Type N universal spacetime

Spanish Relativity Meeting: almost 100 years after Einstein's revolution

Hervik, S.^1 ; Pravda, V.^2 ; Pravdová, A.^2

Faculty of Science and Technology, University of Stavanger, Stavanger

N-4036, Norway^1

Institute of Mathematics, Academy of Sciences of the Czech Republic, itná 25, Prague 1

115 67, Czech Republic^2

关键词: Arbitrary dimension;    Lagrangian;    Plane wave;    Spacetime;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/600/1/012065/pdf
DOI  :  10.1088/1742-6596/600/1/012065

来源: IOP

【 摘 要 】

Universal spacetimes are vacuum solutions to all theories of gravity with the Lagrangian L = L(gab, Rabcd, ∇a1Rbcde,, ∇a1apRbcde). Well known examples of universal spacetimes are plane waves which are of the Weyl type N. Here, we discuss recent results on necessary and sufficient conditions for all Weyl type N spacetimes in arbitrary dimension and we conclude that a type N spacetime is universal if and only if it is an Einstein Kundt spacetime. We also summarize the main points of the proof of this result.