论文标题
Vainshtein筛选缓慢旋转的星星
Vainshtein screening for slowly rotating stars
论文作者
论文摘要
我们在标量调节理论中缓慢旋转的恒星的背景下研究Vainshtein机制。虽然vainshtein筛选是针对球形对称的空间的良好确定的，但我们在轴对称情况下检查了其对缓慢旋转源的有效性。我们表明，在恒星外的弱场近似中，与一般相对论的偏差很小：框架拖拉函数的解与领先顺序的一般相对性相同。此外，在大多数情况下，如果筛选在球形对称性中进行，则通过Vainshtein Radius的功率抑制了校正。在Vainshtein半径外，框架拖动功能会收到未被Vainshtein Radius抑制的校正，但仍在转向。这表明通常可以将Vainshtein机理扩展到缓慢旋转的恒星，并且与Vainshtein半径内的静态情况相似。我们还研究相对论的恒星，并表明，对于某些理论，真空中的框架拖累功能根本无法接受校正，这意味着筛选是完美的恒星之外的。
We study the Vainshtein mechanism in the context of slowly rotating stars in scalar-tensor theories. While the Vainshtein screening is well established for spherically symmetric spacetimes, we examine its validity in the axisymmetric case for slowly rotating sources. We show that the deviations from the general relativity solution are small in the weak-field approximation outside the star: the solution for the frame-dragging function is the same as in general relativity at leading order. Moreover, in most cases the corrections are suppressed by powers of the Vainshtein radius provided that the screening operates in spherical symmetry. Outside the Vainshtein radius, the frame dragging function receives corrections that are not suppressed by the Vainshtein radius, but which are still subleading. This suggests that the Vainshtein mechanism in general can be extended to slowly rotating stars and that it works analogously to the static case inside the Vainshtein radius. We also study relativistic stars and show that for some theories the frame-dragging function in vacuum does not receive corrections at all, meaning that the screening is perfect outside the star.
