在非动力学Chern-Simons修正重力和它的卫星-卫星跟踪任务测量中有偏距离的特征：理论研究
Signature of biased range in the non-dynamical Chern-Simons modified gravity and its measurements with satellite-satellite tracking missions: Theoretical studies
摘要：
GRACE任务和计划中的GRACE后续任务在距离和距离变化率测量方面具有很高的精度，原则上可以用来对某些相对论引力理论进行强有力的约束。本文计算了星对星跟踪（SST）测量中非动力学Chern-Simons修正重力场的可观测距离。我们发现在非动力学的Chern-Simons引力中出现了一个特征的时间累积距离信号，这在标准的宇称保持度规引力理论中是没有的。对于这些SST任务的每次自由飞行，该Chern-Simons距离信号的幅度将达到$χcm$的几倍，这里$χ$是非动力学Chern-Simons理论的无量纲后牛顿参数。因此，利用GRACE卫星12年的观测数据，可以预期非动力学Chern-Simons引力的质量尺度$M_{CS}=\frac{4\hbar c}{χa}$可以被限制为大于$1.9\times10^{-9}eV$ .对于计划于2017年发射的GRACE FO任务，预计$M_{CS}\geq5\times10^{-7}eV$的约束要强得多。
英文摘要：
Having great accuracy in the range and range rate measurements,he GRACE mission and the planed GRACE Follow On mission can in principle be employed to place strong constraints on certain relativistic gravitational theories. In this paper, we work out the range observable of the non-dynamical Chern-Simons modified gravity for the Satellite-to-Satellite Tracking (SST) measurements. We find out that a characteristic time accumulating range signal appears in non-dynamical Chern-Simons gravity, which has no analogue found in the standard parity-preserving metric theories of gravity. The magnitude of this Chern-Simons range signal will reach a few times of $χcm$ for each free flight of these SST missions, here $χ$ is the dimensionless post-Newtonian parameter of the non-dynamical Chern-Simons theory. Therefore, with the 12 years data of the GRACE mission, one expects that the mass scale $M_{CS}=\frac{4\hbar c}{χa}$ of the non-dynamical Chern-Simons gravity could be constrained to be larger than $1.9\times10^{-9}eV$. For the GRACE FO mission that scheduled to be launched in 2017, the much stronger bound that $M_{CS}\geq5\times10^{-7}eV$ is expected.
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