This paper aims to discuss the gravitationally induced particle creation in the framework of f(𝒢,T) theory, which involves the non-minimal coupling (NMC) between Gauss–Bonnet (GB) invariant, 𝒢 and trace of the energy–momentum tensor (EMT), T. Here, NMC between matter and gravitational sector results in non-divergence of EMT. We discuss the generalized conservation equation for the irreversible process of matter creation with the help of generalized second law of thermodynamics (GSLT). Particle creation rate, creation pressure, entropy production rate and temperature are obtained for this theory using flat FRW geometry. We work on three particular f(𝒢,T) models and study cosmological implications of open irreversible thermodynamics. Furthermore, the impact of NMC on cosmological evolution and entropy production is briefly discussed.

中文翻译：

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在 f(𝒢,T) 重力下从热力学的角度创建粒子

本文旨在讨论引力诱导粒子产生的框架F(𝒢,吨)理论，其中涉及 Gauss-Bonnet (GB) 不变量之间的非最小耦合 (NMC)，𝒢和能量-动量张量（EMT）的迹线，吨. 在这里，物质和引力扇区之间的 NMC 导致 EMT 不发散。我们在广义热力学第二定律（GSLT）的帮助下讨论了物质产生的不可逆过程的广义守恒方程。粒子产生率、产生压力、熵产生率和温度是使用平面 FRW 几何获得的。我们致力于三个特定的F(𝒢,吨)模型和研究开放不可逆热力学的宇宙学意义。此外，还简要讨论了 NMC 对宇宙演化和熵产生的影响。