Precession of spheroids under Lorentz violation and observational consequences for neutron stars

The Standard-Model Extension (SME) is an effective-field-theoretic framework that catalogs all Lorentz-violating field operators. anisotropic correction from the minimal gravitational SME to Newtonian energy for spheroids studied, and rotation of rigid solved with perturbation method numerical approach. well-known forced precession solution given by Nordtvedt in parametrized post-Newtonian formalism recovered applied two observed solitary millisecond pulsars set bounds on coefficients Lorentz violation framework. A different solution, which describes otherwise free-precessing star presence violation, found, its consequences pulsar signals continuous waves emitted neutron stars (NSs) are investigated. study provides new possible tests once NSs firmly identified future.