Test of Einstein's Equivalence Principle by Galactic Dark Matter

Abstract

We report here the results of operation of a torsion balance with a period of $\sim 1.27\times 10^4$ s. The analysis of data collected over a period of $\sim$115 days shows that the difference in the accelerations towards the Galactic Center of test bodies made of aluminum and quartz was $(0.61\pm 1.27)\times 10^{-15}{\mathrm{m}\mathrm{s}}^{-2}$. This sets a bound on the violation of the equivalence principle by forces exerted by Galactic dark matter which is expressed by the Eötvös parameter ${\eta }_{DM}=(1.32\pm 2.68)\times 10^{-5}$, a significant improvement upon earlier bounds.

I was carefully reviewing the data analysis procedure adopted in our paper "Test of Einstein's Equivalence Principle by Galactic Dark Matter" submitted on February 15, 2019. I have just noticed a subtle error in the analysis. It is sufficiently serious that with great regret I am compelled to withdraw the paper from arXiv

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• A millisecond pulsar in a stellar triple system
• PSR J0337+1715: an appropriate laboratory for testing the Nordtvedt effect