Tidal response of regular black holes

Abstract

In this work, we investigate the tidal deformability of regular black holes (RBHs). Employing different phenomenological models, we analyze their response to both test fields and gravitational perturbations, interpreting the latter within the framework of Einstein's field equations in the presence of an appropriate exotic matter distribution. Numerical and analytical methods reveal that RBHs exhibit non-trivial tidal responses, influenced by their regularization parameters and exotic matter distributions. The results obtained for test fields and gravitational perturbations are in qualitative agreement. This hints at the possibility that similar conclusions could hold if these spacetimes were interpreted as solutions of a modified gravitational action. Our findings suggest that RBHs possess distinct, though subtle, tidal signatures, which may serve as observational probes of their internal structure in gravitational wave detections.