English

Strongly Focused Gravitational Waves

General Relativity and Quantum Cosmology 2020-05-08 v2

Abstract

This paper contains a new proof of the formation of trapped spheres, in vacuum spacetimes, by the focusing of gravitational waves, from generic data. The first such result was obtained by Christodoulou [Chr]. We exploit the same physical mechanism, but give a logically independent construction of these spacetimes.

Keywords

Cite

@article{arxiv.0906.3812,
  title  = {Strongly Focused Gravitational Waves},
  author = {Michael Reiterer and Eugene Trubowitz},
  journal= {arXiv preprint arXiv:0906.3812},
  year   = {2020}
}

Comments

36 pages; v2 is mathematically identical to v1, only the exposition has changed; Section 9 of v1 contains results that are absent in v2

R2 v1 2026-06-21T13:15:53.567Z