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Screening of dipolar emission in two-scale Gauss-Bonnet gravity

Farid Thaalba1,2, Leonardo Gualtieri3, Thomas P. Sotiriou1,4, and Enrico Trincherini5

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Phys. Rev. D 114, 104042 – Published 12 November, 2026

DOI: https://doi.org/10.1103/z1mw-z5tk

Abstract

We study black holes in shift-symmetric scalar Gauss-Bonnet gravity extended by a cubic Galileon interaction with a distinct energy scale. Introducing this hierarchy profoundly modifies the theory’s phenomenology. The cubic interaction allows for smaller black holes, and can generate a screening mechanism near the horizon, making large Gauss-Bonnet couplings consistent with gravitational-wave bounds. Observable quantities such as the scalar charge, the innermost stable circular orbit, and its frequency are most affected for small black holes. The resulting multiscale effective field theory remains technically natural and offers new avenues to probe gravity in the strong-field regime.

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References (53)

  1. B. Carter, Axisymmetric black hole has only two degrees of freedom, Phys. Rev. Lett. 26, 331 (1971).
  2. P. T. Chrusciel, J. Lopes Costa, and M. Heusler, Stationary black holes: Uniqueness and beyond, Living Rev. Relativity 15, 7 (2012).
  3. R. P. Kerr, Gravitational field of a spinning mass as an example of algebraically special metrics, Phys. Rev. Lett. 11, 237 (1963).
  4. J. E. Chase, Event horizons in static scalar-vacuum space-times, Commun. Math. Phys. 19, 276 (1970).
  5. S. W. Hawking, Black holes in the Brans-Dicke theory of gravitation, Commun. Math. Phys. 25, 167 (1972).
  6. J. B. Hartle, Long-range neutrino forces exerted by Kerr black holes, Phys. Rev. D 3, 2938 (1971).
  7. C. Teitelboim, Nonmeasurability of the lepton number of a black hole, Lett. Nuovo Cimento 3S2, 397 (1972).
  8. J. D. Bekenstein, Nonexistence of baryon number for static black holes, Phys. Rev. D 5, 1239 (1972).
  9. J. D. Bekenstein, Nonexistence of baryon number for black holes. II, Phys. Rev. D 5, 2403 (1972).
  10. M. S. Volkov and D. V. Gal’tsov, Gravitating nonAbelian solitons and black holes with Yang-Mills fields, Phys. Rep. 319, 1 (1999).
  11. B. Kleihaus, J. Kunz, and F. Navarro-Lerida, Rotating black holes with non-Abelian hair, Classical Quantum Gravity 33, 234002 (2016).
  12. R. Gervalle and M. S. Volkov, Black holes with electroweak hair, Phys. Rev. Lett. 133, 171402 (2024).
  13. E. Berti et al., Testing general relativity with present and future astrophysical observations, Classical Quantum Gravity 32, 243001 (2015).
  14. T. P. Sotiriou, Black holes and scalar fields, Classical Quantum Gravity 32, 214002 (2015).
  15. V. Cardoso and L. Gualtieri, Testing the black hole ‘no-hair’ hypothesis, Classical Quantum Gravity 33, 174001 (2016).
  16. C. A. R. Herdeiro, Black holes: On the universality of the Kerr hypothesis, Lect. Notes Phys. 1017, 315 (2023).
  17. J. R. Gair, M. Vallisneri, S. L. Larson, and J. G. Baker, Testing general relativity with low-frequency, space-based gravitational-wave detectors, Living Rev. Relativity 16, 7 (2013).
  18. L. Barack et al., Black holes, gravitational waves and fundamental physics: A roadmap, Classical Quantum Gravity 36, 143001 (2019).
  19. N. Yunes, X. Siemens, and K. Yagi, Gravitational-wave tests of general relativity with ground-based detectors and pulsar-timing arrays, arXiv:2408.05240.
  20. J. D. Bekenstein, Novel “no-scalar-hair’’ theorem for black holes, Phys. Rev. D 51, R6608 (1995).
  21. T. P. Sotiriou and V. Faraoni, Black holes in scalar-tensor gravity, Phys. Rev. Lett. 108, 081103 (2012).
  22. L. Hui and A. Nicolis, No-hair theorem for the Galileon, Phys. Rev. Lett. 110, 241104 (2013).
  23. C. A. R. Herdeiro and E. Radu, Asymptotically flat black holes with scalar hair: A review, Int. J. Mod. Phys. D 24, 1542014 (2015).
  24. P. Kanti, N. E. Mavromatos, J. Rizos, K. Tamvakis, and E. Winstanley, Dilatonic black holes in higher curvature string gravity, Phys. Rev. D 54, 5049 (1996).
  25. P. Pani and V. Cardoso, Are black holes in alternative theories serious astrophysical candidates? the case for Einstein-Dilaton-Gauss-Bonnet black holes, Phys. Rev. D 79, 084031 (2009).
  26. N. Yunes and L. C. Stein, Non-spinning black holes in alternative theories of gravity, Phys. Rev. D 83, 104002 (2011).
  27. T. P. Sotiriou and S.-Y. Zhou, Black hole hair in generalized scalar-tensor gravity, Phys. Rev. Lett. 112, 251102 (2014).
  28. T. P. Sotiriou and S.-Y. Zhou, Black hole hair in generalized scalar-tensor gravity: An explicit example, Phys. Rev. D 90, 124063 (2014).
  29. A. Maselli, P. Pani, V. Cardoso, T. Abdelsalhin, L. Gualtieri, and V. Ferrari, Probing Planckian corrections at the horizon scale with LISA binaries, Phys. Rev. Lett. 120, 081101 (2018).
  30. E. Barausse et al., Prospects for fundamental physics with LISA, Gen. Relativ. Gravit. 52, 81 (2020).
  31. K. G. Arun et al. (LISA Collaboration), New horizons for fundamental physics with LISA, Living Rev. Relativity 25, 4 (2022).
  32. M. Colpi et al. (LISA Collaboration), LISA definition study report, arXiv:2402.07571.
  33. A. Abac et al., The science of the Einstein telescope, J. Cosmol. Astropart. Phys. 03 (2026) 081.
  34. M. Saravani and T. P. Sotiriou, Classification of shift-symmetric Horndeski theories and hairy black holes, Phys. Rev. D 99, 124004 (2019).
  35. F. Thaalba, G. Antoniou, and T. P. Sotiriou, Black hole minimum size and scalar charge in shift-symmetric theories, Classical Quantum Gravity 40, 155002 (2023).
  36. A. Eichhorn, P. G. S. Fernandes, A. Held, and H. O. Silva, Breaking black-hole uniqueness at supermassive scales, Classical Quantum Gravity 42, 105006 (2025).
  37. F. Thaalba, P. G. S. Fernandes, and T. P. Sotiriou, Supermassive black hole scalarization and effective field theory, Phys. Rev. D 113, 064005 (2026).
  38. L. Hui, A. Podo, L. Santoni, and E. Trincherini, Effective field theory for the perturbations of a slowly rotating black hole, J. High Energy Phys. 12 (2021) 183.
  39. J. Noller, L. Santoni, E. Trincherini, and L. G. Trombetta, Black hole ringdown as a probe for dark energy, Phys. Rev. D 101, 084049 (2020).
  40. E. Babichev and C. Deffayet, An introduction to the Vainshtein mechanism, Classical Quantum Gravity 30, 184001 (2013).
  41. A. Nicolis, R. Rattazzi, and E. Trincherini, The Galileon as a local modification of gravity, Phys. Rev. D 79, 064036 (2009).
  42. M. A. Luty, M. Porrati, and R. Rattazzi, Strong interactions and stability in the DGP model, J. High Energy Phys. 09 (2003) 029.
  43. F. Serra, J. Serra, E. Trincherini, and L. G. Trombetta, Causality constraints on black holes beyond GR, J. High Energy Phys. 08 (2022) 157.
  44. T. P. Sotiriou and E. Barausse, Post-Newtonian expansion for Gauss-Bonnet gravity, Phys. Rev. D 75, 084007 (2007).
  45. B. P. Abbott et al. (LIGO Scientific, Virgo, Fermi-GBM, INTEGRAL Collaborations), Gravitational waves and gamma-rays from a binary neutron star merger: GW170817 and GRB 170817A, Astrophys. J. Lett. 848, L13 (2017).
  46. N. Franchini and T. P. Sotiriou, Cosmology with subdominant Horndeski scalar field, Phys. Rev. D 101, 064068 (2020).
  47. B. Kleihaus, J. Kunz, S. Mojica, and E. Radu, Spinning black holes in Einstein–Gauss-Bonnet–dilaton theory: Nonperturbative solutions, Phys. Rev. D 93, 044047 (2016).
  48. J. F. M. Delgado, C. A. R. Herdeiro, and E. Radu, Spinning black holes in shift-symmetric Horndeski theory, J. High Energy Phys. 04 (2020) 180.
  49. P. Creminelli, N. Loayza, F. Serra, E. Trincherini, and L. G. Trombetta, Hairy black-holes in shift-symmetric theories, J. High Energy Phys. 08 (2020) 045.
  50. A. Yale and T. Padmanabhan, Structure of Lanczos-Lovelock Lagrangians in critical dimensions, Gen. Relativ. Gravit. 43, 1549 (2011).
  51. F. Dar, C. De Rham, J. T. Deskins, J. T. Giblin, and A. J. Tolley, Scalar gravitational radiation from binaries: Vainshtein mechanism in time-dependent systems, Classical Quantum Gravity 36, 025008 (2019).
  52. E. M. Sänger et al., Tests of general relativity with GW230529: A neutron star merging with a lower mass-gap compact object, Phys. Rev. D 113, 084070 (2026).
  53. F. Thaalba, L. Gualtieri, T. Sotiriou, and E. Trincherini, Data for “screening of dipolar emission in two-scale gauss-bonnet gravity”, 10.5281/zenodo.23219137 (2026).

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Phys. Rev. D 114, 104042– Published 12 November, 2026
  • Received 15 December 2025
  • Accepted 8 September 2026
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