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arXiv 2005.05990gr-qchep-th
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慢转恒星的Vainshtein屏蔽

Vainshtein screening for slowly rotating stars

Timothy Anson, Eugeny Babichev

摘要:

我们研究Vainshtein机制的背景下,缓慢旋转的恒星标量张量理论。虽然Vainshtein屏蔽球对称时空建立,我们研究其有效性的轴对称的情况下,缓慢旋转的源。我们表明,偏离广义相对论的解决方案是小的弱场近似外的恒星:解决方案的框架拖曳功能是相同的,在广义相对论在领先的顺序。此外,在大多数情况下,校正被抑制的权力的范施泰因半径提供的屏蔽操作在球对称。在Vainshtein半径之外,帧拖动功能接收未被Vainshtein半径抑制但仍是子行距的校正。这表明,范施泰因机制一般可以扩展到缓慢旋转的恒星,它类似于范施泰因半径内的静态情况。我们还研究了相对论性恒星,并表明,对于某些理论,真空中的框架拖曳函数根本没有得到修正,这意味着恒星外部的屏蔽是完美的。

英文摘要:

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.

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