Curvature invariants in type N spacetimes

Details Curvature invariants in type N spacetimes Curvature invariants in type N spacetimes

1998-04-02

arxiv.org/abs/gr-qc/9804005v2

Class.Quant.Grav.15:1539-1555,1998

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

17 pages, to appear in Class. Quantum Grav

Scientific paper

10.1088/0264-9381/15/6/011

Scalar curvature invariants are studied in type N solutions of vacuum Einstein's equations with in general non-vanishing cosmological constant Lambda. Zero-order invariants which include only the metric and Weyl (Riemann) tensor either vanish, or are constants depending on Lambda. Even all higher-order invariants containing covariant derivatives of the Weyl (Riemann) tensor are shown to be trivial if a type N spacetime admits a non-expanding and non-twisting null geodesic congruence. However, in the case of expanding type N spacetimes we discover a non-vanishing scalar invariant which is quartic in the second derivatives of the Riemann tensor. We use this invariant to demonstrate that both linearized and the third order type N twisting solutions recently discussed in literature contain singularities at large distances and thus cannot describe radiation fields outside bounded sources.

Affiliated with

Also associated with

No associations

Rating

Curvature invariants in type N spacetimes 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 Curvature invariants in type N spacetimes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Curvature invariants in type N spacetimes will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-121481