Cosmological Adiabatic Geometric Phase of a Scalar Field in a Bianchi Spacetime

Details Cosmological Adiabatic Geometric Phase of a Scalar Field in a Bianchi Spacetime Cosmological Adiabatic Geometric Phase of a Scalar Field in a Bianchi Spacetime

2001-01-22

arxiv.org/abs/gr-qc/0101087v1

Turk.J.Phys. 24 (2000) 411-428

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Presented in the IX Regional Conference on Mathematical Physics Ref: Turkish J. Phys. 24, 411-128 (2000)

Scientific paper

A two-component formulation of the Klein-Gordon equation is used to investigate the cyclic and noncyclic adiabatic geometric phases due to spatially homogeneous (Bianchi) cosmological models. It is shown that no adiabatic geometric phases arise for Bianchi type I models. For general Bianchi type IX models the problem of the adiabatic geometric phase is shown to be equivalent to the one for nuclear quadrupole interactions of a spin. For these models nontrivial non-Abelian adiabatic geometrical phases may occur in general.

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