Abstract
In the framework of modified Weyl gravity, we observe the equilibrium picture of the thermodynamical laws for flat Friedmann–Robertson–Walker metric with chameleon scalar field and analyze the validity of the generalized second law of thermodynamics and thermal equilibrium condition for Hubble horizon along with Bekenstien–Hawking entropy. Also, we examine the effective equation of state parameter as well as the square speed of sound. By assuming four different choices of deceleration parameter, we investigate the behavior of equation of state parameter as well as the square speed of sound. The validity of generalized second law of thermodynamics and thermal equilibrium condition is also checked by taking the observational values of the model parameters from CC+H_o dataset.
Highlights
In cosmology, current experimental information appear to show the recent cosmic expansion of the universe
We observed the validity of generalized second law of thermodynamics (GSLT) and thermal equilibrium condition in Weyl gravity in a flat FRW universe with chameleon scalar field at Hubble horizon with Bekenstein-Hawking entropy, we constructed the cosmological parameters
We choose different parameterized deceleration parameter and Hubble parameter models in term of redshift, by using these models of Hubble parameter we discussed the validity of GSLT, thermal equilibrium condition as well as we discussed the stability condition and the behavior of equation of state (EoS) parameter
Summary
To illustrate the entire development history of the universe, a cosmological model needs both an accelerated and a decelerated phase, for this the deceleration parameter plays a vital part [3,17,18,19,20,21]. Mamon and Das [25] presented a logarithmic parameterization of the deceleration parameter in the spatially flat FRW metric. They used type Ia supernovae, cosmic microwave background and baryon acoustic oscillation dataset and they reconstructed the EoS, deceleration parameter and the jerk parameter compared with reconstructed models of parameterized deceleration parameter with other known parameterizations of q. Mamon [26] introduced a generalized parametrization of q to studied the development history of the universe. They used the recent measurement of the Hubble parameter found from the type Ia supernovae and cosmic chronometer model data. Tanhayi et al [32] shown that the estimated value
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