论文标题
均质和正交局部旋转对称II类宇宙学的一般扰动与耗散流体的应用
General Perturbations of Homogeneous and Orthogonal Locally Rotationally Symmetric Class II Cosmologies with Applications to Dissipative Fluids
论文作者
论文摘要
在1+1+1的协调分解的框架中，考虑了具有宇宙常数的II类宇宙学II类宇宙学的一阶扰动。用于一般能量量张量的扰动包括标量，矢量和张量模式，并扩展了一些以前的作品，其中物质被认为是完美的流体。通过谐波分解，方程系统随着时间的时间和代数约束转换为进化方程。然后将该结果应用于耗散的单组分流体，并在使用简化的可济会eCKART理论时，该系统将简化为两个封闭的子系统，该系统分别由奇数甚至部门控制了四个和八个谐波系数。该系统还可以在简化的因果理论中关闭。然后在Eckart理论中证明了如何通过粘度产生涡度。
First order perturbations of homogeneous and hypersurface orthogonal LRS (Locally Rotationally Symmetric) class II cosmologies with a cosmological constant are considered in the framework of the 1+1+2 covariant decomposition of spacetime. The perturbations, which are for a general energy-momentum tensor, include scalar, vector and tensor modes and extend some previous works where matter was assumed to be a perfect fluid. Through a harmonic decomposition, the system of equations is then transformed to evolution equations in time and algebraic constraints. This result is then applied to dissipative one-component fluids, and on using the simplified acausal Eckart theory the system is reduced to two closed subsystems governed by four and eight harmonic coefficients for the odd and even sectors respectively. The system is also seen to close in a simplified causal theory. It is then demonstrated, within the Eckart theory, how vorticity can be generated from viscosity.
