Towards Constraining Parity-Violations in Gravity with Satellite Gradiometry

Abstract

Parity violation in gravity, if existed, could have important implications, and it is meaningful to search and test the possible observational effects. Chern-Simons modified gravity serves as a natural model for gravitational parity-violations. Especially, considering extensions to Einstein-Hilbert action up to second order curvature terms, it is known that theories of gravitational parity-violation will reduce to the dynamical Chern-Simons gravity. In this letter, we outline the theoretical principles of testing the dynamical Chern-Simons gravity with orbiting gravity gradiometers, which could be naturally incorporated into future satellite gravity missions. The secular gravity gradient signals, due to the Mashhoon-Theiss (anomaly) effect, in dynamical Chern-Simons gravity are worked out, which can improve the constraint of the corresponding Chern-Simons length scale ${\xi }_{cs}^{\frac{1}{4}}$ obtained from such measurement scheme. For orbiting superconducting gradiometers or gradiometers with optical readout, a bound ${\xi }_{cs}^{\frac{1}{4}}\le 10^{6}km$ (or even better) could in principle be obtained, which will be at least 2 orders of magnitude stronger than the current one based on the observations from the GP-B mission and the LAGEOS I, II satellites.

15 pages, 6 figures. arXiv admin note: text overlap with arXiv:1606.08183

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