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Black hole hairs in scalar-tensor gravity and the lack thereof

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arxiv 2304.12750 v3 pith:U2OYSWEE submitted 2023-04-25 gr-qc hep-th

Lodovico Capuano , Luca Santoni , Enrico Barausse This is my paper · ORCID
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keywords blackscalarscalar-tensortheorieshairsholeholeshorndeski
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Scalar-tensor theories are a natural alternative to general relativity, as they may provide an effective dark energy phenomenology on cosmological scales while passing local tests, but their black hole solutions are still poorly understood. Here, we generalize existing no-hair theorems for spherical black holes and specific theories in the scalar-tensor class. We show that shift symmetry prevents the appearance of scalar hairs in rotating (asymptotically flat, stationary and axisymmetric) black holes for all theories in the Horndeski/beyond Horndeski/DHOST classes, but for those with a coupling between the scalar and the Gauss--Bonnet invariant. Our proof also applies to higher dimensions. We also compute the values of the scalar hair charges if shift symmetry and asymptotic flatness are violated by a time growth of the scalar field at infinity, under suitable regularity conditions at the event horizon.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Towards long and accurate numerical relativity waveforms of binary black holes beyond general relativity

    gr-qc 2026-07 conditional novelty 6.5 of 10

    Spectral methods plus comoving fixing-the-equations drivers yield 40+ cycle equal-mass sGB binary waveforms with phase error ≲1 rad, distinguishable from GR and merging earlier.

  2. High-accuracy drivers to simulate black hole binaries beyond general relativity with the fixing-the-equations approach

    gr-qc 2026-07 conditional novelty 6.0 of 10

    Comoving tensor-aware driver equations in SpECTRE yield ~40-cycle sGB binary waveforms with O(1) rad phase error and eccentricity ≲10^{-3}, free of spurious spin growth.

  3. Test-Field vs Physical Quasi-Normal Modes in Scalar-Tensor Theories

    gr-qc 2025-05 conditional novelty 6.0 of 10

    Test-field QNM spectra of BCL black holes deviate strongly from physical axial gravitational QNM spectra at high overtones, while fundamental modes remain close.

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