Coincident gauge for static spherical field configurations in symmetric teleparallel gravity

Abstract In symmetric teleparallel gravities, where the independent connection is characterized by nonmetricity while curvature and torsion are zero, it possible to find a coordinate system whereby vanishes globally covariant derivatives reduce partial – coincident gauge. this paper we derive general transformation rules into gauge for spacetime configurations both metric static spherically symmetric, write out respective form of metrics. Taking different options in fixing freedom allowed symmetry field equations, Schwarzschild can take instance Cartesian, Kerr–Schild, diagonal (isotropic-like) forms, BBMB black hole scalar–tensor theory certain fits requirements but Cartesian Kerr–Schild forms do not. Different connections imply value boundary term which could principle be physically relevant, simple arguments about not seem sufficient fix uniquely. As byproduct investigation also point that only particular subset has vanishing Minkowski limit.