https://doi.org/10.1140/epjc/s10052-025-14454-w
Regular Article - Theoretical Physics
Classical and quantum cosmology of f(R) gravity’s rainbow in Schutz’s formalism
1
Departamento de Física, Facultad de Ciencias, Universidad de Tarapacá, Casilla 7-D, Arica, Chile
2
Instituto de Física, Pontificia Universidad Católica de Valparaíso, Casilla 4950, Valparaíso, Chile
a
giovanni.otalora@academicos.uta.cl
Received:
5
April
2025
Accepted:
21
June
2025
Published online:
30
June
2025
We investigate the classical and quantum dynamics of f(R) gravity’s rainbow in the presence of a perfect fluid, employing Schutz’s formalism to establish a well-defined notion of time. In the classical regime, we derive and solve the equations of motion, obtaining both analytical and numerical solutions. Through canonical quantisation, we formulate the Schrödinger–Wheeler–DeWitt (SWD) equation for the quantum model. By solving its eigenfunctions, we construct the wave function of the Universe and obtain analytical solutions in scenarios dominated by stiff matter. Our results highlight the impact of rainbow gravity on quantum evolution, particularly in modifying the structure of the wave function and shaping the transition from the quantum to the classical regime.
© The Author(s) 2025
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