English

Twistor quadrics and black holes

General Relativity and Quantum Cosmology 2022-12-21 v1 High Energy Physics - Theory

Abstract

A simple procedure is given to construct curved, non-self-dual (complexified) Kaehler metrics on space-time in terms of deformations of holomorphic quadric surfaces in flat twistor space. Imposing Lorentzian reality conditions, the Schwarzschild, Kerr, and Plebanski-Demianski space-times (among others) are derived as examples of the construction.

Keywords

Cite

@article{arxiv.2212.10491,
  title  = {Twistor quadrics and black holes},
  author = {Bernardo Araneda},
  journal= {arXiv preprint arXiv:2212.10491},
  year   = {2022}
}

Comments

7 pages

R2 v1 2026-06-28T07:45:16.790Z