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Autores principales: Sanyal, Aritra, Dhankar, Praveen Kumar, Munyeshyaka, Albert, Islam, Safiqul, Rahaman, Farook
Formato: Preprint
Publicado: 2025
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Acceso en línea:https://arxiv.org/abs/2508.06590
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author Sanyal, Aritra
Dhankar, Praveen Kumar
Munyeshyaka, Albert
Islam, Safiqul
Rahaman, Farook
author_facet Sanyal, Aritra
Dhankar, Praveen Kumar
Munyeshyaka, Albert
Islam, Safiqul
Rahaman, Farook
contents We study the emergence of cosmic hysteresis in cyclic bouncing universes within the framework of analytically reconstructed $f(R)$ gravity. Using exact bouncing scale factor solutions of exponential and power-law forms, we reconstruct the corresponding $f(R)$ models and investigate the thermodynamic behavior of a minimally coupled scalar field in these geometries. The pressure evolution during expansion and contraction phases is shown to be asymmetric, leading to a non-vanishing thermodynamic work integral over each cycle, defined by $\oint p_ϕ\, dV$. We identify closed hysteresis loops in the equation-of-state space and quantify the net energy transfer per cycle. Our results reveal that such reconstructed $f(R)$ models generically support irreversible evolution, demonstrating a natural emergence of the thermodynamic arrow of time. These findings provide new insight into the dissipative features of modified gravity and the long-term dynamics of cyclic cosmological scenarios.
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spellingShingle Cosmic Hysteresis in Reconstructed $f(R)$ Bounce Models: A Thermodynamic Study
Sanyal, Aritra
Dhankar, Praveen Kumar
Munyeshyaka, Albert
Islam, Safiqul
Rahaman, Farook
General Relativity and Quantum Cosmology
We study the emergence of cosmic hysteresis in cyclic bouncing universes within the framework of analytically reconstructed $f(R)$ gravity. Using exact bouncing scale factor solutions of exponential and power-law forms, we reconstruct the corresponding $f(R)$ models and investigate the thermodynamic behavior of a minimally coupled scalar field in these geometries. The pressure evolution during expansion and contraction phases is shown to be asymmetric, leading to a non-vanishing thermodynamic work integral over each cycle, defined by $\oint p_ϕ\, dV$. We identify closed hysteresis loops in the equation-of-state space and quantify the net energy transfer per cycle. Our results reveal that such reconstructed $f(R)$ models generically support irreversible evolution, demonstrating a natural emergence of the thermodynamic arrow of time. These findings provide new insight into the dissipative features of modified gravity and the long-term dynamics of cyclic cosmological scenarios.
title Cosmic Hysteresis in Reconstructed $f(R)$ Bounce Models: A Thermodynamic Study
topic General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2508.06590