Higher dimensional type N and III solutions of Einstein gravity and quadratic gravity

0442118 - MÚ 2016 RIV SG eng C - Konferenční příspěvek (zahraniční konf.)
Málek, Tomáš - Pravda, Vojtěch
Higher dimensional type N and III solutions of Einstein gravity and quadratic gravity.
The Thirteenth Marcel Grossmann Meeting: On Recent Developments in Theoretical and Experimental General Relativity, Astrophysics, and Relativistic Field Theories. Singapore: World Scientific, 2015 - (Rosquist, K.; Jantzen, R.; Ruffini, R.), s. 1071-1073. ISBN 978-981-4612-14-2.
[Proceedings of the MG13 Meeting on General Relativity. Stockholm (SE), 01.07.2012-07.07.2012]
Grant CEP: GA ČR GA13-10042S
Institucionální podpora: RVO:67985840
Klíčová slova: quadratic gravity * exact solutions * algebraic classification
Kód oboru RIV: BA - Obecná matematika
http://www.worldscientific.com/doi/abs/10.1142/9789814623995_0084

We study exact vacuum solutions to Einstein gravity and quadratic gravity (QG) of the Weyl types N and III. We show that in an arbitrary dimension all Einstein spacetimes of the Weyl type N and a subclass of Einstein type III spacetimes are exact solutions to QG and we refer to explicitly known metrics within these classes. We also study a wider class of spacetimes admitting a pure radiation term in the Ricci tensor. In contrast to the Einstein case, the field equations of generic QG determine optical properties of the geometry and restrict such exact solutions to the Kundt class.
Trvalý link: http://hdl.handle.net/11104/0245002