Classical and quantum cosmology with two perfect fluids: stiff matter and radiation
F. G. Alvarenga, R. Fracalossi, R. C. Freitas, S. V. B., Gon\c{c}alves
TL;DR
This paper investigates the classical and quantum dynamics of a homogeneous, isotropic universe with stiff matter and radiation, deriving the scale factor behavior and constructing the universe's wave function.
Contribution
It introduces a combined classical and quantum analysis of the universe with two perfect fluids using Schutz's formalism, including wave packet construction.
Findings
Classical scale factor behavior derived for the universe with two fluids.
Quantum wave function of the universe constructed from wave packets.
Insights into quantum cosmology with stiff matter and radiation.
Abstract
In this work the homogeneous and isotropic Universe of Friedmann-Robertson-Walker is studied in the presence of two fluids: stiff matter and radiation described by the Schutz's formalism. We obtain to the classic case the behaviour of the scale factor of the universe. For the quantum case the wave packets are constructed and the wave function of the universe is found.
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