https://doi.org/10.1140/epjc/s10052-024-13221-7
Regular Article – Theoretical Physics
Dynamical reconstruction of the 
CDM model in hybrid metric-Palatini gravity
1
Institute of Physics, University of Tartu, W. Ostwaldi 1, 50411, Tartu, Estonia
2
Institute of Theoretical Physics and Astrophysics, University of Gdańsk, Jana Bażyńskiego 8, 80-309, Gdańsk, Poland
Received:
6
June
2024
Accepted:
9
August
2024
Published online:
4
September
2024
In this work, we apply the formalism of dynamical systems to analyze the viability of the CDM model in a generalized form of the hybrid metric-Palatini gravity theory written in terms of its dynamically equivalent scalar–tensor representation. Adopting a matter distribution composed of two relativistic fluids described by the equations of state of radiation and pressureless dust, one verifies that the cosmological phase space features the usual curvature-dominated, radiation-dominated, matter-dominated, and exponentially accelerated fixed points, even in the absence of a dark energy component. A numerical integration of the dynamical equations describing the system, subjected to initial conditions consistent with the cosmographic observations from the Planck satellite and weak-field solar system dynamics, shows that cosmological solutions mimicking the behavior of the CDM model in General Relativity (GR) are attainable in this theory, with the deviations from GR being exponentially suppressed at early-times and the scalar-field potential effectively playing the role of dark energy at late times.
© The Author(s) 2024
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