Effective-potential approach to graviton production in the early universe

Mathematics – Probability

Scientific paper

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19

Gravitational Waves, Gravitons, Pair Production, Potential Theory, Universe, Cosmology, Einstein Equations, Steepest Descent Method, Stress Tensors

Scientific paper

The production of gravitons in a homogeneous, isotropic, spatially flat universe containing radiation and a small admixture of cold baryons is studied by an effective-potential method which takes into account the back reaction of the produced gravitons on the geometry. The total probability per unit volume to produce a pair of gravitons is finite and has a very small value for a universe with parameters corresponding to my own.

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