论文标题
超越相对论的拉格朗日扰动理论。 I.结构形成的精确解决模型
Beyond relativistic Lagrangian perturbation theory. I. An exact-solution controlled model for structure formation
论文作者
论文摘要
我们开发了一种新的非线性方法，以从相对论拉格朗日扰动方案的概括为一般相对论建模形成，该方法由Szekeres（和LTB）精确解决方案控制。总体方法可以解释为在不均匀参考模型上的变形场的演变，遵守局部类似弗里德曼的方程。在本地一维变形的特殊情况下，新模型包含整个Szekeres家族的精确解决方案。因此，这种方法可以解释牛顿和相对论的Zel'Dovich近似值，在相对论自由度相关的环境中具有很大的应用潜力。实施数值模拟以说明模型的功能和准确性。
We develop a new nonlinear method to model structure formation in general relativity from a generalization of the relativistic Lagrangian perturbation schemes, controlled by Szekeres (and LTB) exact solutions. The overall approach can be interpreted as the evolution of a deformation field on an inhomogeneous reference model, obeying locally Friedmann-like equations. In the special case of locally one-dimensional deformations, the new model contains the entire Szekeres family of exact solutions. As thus formulated, this approach paraphrases the Newtonian and relativistic Zel'dovich approximations, having a large potential for applications in contexts where relativistic degrees of freedom are relevant. Numerical simulations are implemented to illustrate the capabilities and accuracy of the model.
