https://doi.org/10.1140/epjc/s10052-018-6476-7
Regular Article - Theoretical Physics
Secular gravity gradients in non-dynamical Chern–Simons modified gravity for satellite gradiometry measurements
1
Academy of Mathematics and Systems Science, Chinese Academy of Sciences, No. 55 Zhongguancun East Road, Haidian District, Beijing, 100190, China
2
State Key Laboratory of Applied Optics, Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Changchun, 130033, China
3
University of Chinese Academy of Sciences, No. 19(A) Yuquan Road, Shijingshan District, Beijing, 100049, China
4
Chang’an University, Yanta District, Xi’an, 710064, China
* e-mail: xupeng@amss.ac.cn
Received:
29
June
2016
Accepted:
25
November
2018
Published online:
14
December
2018
With continuous advances in related technologies, precision tests of modern gravitational theories with orbiting gradiometers becomes feasible, which may naturally be incorporated into future satellite gravity missions. In this work, we derive, at the post-Newtonian level, the new secular gravity gradient signals from the non-dynamical Chern–Simons modified gravity for satellite gradiometry measurements, which may be exploited to improve the constraints on the mass scale 
or the corresponding length scale 
of the theory with future missions. For orbiting superconducting gradiometers, a bound 
and 
could in principle be obtained, and for gradiometers with optical readout based on the similar technologies established in the LISA PathFinder mission, an even stronger bound 
–
and 
–
might be expected.
© The Author(s), 2018
