Black holes and wormholes in f(R) gravity with a kinetic curvature scalar

We study the chiral self-gravitating model (CSGM) of a special type in spherically symmetric static spacetime Einstein frame. Such CSGM is derived, by virtue Weyl conformal transformation, from gravity Jordan frame corresponding to modified $f(R)$ with kinetic scalar curvature. investigate using harmonic coordinates and consider case scaling transformation find classes solutions zero potential we horizons, centers asymptotic behavior obtained solutions. Other (for not equal zero) are found relation (ansatz) between metric components. Investigations for this new performed as well. Comparative analysis earlier literature made.