Harmonic Analysis of Linear Fields on the Nilgeometric Cosmological Model

Details Harmonic Analysis of Linear Fields on the Nilgeometric Cosmological Model Harmonic Analysis of Linear Fields on the Nilgeometric Cosmological Model

2004-02-12

arxiv.org/abs/gr-qc/0402058v2

J.Math.Phys. 45 (2004) 4896-4919; Erratum-ibid. 46 (2005) 019902

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

28 pages, no figures, revised version to appear in JMP

Scientific paper

10.1063/1.1811373

To analyze linear field equations on a locally homogeneous spacetime by means of separation of variables, it is necessary to set up appropriate harmonics according to its symmetry group. In this paper, the harmonics are presented for a spatially compactified Bianchi II cosmological model -- the nilgeometric model. Based on the group structure of the Bianchi II group (also known as the Heisenberg group) and the compactified spatial topology, the irreducible differential regular representations and the multiplicity of each irreducible representation, as well as the explicit form of the harmonics are all completely determined. They are also extended to vector harmonics. It is demonstrated that the Klein-Gordon and Maxwell equations actually reduce to systems of ODEs, with an asymptotic solution for a special case.

Affiliated with

Also associated with

No associations

Rating

Harmonic Analysis of Linear Fields on the Nilgeometric Cosmological Model 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 Harmonic Analysis of Linear Fields on the Nilgeometric Cosmological Model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Harmonic Analysis of Linear Fields on the Nilgeometric Cosmological Model will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-451929