GravitoMagnetic Field in Tensor-Vector-Scalar Theory

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

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5 pages

Scientific paper

We consider the perturbative regime of the TeVeS theory. We then compute the gravitomagnetic field that a slow moving mass distribution produces in its weak Newtonian regime. We report that the consistency of the TeVeS gravitomagnetic field near the Earth space-time geometry with the Lunar Laser Ranging measurements requires the scalar coupling $\frac{k}{4\pi}$ to be weaker than $3.3 \times 10^{-4}$ at the standard confidence level. This bound beside the astronomical data demands that the dimension full parameter of the theory ($l$) holds $l > (1.65\pm 0.35) \times 10^{25} m$.

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