Warm inflation in hybrid metric-Palatini gravity under standard and irreversible thermodynamical approach

Warm inflation in hybrid metric-Palatini gravity under standard and irreversible thermodynamical approach
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标准和不可逆热力学方法下混合公制-帕拉蒂尼重力的暖膨胀

DOI:
10.1140/epjc/s10052-023-11200-y
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发表时间:
2023
期刊:
The European Physical Journal C
影响因子:
--
通讯作者:
H. R. Kausar
H. R. Kausar
中科院分区:
--
文献类型:
--
作者:
Iqra Shahid;R. Saleem;H. R. Kausar

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混合度规-帕拉蒂尼引力(HMPG)的思想是将具有非线性函数f(R)的Einstein Hilbert(EH)作用量与帕拉蒂尼引力的线性标量曲率R相结合。本文的目的是通过标准的和不可逆的引力近似来研究暖暴胀模型。我们首先得到了HMPG的场方程,然后通过观察慢滚参数、谱指数、谱指数的运行和张量标量比(r)等宇宙参数,研究了引力理论中的宇宙暴胀。其次,早期宇宙被认为是一个开放的系统。将引力场的热力学和动力学方程应用到相互作用的宇宙流体中,使我们采用WIM的基本形式。这个分析是使用希格斯势(HP)完成的。采用慢滚法,定义了若干无量纲变量,导出了标量场能量密度、辐射能量密度、标量场粒子数和温度等物理方程的数值结果,并给出了图形表示。从获得的结果,我们计算宇宙参数。最后,我们约束了模型参数,并将计算结果与Planck-2018数据进行了比较。
The idea of hybrid metric-Palatinigravity (HMPG) is a blend of Einstein Hilbert (EH) action having non-linear functionf(R) and linear scalar curvatureRby Palatini gravity. The goal of this paper is to investigate the warm inflationary model (WIM) via standard and irreversible thermodynamical approach ingravity. We start our work by obtaining the field equations (FEs) for HMPG and then investigate the cosmic inflation intheory of gravity by looking at cosmic parameters such as slow-roll parameters, spectral index, running of spectral indexand tensor-to-scalar ratio (r). Next, the early universe is considered as an open system. The thermodynamics and dynamical equations ingravity are applied to interacting cosmic fluid, which leads us to adapt the basic formalism of WIM. This analysis is done using Higgs Potential (HP). Numerical results of the thermodynamical equations such as scale factor (a(t)), scalar-field energy densityand radiation energy density, number of scalar-field particlesand temperatureare derived and presented graphically using slow-roll approach and defining several dimensionless variables. From obtained results, we calculate cosmic parameters. In the end, we constraint the model parameters, and compare our calculated results to the Planck-2018 data.