A new limit on local Lorentz invariance violation of gravity from solitary pulsars
Lijing Shao, R. Nicolas Caballero, Michael Kramer, Norbert Wex, David, J. Champion, Axel Jessner

TL;DR
This paper sets a new, stringent limit on local Lorentz invariance violation in gravity by analyzing pulsar data, improving previous constraints by over two orders of magnitude.
Contribution
It introduces a novel method to constrain the parameter using pulsar pulse profiles, leveraging 15 years of observations from two solitary millisecond pulsars.
Findings
Established a limit of || < 1.6 7 at 95% confidence
Improved previous Solar system constraints by over two orders of magnitude
Used long-term observational data from Effelsberg radio telescope
Abstract
Gravitational preferred frame effects are generally predicted by alternative theories that exhibit an isotropic violation of local Lorentz invariance of gravity. They are described by three parameters in the parametrized post-Newtonian formalism. One of their strong-field generalizations, , induces a precession of a pulsar's spin around its movement direction with respect to the preferred frame. We constrain by using the non-detection of such a precession using the characteristics of the pulse profile. In our analysis we use a large number of observations from the 100-m Effelsberg radio telescope, which cover a time span of approximately 15 years. By combining data from two solitary millisecond pulsars, PSRs B1937+21 and J1744-1134, we get a limit of at 95% confidence level, which is more than two orders of magnitude…
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