Jordan frame no-hair for spherical scalar-tensor black holes

Abstract

A no-hair theorem for spherical black holes in scalar-tensor gravity is presented. Contrary to the existing theorems, which are proved in the Einstein conformal frame, this proof is performed entirely in the Jordan frame. The theorem is limited to spherical symmetry (instead of axisymmetry) but holds for non-constant Brans-Dicke couplings.

Typographical errors corrected, references updated. Matches version to appear in Phys. Rev. D

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• Black hole perturbations in Maxwell-Horndeski theories
• Constraining Horndeski theory with gravitational waves from coalescing binaries
• Gravitational-wave constraints on scalar-tensor gravity from a neutron star and black-hole binary GW200115
• Stability of neutron stars in Horndeski theories with Gauss-Bonnet couplings
• Angular and radial stabilities of spontaneously scalarized black holes in the presence of scalar-Gauss-Bonnet couplings
• Stability of Schwarzshild black holes in quadratic gravity with Weyl curvature domination
• Stealth black hole solutions in higher-order Maxwell-Einstein theories
• Brans-Dicke analogue of the Roberts geometry
• Constraining Scalar Charge in Neutron Stars through Gravitational Wave Signals from NSBH Mergers
• Linear perturbations of dyonic black holes in the lowest-order $U(1)$ gauge-invariant scalar-vector-tensor theories
• Mechanics of Isolated Horizons in Scalar-Tensor Theories