Possible altitudinal, latitudinal and directional dependence of relativistic Sagnac effect in Chern-Simons modified gravity

Abstract

Toward a test of parity violation in a gravity theory, possible effects of Chern-Simons (CS) gravity on an interferometer have been recently discussed. Continuing work initiated in an earlier publication [Okawara, Yamada and Asada, Phys. Rev. Lett. 109, 231101 (2012)], we study possible altitudinal and directional dependence of relativistic Sagnac effect in CS modified gravity. We compare the CS effects on Sagnac interferometers with the general relativistic Lense-Thirring (LT) effects. Numerical calculations show that the eastbound Sagnac interferometer might be preferred for testing CS separately, because LT effects on this interferometer cancel out. The size of the phase shift induced in the CS model might have an oscillatory dependence also on the altitude of the interferometer through the CS mass parameter $m_{CS}$. Therefore, the international space station site as well as a ground-based experiment is also discussed.

arXiv comment14 pages, 3 figures, accepted by PRD

References in corpus (16)

• Chern-Simons Modified General Relativity
• Quantum interferometric visibility as a witness of general relativistic proper time
• The Barbero-Immirzi Parameter as a Scalar Field: K-Inflation from Loop Quantum Gravity?
• The effects of Chern-Simons gravity on bodies orbiting the Earth
• Slowly-rotating stars and black holes in dynamical Chern-Simons gravity
• Interaction of the Barbero--Immirzi Field with Matter and Pseudo-Scalar Perturbations
• Vacuum Instability in Chern-Simons Gravity
• A new PPN parameter to test Chern-Simons gravity
• Parametrized Post-Newtonian Expansion of Chern-Simons Gravity
• Double Binary Pulsar Test of Dynamical Chern-Simons Modified Gravity
• Revisiting the double-binary-pulsar probe of non-dynamical Chern-Simons gravity
• A direct kinematical derivation of the relativistic Sagnac effect for light or matter beams
• General relativistic Sagnac formula revised
• Possible daily and seasonal variations in quantum interference induced by Chern-Simons gravity
• Possible latitude effects of Chern-Simons gravity on quantum interference
• Experimental determination of gravitomagnetic effects by means of ring lasers

Cited by in corpus (6)

• Probing Gravitational Parity Violation with Gravitational Waves from Stellar-mass Black Hole Binaries
• Weakly-Gravitating Objects in dynamical Chern-Simons gravity and Constraints with Gravity Probe B
• Prospects for testing the inverse-square law and gravitomagnetism using quantum interference
• Landau levels in a gravitational field: The Schwarzschild spacetime case
• Landau levels in a gravitational field: The Levi-Civita and Kerr spacetimes case
• Slow-rotating charged black hole solution in dynamical Chern-Simons modified gravity