On local equivalence problem of spacetimes with two orthogonally transitive commuting Killing fields

Fuente: arXiv
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Autores principales: Marvan, M., Stolin, O.
Formato: Preprint
Publicado: 2007
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author Marvan, M.
Stolin, O.
author_facet Marvan, M.
Stolin, O.
contents Considered is the problem of local equivalence of generic four-dimensional metrics possessing two commuting and orthogonally transitive Killing vector fields. A sufficient set of eight differential invariants is explicitly constructed, among them four of first order and four of second order in terms of metric coefficients. In vacuum case the four first-order invariants suffice to distinguish generic metrics.
format Preprint
id arxiv_https___arxiv_org_abs_0709_4185
institution arXiv
publishDate 2007
record_format arxiv
spellingShingle On local equivalence problem of spacetimes with two orthogonally transitive commuting Killing fields
Marvan, M.
Stolin, O.
Mathematical Physics
83C20, 35Q75
Considered is the problem of local equivalence of generic four-dimensional metrics possessing two commuting and orthogonally transitive Killing vector fields. A sufficient set of eight differential invariants is explicitly constructed, among them four of first order and four of second order in terms of metric coefficients. In vacuum case the four first-order invariants suffice to distinguish generic metrics.
title On local equivalence problem of spacetimes with two orthogonally transitive commuting Killing fields
topic Mathematical Physics
83C20, 35Q75
url https://arxiv.org/abs/0709.4185