Nonreciprocal black holes with primary hair in beyond Horndeski gravity: Exact solutions and stability

arXiv:2610.11712 · gr-qc, astro-ph.HE, hep-th · Submitted 2026-10-08 · Read on arXiv

gr-qc, astro-ph.HE, hep-th

Submitted: 2026-10-08

Updated: 2026-10-08

Terminology

• Core — 6× in this paper · explained in 2 episodes
• General Relativity — 5× in this paper
• Quadratic Degenerate Higher-Order Scalar-Tensor — 3× in this paper
• Degeneracy — 2× in this paper · explained in 3 episodes
• Institute for Basic Science — 2× in this paper
• Regularization — 2× in this paper · explained in 3 episodes
• Decoupling — 1× in this paper · explained in 2 episodes
• Robustness — 1× in this paper · explained in 5 episodes
• Trace — 1× in this paper · explained in 2 episodes

Sources

• The galileon as a local modification of gravity
• Dilatonic Black Holes in Higher Curvature String Gravity
• A no-hair theorem for the galileon
• Black hole hair in generalized scalar-tensor gravity
• Dressing a black hole with a time-dependent Galileon
• Black Holes and Scalar Fields
• Asymptotically flat black holes with scalar hair: a review
• Evasion of No-Hair Theorems and Novel Black-Hole Solutions in Gauss-Bonnet Theories
• Asymptotically flat black holes in Horndeski theory and beyond
• New Gauss-Bonnet black holes with curvature induced scalarization in the extended scalar-tensor theories
• Spontaneous scalarization of black holes and compact stars from a Gauss-Bonnet coupling
• Black holes, gravitational waves and fundamental physics: a roadmap
• Hairy Schwarzschild-(A)dS black hole solutions in DHOST theories beyond shift symmetry
• Hairy Black-holes in Shift-symmetric Theories
• On Rotating Black Holes in DHOST Theories
• Regular black holes and gravitational particle-like solutions in generic DHOST theories
• Black holes with primary scalar hair
• Endorsing black holes with beyond Horndeski primary hair: An exact solution framework for scalarizing in every dimension
• Compact objects with primary hair in shift and parity symmetric beyond Horndeski gravities
• Primary black-hole scalar charges and kinetic screening in $K$-essence-Gauss-Bonnet gravity

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