Weakly-gravitating objects in dynamical Chern–Simons gravity and constraints with gravity probe B

Weakly-gravitating objects in dynamical Chern–Simons gravity and constraints with gravity probe B
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动态陈-西蒙斯引力中的弱引力物体以及重力探针 B 的约束

DOI:
10.1088/1361-6382/ab04c5
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发表时间:
2019
影响因子:
3.5
通讯作者:
Yunes, Nicolás
Yunes, Nicolás
中科院分区:
物理与天体物理3区
文献类型:
--
作者:
Nakamura, Yuya;Kikuchi, Daiki;Yamada, Kei;Asada, Hideki;Yunes, Nicolás

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传统上,太阳系观测可以对爱因斯坦的广义相对论进行非常严格的测试。我们在这里重新审视利用这些观测结果来约束动力学陈-西蒙斯引力中的引力宇称破缺的可能性。在小耦合和后牛顿近似下,我们分析计算了具有均匀旋转和四极质量变形的孤立弱引力物体内部和外部的标量场和引力场的重磁扇区。我们发现,外部场的渐近剥离行为与黑洞和中子星以及非相对论物体的渐近剥离行为一致,但总体系数不同且取决于弱场源的结构。然后,我们使用这些场来明确计算对地球轨道上陀螺仪自旋进动的动力学陈-西蒙斯校正,我们发现该校正与广义相对论的透镜-蒂林效应方向相同。然后,我们将这一修正与广义相对论的自旋进动预测与重力探测器 B 实验的结果进行比较,以对动力学陈-西蒙斯理论施加约束,该约束与之前的近似估计一致。虽然我们主要关注单个物体,但我们的方法可以直接扩展到二元系统或 N 体。
Solar system observations have traditionally allowed for very stringent tests of Einstein's theory of general relativity. We here revisit the possibility of using these observations to constrain gravitational parity violation as encapsulated in dynamical Chern–Simons gravity. Working in the small-coupling and post-Newtonian approximations, we calculate analytically the scalar field and the gravitomagnetic sector of the gravitational field in the interior and the exterior of an isolated, weakly-gravitating object with uniform rotation and a quadrupolar mass deformation. We find that the asymptotic peeling-off behavior of the exterior fields is consistent with that found for black holes and neutron stars, as well as for non-relativistic objects, with overall coefficients that are different and dependent on the structure of the weak-field source. We then use these fields to explicitly calculate the dynamical Chern–Simons correction to the spin precession of gyroscopes in orbit around Earth, which we find to be in the same direction as the Lense–Thirring effect of general relativity. We then compare this correction to the spin precession prediction of general relativity to the results of the gravity probe B experiment to place a constraint on dynamical Chern–Simons theory that is consistent with previous approximate estimates. Although we focus primarily on a single body, our methods can be straightforwardly extended to binary systems or N-bodies.
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