We study the cosmological model of the FRW universe along with particle creation in the framework of Lyra’s geometry. The modified Einstein’s field equations based on Lyra’s geometry are presented and the exact solutions are obtained for dust, stiff matter, vacuum energy and radiation dominated models. The exact solutions are obtained under a specific choice of the particle creation function and quadratic deceleration parameter of the form $q=(8n^2-1)-12nt+3t^2$.

中文翻译：

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天琴座几何中的粒子创建和二次减速参数

我们研究了FRW宇宙的宇宙学模型，以及在Lyra几何学框架内的粒子创造。提出了基于Lyra几何形状的修改后的爱因斯坦场方程，并获得了针对粉尘，刚性物质，真空能和辐射主导模型的精确解。精确的解是在特定选择粒子生成函数和形式的二次减速参数后获得的$q=（8{ñ}^2-\mathrm{1个}）-12ñŤ+3{Ť}^2$。