(Conformal) Killing vectors and their associated bivectors

Details (Conformal) Killing vectors and their associated bivectors (Conformal) Killing vectors and their associated bivectors

2002-03-06

arxiv.org/abs/gr-qc/0203022v1

Class.Quant.Grav. 19 (2002) 3799-3808

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Scientific paper

10.1088/0264-9381/19/14/318

Fayos and Sopuerta have recently set up a formalism for studying vacuum spacetimes with an isometry, a formalism that is centred around the bivector corresponding to the Killing vector and that adapts the tetrad to the bivector. Steele has generalized their approach to include the homothetic case. Here, we generalize this formalism to arbitrary spacetimes and to homothetic and conformal Killing vectors but do not insist on aligning the tetrad with the bivector. The most efficient way to use the formalism to find conformal Killing vectors (proper or not) of a given spacetime is to combine it with the notion of a preferred tetrad. A metric by Kimura is used as an illustrative example.

Affiliated with

Also associated with

No associations

Rating

(Conformal) Killing vectors and their associated bivectors 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 (Conformal) Killing vectors and their associated bivectors, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and (Conformal) Killing vectors and their associated bivectors will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-583077