论文标题
缓慢旋转变性星的弯曲时空中的状态方程
Equation of states in the curved spacetime of slowly rotating degenerate stars
论文作者
论文摘要
我们通过使用缓慢旋转的轴向对称恒星的弯曲时空来计算退化费米子集合的状态方程。我们表明，在这种弯曲的时空计算的状态方程取决于重力时间扩张以及惯性框架的拖动，这与在全球平坦的时空计算的状态方程不同。重力时间扩张的影响导致退化中子恒星的最大质量极限显着增强。但是，由于框架拖拉效果而引起的这种增强非常小。然而，总的来说，框架拖拉效应对于计算恒星的角动量至关重要，这也被证明是由于弯曲时空在计算状态方程中的使用而显着增强。
We compute the equation of state for an ensemble of degenerate fermions by using the curved spacetime of a slowly rotating axially symmetric star. We show that the equation of state computed in such curved spacetime depends on the gravitational time dilation as well as on the dragging of inertial frames, unlike an equation of state computed in a globally flat spacetime. The effect of gravitational time dilation leads to a significant enhancement of the maximum mass limit of a degenerate neutron star. However, such an enhancement due to the frame-dragging effect is extremely small. Nevertheless, in general relativity the frame-dragging effect is crucial for computing angular momentum of the star which is also shown to be enhanced significantly due to the usage of curved spacetime in computing the equation of state.
