Graviton Mode Function in Inflationary Cosmology

Details Graviton Mode Function in Inflationary Cosmology Graviton Mode Function in Inflationary Cosmology

1993-11-02

arxiv.org/abs/gr-qc/9311002v3

Int.J.Mod.Phys. A11 (1996) 3175-3193

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

26 pages, revtex, 4 figures (available upon request). We have added a new Section VIII with four new figures, in which Eq. (35

Scientific paper

10.1142/S0217751X96001528

We consider the production of gravitons in an inflationary cosmology by approximating each epoch of change in the equation of state as sudden, from which a simple analytic graviton mode function has been derived. We use this mode function to compute the graviton spectral energy density and the tensor-induced cosmic microwave background anisotropy. The results are then compared to the numerical calculations which incorporate a smooth radiation-matter phase transition. We find that the sudden approximation is a fairly good method. Besides, in determining the frequency range and amplitude of the mode function, we introduce a pre-inflationary radiation-dominated epoch and use a physically sensible regularization method.

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