Exploring phase space trajectories in ΛCDM cosmology with f(G) gravity modifications
Myrzakulov N. Pradhan A. Dixit A. Shekh S.H.
30 September 2025World Scientific
International Journal of Geometric Methods in Modern Physics
2025#22Issue 11
In this work, the cosmic solutions, particularly the well-known ΛCDM model, are investigated in the framework of the Gauss–Bonnet (GB) gravity, where the gravitational action incorporates the GB invariant function. We utilize a specialized formulation of the deceleration parameter in terms of the Hubble parameter H, given by (Formula presented), to solve the field equations. To identify the appropriate model parameters, we align them to the most recent observational datasets, which include 31 data points from the Cosmic Chronometers, Pantheon+, and BAO datasets. The physical characteristics of the cosmographic parameters, such as pressure and energy density, that correlate to the limited values of the model parameters, are examined. The evolution of the deceleration parameter suggests a transition from a decelerated to an accelerated phase of the universe. Additionally, we examine the stability of the assumed model and provide an explanation for late-time acceleration using the energy conditions. The behavior of the equation of state parameter has been analyzed through dynamical variables by constraining various parameters in light of the recent observational data. This study has resulted in a quintessence-like evolution.
dark energy , f(G) gravity , FRW metric , Hubble parameter
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L. N. Gumilyov Eurasian National University, Astana, 010008, Kazakhstan
Centre for Cosmology, Astrophysics and Space Science (CCASS), GLA University, Mathura, 281406, India
Department of Mathematics, Gurugram University, Haryana, Gurugram, India
Department of Mathematics, S.P.M. Science and Gilani Arts, Commerce College, Ghatanji, Maharashtra, Yavatmal, 445301, India
L. N. Gumilyov Eurasian National University
Centre for Cosmology
Department of Mathematics
Department of Mathematics
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