论文标题
Noether对称分析中的Weyl Entigntable宇宙学中的新的精确和分析解决方案
New exact and analytic solutions in Weyl Integrable cosmology from Noether symmetry analysis
论文作者
论文摘要
我们考虑在弗里德曼 - 莱玛\^ıtre-robertson-walker背景空间中具有理想气体定义的宇宙宇宙学模型。在爱因斯坦 - 韦尔理论中，以几何方式引入了标量场。此外，标量场和理想气体在重力作用积分中相互作用。此外，我们介绍了标量场电位的潜在术语，我们表明该场方程允许MinisuperSpace描述。 Noether的定理适用于潜在功能的约束，并构建了相应的保护定律。最后，我们为宇宙学模型解决了汉密尔顿 - 雅各比方程，并得出了Weyl Entignable cosmology中的新解决方案。提出了一些Hubble函数的闭合形式表达式。
We consider a cosmological model in a Friedmann--Lema\^ıtre--Robertson--Walker background space with an ideal gas defined in Weyl Integrable gravity. In the Einstein-Weyl theory a scalar field is introduced in a geometric way. Furthermore, the scalar field and the ideal gas interact in the gravitational Action Integral. Furthermore, we introduce a potential term for the scalar field potential and we show that the field equations admit a minisuperspace description. Noether's theorem is applied for the constraint of the potential function and the corresponding conservation laws are constructed. Finally, we solve the Hamilton-Jacobi equation for the cosmological model and we derive a family of new solutions in Weyl Integrable cosmology. Some closed-form expressions for the Hubble function are presented.
