Mode solutions of the Klein-Gordon equation in warped spacetimes

Details Mode solutions of the Klein-Gordon equation in warped spacetimes Mode solutions of the Klein-Gordon equation in warped spacetimes

2000-03-31

arxiv.org/abs/gr-qc/0003116v1

Class.Quant.Grav. 18 (2001) 207-224

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

20 pages, LaTeX file, nofigure

Scientific paper

10.1088/0264-9381/18/2/301

In order to reduce the Klein-Gordon equation (with minimal coupling), we introduce a generalization of the so-called "mode solutions" that are well-known in the special case of a Robertson-Walker universe. After separation of the variables, we end up with a partial differential equation in lower dimension. A reduced version of the Gordon current arises and is conserved. When the first factor-manifold is Lorentzian, distinct modes appear as mutually orthogonal in the sense of the sesquilinear form obtained from the customary Gordon current. Moreover, a sesquilinear form is defined on the space of solutions to the reduced equation. Extension of this picture to curvature coupling is possible when the second factor-manifold has a constant scalar curvature.

Affiliated with

Also associated with

No associations

Rating

Mode solutions of the Klein-Gordon equation in warped 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 Mode solutions of the Klein-Gordon equation in warped spacetimes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Mode solutions of the Klein-Gordon equation in warped spacetimes will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-291203