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

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

2007-09-26

arxiv.org/abs/0709.4185v1

Physics

Mathematical Physics

19 pages

Scientific paper

10.1063/1.2831904

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.

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