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Scalar emission from binary neutron stars in scalar-tensor theories with kinetic screening

Ramiro Cayuso1,2,*, Adrien Kuntz3,†, Thiago Assumpção4,‡, Miguel Bezares5,6,§, and Enrico Barausse1,2,∥

  • *Contact author: rcayuso@sissa.it
  • Contact author: adrien.kuntz@tecnico.ulisboa.pt
  • Contact author: tassumpo@uwm.edu
  • §Contact author: miguel.bezaresfigueroa@nottingham.ac.uk
  • Contact author: barausse@sissa.it

Phys. Rev. D 114, 024073 – Published 27 July, 2026

DOI: https://doi.org/10.1103/tvym-y49r

Abstract

We investigate the scalar emission from binary neutron stars in shift-symmetric scalar-tensor theories with kinetic screening (K-essence), using 3+1 numerical simulations in the decoupling limit. To construct static binary initial data in the regime where the screening radius r* greatly exceeds the orbital separation, we introduce a hyperbolization of the static field equations that bypasses the Keldysh-type breakdown affecting direct time evolutions. For equal-mass binaries, where the scalar emission is dominated by the =m=2 mode, kinetic screening acts nonmonotonically on the scalar radiation, suppressing or enhancing the quadrupolar amplitude depending on the relative size of r* and λ22 (with λ22 the wavelength): for λ22r* it is suppressed relative to the Fierz-Jordan-Brans-Dicke (FJBD) case, while for λ22r* it is amplified above FJBD. For unequal-mass binaries a scalar dipole reemerges, growing linearly with the mass asymmetry, while the quadrupolar screening remains close to the equal-mass case down to mass ratios 0.6. The nonmonotonic behavior of kinetic screening that we uncover has potential implications for gravitational-wave-based tests of gravity. The relativistic double pulsar, in particular, requires r*109km to efficiently suppress the scalar quadrupole; for cosmologically-motivated Λ, r*1011km (for a solar-mass source), giving only moderate suppression.

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References (75)

  1. B. P. Abbott et al. (LIGO Scientific and Virgo Collaborations), Tests of general relativity with GW150914, Phys. Rev. Lett. 116, 221101 (2016); 121, 129902(E) (2018).
  2. B. P. Abbott et al. (LIGO Scientific and Virgo Collaborations), Tests of general relativity with GW170817, Phys. Rev. Lett. 123, 011102 (2019).
  3. B. P. Abbott et al. (LIGO Scientific and Virgo Collaborations), Tests of general relativity with the binary black hole signals from the LIGO-Virgo catalog GWTC-1, Phys. Rev. D 100, 104036 (2019).
  4. R. Abbott et al. (LIGO Scientific and Virgo Collaborations), Tests of general relativity with binary black holes from the second LIGO-Virgo gravitational-wave transient catalog, Phys. Rev. D 103, 122002 (2021).
  5. R. Abbott et al. (LIGO Scientific, Virgo, and KAGRA Collaborations), Tests of general relativity with GWTC-3, Phys. Rev. D 112, 084080 (2025).
  6. M. Fierz, On the physical interpretation of P.Jordan’s extended theory of gravitation, Helv. Phys. Acta 29, 128 (1956).
  7. P. Jordan, The present state of Dirac’s cosmological hypothesis, Z. Phys. 157, 112 (1959).
  8. C. Brans and R. H. Dicke, Mach’s principle and a relativistic theory of gravitation, Phys. Rev. 124, 925 (1961).
  9. D. Langlois and K. Noui, Degenerate higher derivative theories beyond Horndeski: Evading the Ostrogradski instability, J. Cosmol. Astropart. Phys. 02 (2016) 034.
  10. M. Crisostomi, K. Koyama, and G. Tasinato, Extended scalar-tensor theories of gravity, J. Cosmol. Astropart. Phys. 04 (2016) 044.
  11. J. Ben Achour, M. Crisostomi, K. Koyama, D. Langlois, K. Noui, and G. Tasinato, Degenerate higher order scalar-tensor theories beyond Horndeski up to cubic order, J. High Energy Phys. 12 (2016) 100.
  12. T. Clifton, P. G. Ferreira, A. Padilla, and C. Skordis, Modified gravity and cosmology, Phys. Rep. 513, 1 (2012).
  13. A. Joyce, B. Jain, J. Khoury, and M. Trodden, Beyond the cosmological standard model, Phys. Rep. 568, 1 (2015).
  14. W. J. Wolf, C. García-García, T. Anton, and P. G. Ferreira, Assessing cosmological evidence for nonminimal coupling, Phys. Rev. Lett. 135, 081001 (2025).
  15. C. M. Will, The confrontation between general relativity and experiment, Living Rev. Relativity 17, 4 (2014).
  16. C. Armendariz-Picon, T. Damour, and V. F. Mukhanov, k—inflation, Phys. Lett. B 458, 209 (1999).
  17. T. Chiba, T. Okabe, and M. Yamaguchi, Kinetically driven quintessence, Phys. Rev. D 62, 023511 (2000).
  18. C. Armendariz-Picon, V. F. Mukhanov, and P. J. Steinhardt, A dynamical solution to the problem of a small cosmological constant and late time cosmic acceleration, Phys. Rev. Lett. 85, 4438 (2000),
  19. E. Babichev, C. Deffayet, and R. Ziour, k-Mouflage gravity, Int. J. Mod. Phys. D 18, 2147 (2009).
  20. A. Kuntz, Two-body potential of Vainshtein screened theories, Phys. Rev. D 100, 024024 (2019).
  21. L. ter Haar, M. Bezares, M. Crisostomi, E. Barausse, and C. Palenzuela, Dynamics of screening in modified gravity, Phys. Rev. Lett. 126, 091102 (2021).
  22. M. Bezares, L. ter Haar, M. Crisostomi, E. Barausse, and C. Palenzuela, Kinetic screening in nonlinear stellar oscillations and gravitational collapse, Phys. Rev. D 104, 044022 (2021).
  23. M. Shibata and D. Traykova, Properties of scalar wave emission in a scalar-tensor theory with kinetic screening, Phys. Rev. D 107, 044068 (2023).
  24. G. Lara, M. Bezares, M. Crisostomi, and E. Barausse, Robustness of kinetic screening against matter coupling, Phys. Rev. D 107, 044019 (2023).
  25. M. Bošković and E. Barausse, Two-body problem in theories with kinetic screening, Phys. Rev. D 108, 064033 (2023).
  26. T. Damour and J. H. Taylor, Strong field tests of relativistic gravity and binary pulsars, Phys. Rev. D 45, 1840 (1992).
  27. M. Kramer et al., Tests of general relativity from timing the double pulsar, Science 314, 97 (2006).
  28. P. C. C. Freire, N. Wex, G. Esposito-Farese, J. P. W. Verbiest, M. Bailes, B. A. Jacoby, M. Kramer, I. H. Stairs, J. Antoniadis, and G. H. Janssen, The relativistic pulsar-white dwarf binary PSR J1738+0333 II. The most stringent test of scalar-tensor gravity, Mon. Not. R. Astron. Soc. 423, 3328 (2012).
  29. B. P. Abbott et al. (LIGO Scientific, Virgo, Fermi-GBM, and INTEGRAL Collaborations), Gravitational waves and gamma-rays from a binary neutron star merger: GW170817 and GRB 170817A, Astrophys. J. Lett. 848, L13 (2017).
  30. B. P. Abbott et al. (LIGO Scientific and Virgo Collaborations), GW170817: Observation of gravitational waves from a binary neutron star inspiral, Phys. Rev. Lett. 119, 161101 (2017).
  31. P. Creminelli, M. Lewandowski, G. Tambalo, and F. Vernizzi, Gravitational wave decay into dark energy, J. Cosmol. Astropart. Phys. 12 (2018) 025.
  32. P. Creminelli, G. Tambalo, F. Vernizzi, and V. Yingcharoenrat, Resonant decay of gravitational waves into dark energy, J. Cosmol. Astropart. Phys. 10 (2019) 072.
  33. P. Creminelli, G. Tambalo, F. Vernizzi, and V. Yingcharoenrat, Dark-energy instabilities induced by gravitational waves, J. Cosmol. Astropart. Phys. 05 (2020) 002.
  34. E. Babichev, V. Mukhanov, and A. Vikman, k-essence, superluminal propagation, causality and emergent geometry, J. High Energy Phys. 02 (2008) 101.
  35. L. Bernard, L. Lehner, and R. Luna, Challenges to global solutions in Horndeski’s theory, Phys. Rev. D 100, 024011 (2019).
  36. M. Bezares, M. Crisostomi, C. Palenzuela, and E. Barausse, K-dynamics: Well-posed 1+1 evolutions in K-essence, J. Cosmol. Astropart. Phys. 03 (2021) 072.
  37. M. Bezares, R. Aguilera-Miret, L. ter Haar, M. Crisostomi, C. Palenzuela, and E. Barausse, No evidence of kinetic screening in simulations of merging binary neutron stars beyond general relativity, Phys. Rev. Lett. 128, 091103 (2022).
  38. G. Lara, M. Bezares, and E. Barausse, UV completions, fixing the equations, and nonlinearities in k-essence, Phys. Rev. D 105, 064058 (2022).
  39. J. Cayuso, N. Ortiz, and L. Lehner, Fixing extensions to general relativity in the nonlinear regime, Phys. Rev. D 96, 084043 (2017).
  40. G. Allwright and L. Lehner, Towards the nonlinear regime in extensions to GR: Assessing possible options, Classical Quantum Gravity 36, 084001 (2019).
  41. A. Adams, N. Arkani-Hamed, S. Dubovsky, A. Nicolis, and R. Rattazzi, Causality, analyticity and an IR obstruction to UV completion, J. High Energy Phys. 10 (2006) 014.
  42. R. Akhoury, D. Garfinkle, and R. Saotome, Gravitational collapse of k-essence, J. High Energy Phys. 04 (2011) 096.
  43. C. D. Leonard, J. Ziprick, G. Kunstatter, and R. B. Mann, Gravitational collapse of K-essence matter in Painlevé-Gullstrand coordinates, J. High Energy Phys. 10 (2011) 028.
  44. R. Gannouji and Y. R. Baez, Critical collapse in K-essence models, J. High Energy Phys. 07 (2020) 132.
  45. C. de Rham, A. Matas, and A. J. Tolley, Galileon radiation from binary systems, Phys. Rev. D 87, 064024 (2013).
  46. C. de Rham, A. J. Tolley, and D. H. Wesley, Vainshtein mechanism in binary pulsars, Phys. Rev. D 87, 044025 (2013).
  47. Y.-Z. Chu and M. Trodden, Retarded Green’s function of a vainshtein system and Galileon waves, Phys. Rev. D 87, 024011 (2013).
  48. M. Andrews, Y.-Z. Chu, and M. Trodden, Galileon forces in the solar system, Phys. Rev. D 88, 084028 (2013).
  49. 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).
  50. P. Brax, L. Heisenberg, and A. Kuntz, Unveiling the Galileon in a three-body system: Scalar and gravitational wave production, J. Cosmol. Astropart. Phys. 05 (2020) 012.
  51. C. de Rham, J. T. Giblin, Jr., and A. J. Tolley, Scalar radiation with a quartic Galileon, Phys. Rev. D 109, 104035 (2024).
  52. R. Cayuso, A. Kuntz, M. Bezares, and E. Barausse, Scalar emission from neutron star-black hole binaries in scalar-tensor theories with kinetic screening, Phys. Rev. D 110, 104071 (2024).
  53. L. Hui and A. Nicolis, No-hair theorem for the Galileon, Phys. Rev. Lett. 110, 241104 (2013).
  54. T. P. Sotiriou and S.-Y. Zhou, Black hole hair in generalized scalar-tensor gravity, Phys. Rev. Lett. 112, 251102 (2014).
  55. L. Capuano, L. Santoni, and E. Barausse, Black hole hairs in scalar-tensor gravity and the lack thereof, Phys. Rev. D 108, 064058 (2023).
  56. H. R. Rüter, D. Hilditch, M. Bugner, and B. Brügmann, Hyperbolic relaxation method for elliptic equations, Phys. Rev. D 98, 084044 (2018).
  57. T. Assumpção, L. R. Werneck, T. P. Jacques, and Z. B. Etienne, Fast hyperbolic relaxation elliptic solver for numerical relativity: Conformally flat, binary puncture initial data, Phys. Rev. D 105, 104037 (2022).
  58. M. Kramer et al., Strong-field gravity tests with the double pulsar, Phys. Rev. X 11, 041050 (2021).
  59. C. de Rham and R. H. Ribeiro, Riding on irrelevant operators, J. Cosmol. Astropart. Phys. 11 (2014) 016.
  60. P. Brax and P. Valageas, Quantum field theory of K-mouflage, Phys. Rev. D 94, 043529 (2016).
  61. C. M. Will and H. W. Zaglauer, Gravitational radiation, close binary systems, and the Brans-Dicke theory of gravity, Astrophys. J. 346, 366 (1989).
  62. T. Damour and G. Esposito-Farese, Tensor multiscalar theories of gravitation, Classical Quantum Gravity 9, 2093 (1992).
  63. K. Yagi, D. Blas, E. Barausse, and N. Yunes, Constraints on Einstein-Æther theory and Hořava gravity from binary pulsar observations, Phys. Rev. D 89, 084067 (2014); 90, 069901(E) (2014).
  64. C. M. Will, Testing general relativity with compact-body orbits: A modified Einstein-Infeld-Hoffmann framework, Classical Quantum Gravity 35, 085001 (2018).
  65. D. M. Eardley, Observable effects of a scalar gravitational field in a binary pulsar, Astrophys. J. Lett. 196, L59 (1975).
  66. A. Kuntz and E. Barausse, Angular momentum sensitivities in scalar-tensor theories, Phys. Rev. D 109, 124001 (2024).
  67. A. Arbona, A. Artigues, C. Bona-Casas, J. Masso, B. Minano, A. Rigo, M. Trias, and C. Bona, Simflowny: A general-purpose platform for the management of physical models and simulation problems, Comput. Phys. Commun. 184, 2321 (2013).
  68. A. Arbona, B. Minano, A. Rigo, C. Bona, C. Palenzuela, A. Artigues, C. Bona-Casas, and J. Masso, Simflowny 2: An upgraded platform for scientific modelling and simulation, Comput. Phys. Commun. 229, 170 (2018).
  69. C. Palenzuela, B. Minano, A. Arbona, C. Bona-Casas, C. Bona, and J. Masso, Simflowny 3: An upgraded platform for scientific modeling and simulation, Comput. Phys. Commun. 259, 107675 (2021).
  70. Simflowny project website, https://bitbucket.org/iac3/simflowny/wiki/Home (2021).
  71. R. D. Hornung and S. R. Kohn, Managing application complexity in the samrai object-oriented framework, Concurrency Computat., Pract. Exper. 14, 347 (2002).
  72. B. T. Gunney and R. W. Anderson, Advances in patch-based adaptive mesh refinement scalability, J. Parallel Distrib. Comput. 89, 65 (2016).
  73. SAMRAI project website, https://computing.llnl.gov/projects/samrai/software.
  74. E. Barausse, C. Palenzuela, M. Ponce, and L. Lehner, Neutron-star mergers in scalar-tensor theories of gravity, Phys. Rev. D 87, 081506 (2013).
  75. www.dirac.ac.uk

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