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 introduce a slow rotation of the source and examine its validity in the axi-symmetric case. We solve for the frame-dragging function accounting for the slow rotation and show that the deviations from the general relativity (GR) solution are screened in the weak-field approximation, meaning the solution for the frame-dragging function is the same as GR to leading order. This suggests that the Vainshtein mechanism in general can be extended to slowly rotating stars and it works in a similar way to the spherically symmetric case. We also discuss relativistic stars, and show that in some theories the frame-dragging function is the same as GR in vacuum, meaning that the screening is perfect outside the star.
Tuesday, 28 April, 2020 - 14:00 to 15:00
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Virtual seminar. Details here http://viavca.in2p3.fr/site.html
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