English

Apparent horizons in D-dimensional Robinson-Trautman spacetime

General Relativity and Quantum Cosmology 2010-04-14 v1

Abstract

We derive the higher dimensional generalization of Penrose-Tod equation describing apparent horizons in Robinson-Trautman spacetimes. New results concerning the existence and uniqueness of its solutions in four dimensions are proven. Namely, previous results of Tod are generalized to nonvanishing cosmological constant.

Keywords

Cite

@article{arxiv.0812.3345,
  title  = {Apparent horizons in D-dimensional Robinson-Trautman spacetime},
  author = {Otakar Svitek},
  journal= {arXiv preprint arXiv:0812.3345},
  year   = {2010}
}

Comments

4 pages, 1 figure, to appear in ERE 2008 conference proceedings, to be published by AIP

R2 v1 2026-06-21T11:53:14.204Z