English

Analytical solution of Brill waves

General Relativity and Quantum Cosmology 2021-08-12 v4

Abstract

A class of analytical solutions of axially symmetric vacuum initial data for a self-gravitating system has been found. The active region of the constructed gravitational wave is a thin torus around which the solution is conformally flat. For higher values of gravitational wave amplitude the resulting hypersurface contains apparent horizons.

Keywords

Cite

@article{arxiv.2107.02942,
  title  = {Analytical solution of Brill waves},
  author = {Piotr Koc},
  journal= {arXiv preprint arXiv:2107.02942},
  year   = {2021}
}

Comments

5 pages, 3 figures, minor corrections

R2 v1 2026-06-24T03:57:05.709Z