Quantized gravitational wave perturbations in Robertson-Walker universe

Astronomy and Astrophysics – Astronomy

Scientific paper

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Astronomical Models, Cosmology, Gravitational Waves, Gravitons, Perturbation Theory, Quantum Theory, Space-Time Functions, Universe

Scientific paper

The theory of quantized gravitational wave perturbations is considered in the three types of Robertson-Walker universes. In a gauge analogous to the Coulomb gauge in electrodynamics it is possible to identify and quantize the independent degrees of freedom of the graviton field. The resulting theory is equivalent to that for a pair of massless minimally coupled scalar fields in the same background space-time. As an application of the formalism, the spectrum of gravitons produced by a power-law expansion of the universe is calculated and shown not to have any divergences.

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