English

5D gravitational waves from complexified black rings

General Relativity and Quantum Cosmology 2015-05-14 v2

Abstract

In this paper we construct and briefly study the 5D time-dependent solutions of general relativity obtained via double analytic continuation of the black hole (Myers-Perry) and of the black ring solutions with a double (Pomeransky-Senkov) and a single rotation (Emparan-Reall). The new solutions take the form of a generalized Einstein-Rosen cosmology representing gravitational waves propagating in a closed universe. In this context the rotation parameters of the rings can be interpreted as the extra wave polarizations, while it is interesting to state that the waves obtained from Myers-Perry Black holes exhibit an extra boost-rotational symmetry in higher dimensions which signals their better behavior at null infinity. The analogue to the C-energy is analyzed.

Keywords

Cite

@article{arxiv.0910.3903,
  title  = {5D gravitational waves from complexified black rings},
  author = {N. Bretón and A. Feinstein and L. A. López},
  journal= {arXiv preprint arXiv:0910.3903},
  year   = {2015}
}

Comments

18 pages, 4 figures. References added, introduction and conclusions are amended, some issues related to singularity structure and symmetries are discussed. Matches the print version to appear in JHEP

R2 v1 2026-06-21T14:01:02.967Z