Purely metric Horndeski theories and spontaneous curvaturization of black holes

Astrid Eichhorn; Pedro G. S. Fernandes

Purely metric Horndeski theories and spontaneous curvaturization of black holes

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arxiv 2502.14717 v1 pith:BSZLBT4H submitted 2025-02-20 gr-qc hep-th

Astrid Eichhorn , Pedro G. S. Fernandes This is my paper

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keywords blackholespurelyscalartheoriesblack-holecurvaturizationmetric

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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.

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Supermassive black hole scalarization and effective field theory
gr-qc 2025-06 accept novelty 6.0 of 10

A canonical two-scalar EFT cannot naturally produce supermassive-only black hole scalarization, because the generated G^2 term has the wrong sign and is suppressed.

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