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Cosmic strings in the complex symmetron model

Ali Nezhadsafavi* and Levon Pogosian†

  • *Contact author: ali_nezhadsafavi@sfu.ca
  • †Contact author: levon_pogosian@sfu.ca

Phys. Rev. D 112, 043528 – Published 25 August, 2025

DOI: https://doi.org/10.1103/y3w1-m773

Abstract

We study cosmic strings in the complex symmetron model, a scalar-tensor theory with a spontaneously broken local U(1) symmetry in low matter density regions. Using numerical simulations, we show that these strings preferentially attach to matter halos, leading to the stabilization of string loops. While the requirement for screening of fifth-force interactions in the solar-system limits observable signatures in theories with universal coupling to matter, analogous topological defects in the dark sector may still influence cosmic structure formation, offering a novel avenue to constrain dark-sector interactions.

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References (34)

  1. A. Vilenkin and E. P. S. Shellard, Cosmic Strings and Other Topological Defects (Cambridge University Press, Cambridge, England, 2000).
  2. S. Perlmutter and A. Riess, Cosmological parameters from supernovae: Two groups’ results agree, AIP Conf. Proc. 478, 129 (1999).
  3. A. G. Riess, P. Nugent, A. V. Filippenko, R. P. Kirshner, and S. Perlmutter, Snapshot distances to type Ia Supernovae: All in ‘one’ night’s work, Astrophys. J. 504, 935 (1998).
  4. J. Khoury and A. Weltman, Chameleon fields: Awaiting surprises for tests of gravity in space, Phys. Rev. Lett. 93, 171104 (2004).
  5. K. Hinterbichler and J. Khoury, Symmetron fields: Screening long-range forces through local symmetry restoration, Phys. Rev. Lett. 104, 231301 (2010).
  6. A. I. Vainshtein, To the problem of nonvanishing gravitation mass, Phys. Lett. B 39, 393 (1972).
  7. E. Babichev, C. Deffayet, and R. Ziour, k-Mouflage gravity, Int. J. Mod. Phys. D 18, 2147 (2009).
  8. A. Joyce, B. Jain, J. Khoury, and M. Trodden, Beyond the cosmological standard model, Phys. Rep. 568, 1 (2015).
  9. S. Weinberg, The cosmological constant problem, Rev. Mod. Phys. 61, 1 (1989).
  10. T. Padmanabhan, Cosmological constant: The weight of the vacuum, Phys. Rep. 380, 235 (2003).
  11. P. Brax, A.-C. Davis, B. Li, H. A. Winther, and G.-B. Zhao, Systematic simulations of modified gravity: Symmetron and dilaton models, J. Cosmol. Astropart. Phys. 10 (2012) 002.
  12. A. Hojjati, A. Plahn, A. Zucca, L. Pogosian, P. Brax, A.-C. Davis, and G.-B. Zhao, Searching for scalar gravitational interactions in current and future cosmological data, Phys. Rev. D 93, 043531 (2016).
  13. H. Fischer, C. Käding, and M. Pitschmann, Screened scalar fields in the laboratory and the solar system, Universe 10, 297 (2024).
  14. C. Llinares and D. Mota, Releasing scalar fields: Cosmological simulations of scalar-tensor theories for gravity beyond the static approximation, Phys. Rev. Lett. 110, 161101 (2013).
  15. C. Llinares and D. F. Mota, Cosmological simulations of screened modified gravity out of the static approximation: Effects on matter distribution, Phys. Rev. D 89, 084023 (2014).
  16. C. Llinares and L. Pogosian, Domain walls coupled to matter: The symmetron example, Phys. Rev. D 90, 124041 (2014).
  17. J. A. Pearson, Simulating the symmetron: Domain walls and symmetry-restoring impurities, Phys. Rev. D 90, 125011 (2014); 91, 049901(A) (2015).
  18. K. Clements, B. Elder, L. Hackermueller, M. Fromhold, and C. Burrage, Detecting dark domain walls, Phys. Rev. D 109, 123023 (2024).
  19. C. Burrage, E. J. Copeland, C. Käding, and P. Millington, Symmetron scalar fields: Modified gravity, dark matter, or both?, Phys. Rev. D 99, 043539 (2019).
  20. C. Käding, Lensing with generalized symmetrons, Astronomy 2, 128 (2023).
  21. H. B. Nielsen and P. Olesen, Vortex line models for dual strings, Nucl. Phys. B 61, 45 (1973).
  22. E. B. Bogomolny, Stability of classical solutions, Sov. J. Nucl. Phys. 24, 449 (1976).
  23. M. K. Prasad and C. M. Sommerfield, An exact classical solution for the ’t Hooft monopole and the Julia-Zee Dyon, Phys. Rev. Lett. 35, 760 (1975).
  24. S. A. Teukolsky, On the stability of the iterated Crank-Nicholson method in numerical relativity, Phys. Rev. D 61, 087501 (2000).
  25. D. Matsunami, L. Pogosian, A. Saurabh, and T. Vachaspati, Decay of cosmic string loops due to particle radiation, Phys. Rev. Lett. 122, 201301 (2019).
  26. T. Helfer, J. C. Aurrekoetxea, and E. A. Lim, Cosmic string loop collapse in full general relativity, Phys. Rev. D 99, 104028 (2019).
  27. J.-P. De Villiers and V. P. Frolov, Gravitational scattering of cosmic strings by nonrotating black holes, Classical Quantum Gravity 16, 2403 (1999).
  28. M. Snajdr and V. P. Frolov, Capture and critical scattering of a long cosmic string by a rotating black hole, Classical Quantum Gravity 20, 1303 (2003).
  29. F. Dubath, M. Sakellariadou, and C. M. Viallet, Scattering of cosmic strings by black holes: Loop formation, Int. J. Mod. Phys. D 16, 1311 (2007).
  30. H. Deng, A. Gruzinov, Y. Levin, and A. Vilenkin, Simulating cosmic string loop captured by a rotating black hole, Phys. Rev. D 107, 123016 (2023).
  31. P. Bambhaniya, O. Trivedi, I. Dymnikova, P. S. Joshi, and M. Khlopov, On the interactions of black holes and cosmic strings, Phys. Dark Universe 46, 101553 (2024).
  32. V. Gasilov, V. Maslyankin, and M. Khlopov, Gas-dynamic effects of cosmic strings, Astrophysics 23, 485 (1985).
  33. V. Jeudy, R. Díaz Pardo, W. Savero Torres, S. Bustingorry, and A. B. Kolton, Pinning of domain walls in thin ferromagnetic films, Phys. Rev. B 98, 054406 (2018).
  34. C. Chen, Y. Liu, Y. Chen, Y. N. Hu, T. Z. Zhang, D. Li, X. Wang, C. X. Wang, Z. Y. W. Lu, Y. H. Zhang, Q. L. Zhang, X. L. Dong, R. Wang, D. L. Feng, and T. Zhang, Revealing the microscopic mechanism of elementary vortex pinning in superconductors, Phys. Rev. X 14, 041039 (2024).

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