Analytical scalar field solutions on Lifshitz spacetimes

In this work, we investigate the existence of analytic solutions static scalar fields on Lifshitz spacetimes. We evade Derrick's theorem curved spacetimes by breaking general covariance and use first-order formalism to obtain with finite energy related time-translational invariance background geometry along energy-momentum tensor model. show that such exist are stable in systems where is fixed self-interaction potential field explicitly depends radial coordinate present metric.