论文标题
在液体球上猜想
On the fluid ball conjecture
论文作者
论文摘要
流体球猜想指出，静态的完美流体时空在球面上是对称的。在本文中，我们为静态的完美流体时空构建了鲁滨逊的差异公式。受这个猜想的启发，只要状态方程保持，就证明了满足某些边界条件的静态完美流体的空间因子的刚性结果。
The fluid ball conjecture states that a static perfect fluid space-time is spherically symmetric. In this paper we construct a Robinson's divergence formula for the static perfect fluid space-time. Inspired by this conjecture, a rigidity result for the spatial factor of a static perfect fluid satisfying some boundary conditions is proved, provided that an equation of state holds.
