Abstract
The spectrum and amplitude of the stochastic background of relic gravitons producedin a bouncing universe is calculated. The matter content of the model consists ofdust and radiation fluids, and the bounce occurs due to quantum cosmological effectswhen the universe approaches the classical singularity in the contracting phase. Theresulting amplitude is very small and it cannot be observed by any present and nearfuture gravitational wave detector. Hence, as in the ekpyrotic model, any observationof these relic gravitons will rule out this type of quantum cosmological bouncing model.
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