Gravitational wave background in perfect fluid quantum cosmologies
Patrick Peter (IAP, France), Emanuel J. C. Pinho, Nelson Pinto-Neto, (CBPF, Brazil)

TL;DR
This paper investigates the gravitational wave background generated by bouncing quantum cosmological models with perfect fluids, deriving the spectral index based on the fluid's equation of state using an ontological interpretation.
Contribution
It introduces a novel approach to solving tensor perturbation mode equations in quantum cosmology using an ontological interpretation, linking the spectral index to the fluid's equation of state.
Findings
Spectral index depends on the perfect fluid's equation of state.
Mode equations are solved explicitly within the quantum cosmology framework.
Provides insights into gravitational wave signatures in bouncing universe models.
Abstract
We discuss the gravitational wave background produced by bouncing models based on a full quantum evolution of a universe filled with a perfect fluid. Using an ontological interpretation for the background wave function allows us to solve the mode equations for the tensorial perturbations, and we find the spectral index as a function of the fluid equation of state.
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