relativity and Quantum Cosmology 2015-07-31 v2

Abstract

Explicit Robinson-Trautman solution with minimally coupled free scalar field is derived and analyzed. It is shown that this solution contains curvature singularity which is initially naked but later the horizon envelopes it. We use 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.

Cite

@article{arxiv.1503.09080,
  title  = {Robinson-Trautman solution with scalar hair},
  author = {T. Tahamtan and O. Svitek},
  journal= {arXiv preprint arXiv:1503.09080},
  year   = {2015}
}

Comments

to appear in PRD

R2 v1 2026-06-22T09:07:00.276Z