An Exact Calculation of the Energy Density of Cosmological Gravitational Waves

Details An Exact Calculation of the Energy Density of Cosmological Gravitational Waves An Exact Calculation of the Energy Density of Cosmological Gravitational Waves

1994-10-24

arxiv.org/abs/gr-qc/9410033v1

Phys.Rev. D52 (1995) 2083-2088

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

12 pages+5 figures, uuencoded file,DF/IST-2.94

Scientific paper

10.1103/PhysRevD.52.2083

In this paper we calculate the Bogoliubov coefficients and the energy density of the stochastic gravitational wave background for a universe that undergoes inflation followed by radiation domination and matter domination, using a formalism that gives the Bogoliubov coefficients as continous functions of time. By making a reasonable assumption for the equation of state during reheating, we obtain in a natural way the expected high frequency cutoff in the spectral energy density.

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