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In a certain class of scalar-Gauss-Bonnet gravity, the black holes and theneutron stars can undergo spontaneous scalarization -- a strong gravity phasetransition triggered by a tachyonic instability due to the nonminimal couplingbetween the scalar field and the spacetime curvature. Studies of thisphenomenon have, so far, been restricted mainly to the study of the tachyonicinstability and stationary scalarized black holes and neutron stars. To date,no realistic physical mechanism for the formation of isolated scalarized blackholes and neutron stars has been proposed. We study, for the first time, thespherically symmetric fully nonlinear stellar core collapse to a black hole anda neutron star in scalar-Gauss-Bonnet theories allowing for a spontaneousscalarization. We show that the core collapse can produce scalarized blackholes and scalarized neutron stars starting with a nonscalarized progenitorstar. The possible paths to reach the end (non)scalarized state are quite richleading to interesting possibilities for observational manifestations.

Dynamical Formation of Scalarized Black Holes and Neutron Stars through Stellar Core Collapse