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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik

MP 9: Quanten+Gravitation 2

MP 9.2: Vortrag

Mittwoch, 27. Februar 2013, 17:40–18:05, HS 8

Mode decomposition and Fourier analysis of physical fields in homogeneous cosmology — •Zhirayr Avetisyan — Max Planck Institute for Mathematics in the Sciences, Leipzig, Germany — Institut für Theoretische Physik, Universität Leipzig, Germany

The methods of mode decomposition and Fourier analysis of quantum fields on curved spacetimes previously available mainly for the scalar fields on Friedman- Robertson-Walker spacetimes are extended to arbitrary vector fields on general spatially homogeneous spacetimes. This is done by developing a rigorous unified framework which incorporates mode decomposition, harmonic analysis and Fourier analysis. Explicit constructions are performed for a variety of situations arising in homogeneous cosmology. A number of results concerning classical and quantum fields known for very restricted situations are generalized to cover almost all cosmological models.