Bhupendra Kumar Shukla, D. Sofuoğlu, A. Beesham, Ala Ouguergouz, Shashi Narayan Shukla
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Observational Study of the Deceleration Parameter in \(\boldsymbol{f(R,L_{m})}\) Theory of Gravity
We investigate the implications of the modified gravity theory \(f(R,L_{m})\) on the cosmological evolution. By examining the nonlinear model \(f(R,L_{m})={R}/{2}+(\alpha R+1)L_{m}\), we explore the impact of a nonminimal coupling between curvature and matter on the cosmic expansion. Using a parametrized deceleration parameter dependent on the redshift \(z\), we analyze the Friedmann–Lemaître–Robertson–Walker (FLRW) universe in the \(f(R,L_{m})\) framework. Through observational constraints derived from Cosmic Chronometers (CC), Type Ia Supernovae (SNIa), and Baryon Acoustic Oscillations (BAO), we perform a detailed comparison with the standard \(\Lambda\)CDM model. Our results show that the \(f(R,L_{m})\) model is consistent with observational data, but deviations from the \(\Lambda\)CDM model emerge in its geometric structure, highlighting the potential of \(f(R,L_{m})\) gravity in explaining the dark energy and cosmic acceleration.
期刊介绍：
Gravitation and Cosmology is a peer-reviewed periodical, dealing with the full range of topics of gravitational physics and relativistic cosmology and published under the auspices of the Russian Gravitation Society and Peoples’ Friendship University of Russia. The journal publishes research papers, review articles and brief communications on the following fields: theoretical (classical and quantum) gravitation; relativistic astrophysics and cosmology, exact solutions and modern mathematical methods in gravitation and cosmology, including Lie groups, geometry and topology; unification theories including gravitation; fundamental physical constants and their possible variations; fundamental gravity experiments on Earth and in space; related topics. It also publishes selected old papers which have not lost their topicality but were previously published only in Russian and were not available to the worldwide research community
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