Lorentzian spacetimes with constant curvature invariants in three dimensions

Details Lorentzian spacetimes with constant curvature invariants in three dimensions Lorentzian spacetimes with constant curvature invariants in three dimensions

2007-10-21

arxiv.org/abs/0710.3903v2

Class.Quant.Grav.25:025008,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

14 pages; Modified to match published version

Scientific paper

10.1088/0264-9381/25/2/025008

In this paper we study Lorentzian spacetimes for which all polynomial scalar invariants constructed from the Riemann tensor and its covariant derivatives are constant (CSI spacetimes) in three dimensions. We determine all such CSI metrics explicitly, and show that for every CSI with particular constant invariants there is a locally homogeneous spacetime with precisely the same constant invariants. We prove that a three-dimensional CSI spacetime is either (i) locally homogeneous or (ii) it is locally a Kundt spacetime. Moreover, we show that there exists a null frame in which the Riemann (Ricci) tensor and its derivatives are of boost order zero with constant boost weight zero components at each order. Lastly, these spacetimes can be explicitly constructed from locally homogeneous spacetimes and vanishing scalar invariant spacetimes.

Affiliated with

Also associated with

No associations

Rating

Lorentzian spacetimes with constant curvature invariants in three dimensions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Lorentzian spacetimes with constant curvature invariants in three dimensions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Lorentzian spacetimes with constant curvature invariants in three dimensions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-210364