论文标题
撒谎对称方法，以时期的karmarkar状态
Lie symmetry approach to the time-dependent Karmarkar condition
论文作者
论文摘要
我们获得了时间依赖性的爱因斯坦场方程的溶液，该方程通过谎言对称的方法满足了Karmarkar条件。球形对称的时空指标与设置的度量函数一起使用，以施加保形平整，无魏尔无塌陷和无剪切的塌陷。特别是，发现了满足桑托斯热量边界条件的溶液，然后获得并研究了辐射恒星模型。无法在边界表面应用连接条件应用的解决方案可能会借给宇宙学模型。这是通过谎言对称方法生成满足Karmarkar条件的解决方案的首次尝试，而我们的辐射模型的示例突出了此方法的可行性。
We obtain solutions of the time-dependent Einstein Field Equations which satisfy the Karmarkar condition via the method of Lie symmetries. Spherically symmetric spacetime metrics are used with metric functions set to impose conformal flatness, Weyl-free collapse and shear-free collapse. In particular, a solution was found which satisfies the heat-flux boundary condition of Santos, and a radiating stellar model was then obtained and investigated. Solutions obtained which do not allow for the application of the junction conditions at a boundary surface may lend themselves to cosmological models. This is a first attempt in generating solutions satisfying the Karmarkar condition via the method of Lie symmetries and our example of a radiating model highlights the viability of this method.
