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Institute of Theoretical Physics · Faculty of Mathematics and Physics, Charles University

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Article

On conformally flat and type N pure radiation metrics

Podolský, J.; Prikryl, O.

Gen. Relativ. Gravit. 41(5), 1069-1081 (2009)

doi ↗ arXiv:0812.4944 ↗

Abstract

We study pure radiation spacetimes of algebraic types O and N with a possible cosmological constant. In particular, we present explicit transformations which put these metrics, that were recently re-derived by Edgar, Vickers and Machado Ramos, into a general Ozsváth–Robinson–Rózga form. By putting all such metrics into the unified coordinate system we confirm that their derivation based on the GIF formalism is correct. We identify only few trivial differences.

Keywords

Kundt spacetimes, conformally flat solutions, pure radiation

Institute authors

Supported by

  • GACR 202/06/0041 — Contemporary problems of general relativity and gravitation
  • LC06014 — Centrum teoretické astrofyziky
  • MSM0021620860 — Fyzikální studium objektů a procesů ve sluneční soustavě a v astro-fyzikálních systémech

BibTeX

@article{UTF383,
  author        = {Podolský, J. and Prikryl, O.},
  title         = {{On conformally flat and type N pure radiation metrics}},
  journal       = {Gen. Relativ. Gravit.},
  volume        = {41},
  number        = {5},
  pages         = {1069-1081},
  year          = {2009},
  doi           = {10.1007/s10714-008-0692-7},
  eprint        = {0812.4944},
  archivePrefix = {arXiv},
}