Spacetimes with continuous linear isotropies III: null rotations

Autor:	MacCallum, M. A. H.
Rok vydání:	2021
Předmět:	General Relativity and Quantum Cosmology
Druh dokumentu:	Working Paper
DOI:	10.1007/s10714-021-02869-1
Popis:	It is shown that in many cases local null rotation invariance of the curvature and its first derivatives is sufficient to ensure there is an isometry group G with dimension at least 3 acting on (a neighbourhood of) the spacetime and containing a null rotation isotropy. Invariance of the second derivatives is additionally required to ensure this conclusion in Petrov type N Einstein spacetimes, spacetimes containing "pure radiation" (a Ricci tensor of Segre type [(11,2)]), and conformally flat spacetimes with a Ricci tensor of Segre type [1(11,1)] (a "tachyon fluid"). Comment: Formatted for submission to General Relativity and Gravitation. Parts I and II accepted there and in press
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2106.01213 Zobrazit plný text záznamu View this record from Arxiv