On the wave equation in spacetimes of Goedel type

Details On the wave equation in spacetimes of Goedel type On the wave equation in spacetimes of Goedel type

2007-03-02

arxiv.org/abs/gr-qc/0703018v2

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Significantly updated version, also including discussion of the Som-Raychaudhuri (flat) case; Chapter in "G\"odel-type spaceti

Scientific paper

We analyze the d'Alembert equation in the Goedel-type spacetimes with spherical and Lobachevsky sections (with sufficiently rapid rotation). By separating the $t$ and $x_3$ dependence we reduce the problem to a group-theoretical one. In the spherical case solutions have discrete frequencies, and involve spin-weighted spherical harmonics. In the Lobachevsky case we give simple formulas for obtaining all the solutions belonging to the $D^\pm_\la$ sectors of the irreducible unitary representations of the reduced Lorentz group. The wave equation enforces restrictions on $\la$ and the allowed (here: continuous) spectrum of frequencies.

Affiliated with

Also associated with

No associations

Rating

On the wave equation in spacetimes of Goedel type 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 On the wave equation in spacetimes of Goedel type, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the wave equation in spacetimes of Goedel type will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-284553