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Tracing cosmic evolution through Weyl-Type f(Q,T) gravity model: theoretical analysis and observational validation

2024/09/25 by Rahul Bhagat, Bhagat, Rahul, Francisco Tello‐Ortiz +3 · 3 citations
Earth and Planetary Sciences · Physics and Astronomy · #Cosmology and Gravitation Theories #Cosmology and Nongalactic Astrophysics (astro-ph.CO) #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Geophysics and Gravity Measurements #Relativity and Gravitational Theory

paper · pdf · doi:10.48550/arxiv.2409.17193

openalex publication_date 2024/09/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We investigate the cosmic evolution of the Universe across different cosmological epochs in exponential Weyl-type f(Q, T) gravity model. The theoretical analysis involves a detailed dynamical system approach, where we define dimensionless variables and derive a system of linear differential equations to identify critical points corresponding to the radiation, matter and de Siter phase. The findings show the transition from deceleration to acceleration phase, with stable and unstable critical points characterizing different phases of the evolution. In the second approach, we validate the theoretical predictions by using observational data from Cosmic Chronometers (CC) and Pantheon+ datasets. We constrain the Hubble parameter and subsequently analysed the other cosmological and geometrical parameters. In this approach also, the transition from deceleration to acceleration has been confirmed, with the equation of state (EoS) parameter approaching ΛCDM at late times. The further validate this, we present the behaviour of state finder pair. We obtain the age of the Universe 13.81 Gyr according to CC data and 13.96 Gyr with the Pantheon+ dataset. The model behaviour in both the approaches shows strong agreement in the late-time behavior of the Universe. The evolutionary behaviour of Hubble parameter and distance modulus, reinforcing the reliability of the Weyl-type f(Q, T) gravity model in describing the expansion history of Universe.

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