论文标题
共形几何形状的研究及其对大地偏差方程的精确解决方案
The study of conformal geometry and its exact solution of the geodesic deviation equation
论文作者
论文摘要
在本文中，研究了共形度量的几何特性，并提出了地球偏差方程的确切解决方案。我们还找出了该几何形状的应力能量张量，并将其与通常的perfect-Fluid情况进行了比较，在4D时空维度中获得了状态方程为$ p = - \ frac {1} {1} {3}ρ$。最后，研究了该度量的低能状态，其中我们获得与投影张量成比例的应力能量张量。
In this paper, the geometric properties of the conformal metric are studied and its exact solution of the geodesic deviation equation is presented. We also find out the stress-energy tensor of this geometry and compare it with the usual prefect-fluid case, obtaining an equation of state as $P = -\frac{1}{3}ρ$ in 4D space-time dimension. Finally, the low-energy regime of the metric is studied, in which we obtain the stress-energy tensor proportional to the projection tensor.
