We investigate the effect of particle creation in flat Friedmann-Lemaitre-Robertson-Walker (FLRW) spacetime under the higher derivative theory composition. The exact solution of the field equation in higher derivative theory is obtained by considering the quadratic equation of state, p = ωρ2 − ρ and different forms of deceleration parameter. The physical acceptance and stability of the models are explored by discussing energy conditions and squared sound speed. In addition to that, the statefinder diagnostic pair {r,s} is also scrutinized to measure the deviation of considered models from Λ cold dark matter (ΛCDM) model.

中文翻译：

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高导论中状态二次方程的粒子生成研究

我们研究了在更高导数理论组成下在平坦的弗里德曼-勒梅特-罗伯逊-沃克 (FLRW) 时空中粒子产生的影响。考虑二次状态方程，p = ωρ2 − ρ 和不同形式的减速参数，得到高导数理论中场方程的精确解。通过讨论能量条件和平方声速来探索模型的物理接受度和稳定性。除此之外，还仔细检查了状态查找器诊断对 {r,s} 以测量所考虑模型与 Λ 冷暗物质 (ΛCDM) 模型的偏差。