论文标题
Karmarkar标量条件
Karmarkar scalar condition
论文作者
论文摘要
在这项工作中，我们介绍了从riemann张量的正交分解获得的结构标量的角度。这是新表达式成为物理变量之间的代数关系，而不是度量系数之间的微分方程。通过使用Karmarkar标量条件，我们实施了一种方法，以获取能量密度曲线，以获取所有可能的I类静态球形溶液。我们还分析了动态绝热病例，并显示了Kamarkar条件与重力崩溃研究的几种通常假定的简化。最后，我们考虑了耗散的动态karmarkar崩溃，并找到了一个新的解决方案系列。
In this work we present the Karmarkar condition in terms of the structure scalars obtained from the orthogonal decomposition of the Riemann tensor. This the new expression becomes an algebraic relation among the physical variables, and not a differential equation between the metric coefficients. By using the Karmarkar scalar condition we implement a method to obtain all possible embedding class I static spherical solutions, provided the energy density profile is given. We also analyse the dynamic adiabatic case and show the incompatibility of the Kamarkar condition with several commonly assumed simplifications to the study of gravitational collapse. Finally, we consider the dissipative dynamic Karmarkar collapse and find a new solution family.
