Duggal K L
Department of Mathematics and Statistics, University of Windsor, Windsor, ON, Canada N9B 3P4.
Int Sch Res Notices. 2016 Dec 4;2016:4903520. doi: 10.1155/2016/4903520. eCollection 2016.
We establish a link between a connection symmetry, called conformal collineation, and almost Ricci soliton (in particular Ricci soliton) in reducible Ricci symmetric semi-Riemannian manifolds. As a physical application, by investigating the kinematic and dynamic properties of almost Ricci soliton manifolds, we present a physical model of imperfect fluid spacetimes. This model gives a general relation between the physical quantities (, , , , , ) of the matter tensor of the field equations and does not provide any exact solution. Therefore, we propose further study on finding exact solutions of our viscous fluid physical model for which it is required that the fluid velocity vector be tilted. We also suggest two open problems.
我们在可约的里奇对称半黎曼流形中建立了一种称为共形共线的联络对称性与几乎里奇孤立子（特别是里奇孤立子）之间的联系。作为一个物理应用，通过研究几乎里奇孤立子流形的运动学和动力学性质，我们提出了一个不完善流体时空的物理模型。该模型给出了场方程物质张量的物理量（，，，，，）之间的一般关系，但没有提供任何精确解。因此，我们建议进一步研究寻找我们的粘性流体物理模型的精确解，为此需要使流体速度矢量倾斜。我们还提出了两个开放性问题。
