Purely metric Horndeski theories and spontaneous curvaturization of black holes
arXiv:2502.14717 · doi:10.1103/PhysRevD.111.104007
Abstract
We explore purely metric theories of gravity with second-order equations of motion and a single additional, purely gravitational, propagating, scalar degree of freedom. We identify a subclass of these theories in which this scalar causes a phenomenon similar to black-hole scalarization, which we call curvaturization: around small enough Kerr black holes, the scalar induces a tachyonic instability. This triggers a sudden growth of Ricci curvature and results in a new branch of vacuum black-hole solutions. We study the properties of these black holes both in the static as well as the spinning case.
arXiv comment12 pages + references, 3 figures
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