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Standard-model extension (SME) is an effective field theory introducing allpossible Lorentz-violating (LV) operators to the standard model (SM) andgeneral relativity (GR). In the pure-gravity sector of minimal SME (mSME), ninecoefficients describe dominant observable deviations from GR. We systematicallyimplemented twenty-seven tests from thirteen pulsar systems to tightlyconstrain eight linear combinations of these coefficients with extensive MonteCarlo simulations. It constitutes the first detailed and systematic test of thepure-gravity sector of mSME with the state-of-the-art pulsar observations. Nodeviation from GR was detected. The limits of LV coefficients are expressed inthe canonical Sun-centered celestial-equatorial frame for convenience offurther studies. They are all improved by significant factors of tens tohundreds with existing ones. As a consequence, Einstein's equivalence principleis verified substantially further by pulsar experiments in terms of localLorentz invariance in gravity.

Tests of local Lorentz invariance violation of gravity in the standard model extension with pulsars