Reuse & Permissions

It is not necessary to obtain permission to reuse this article or its components as it is available under the terms of the Creative Commons Attribution 4.0 International license. This license permits unrestricted use, distribution, and reproduction in any medium, provided attribution to the author(s) and the published article's title, journal citation, and DOI are maintained. Please note that some figures may have been included with permission from other third parties. It is your responsibility to obtain the proper permission from the rights holder directly for these figures.

Export citation

Export citation

Choose format for download:

Download Citation
  • Open Access

Constraints on interacting dark energy revisited: Implications for the Hubble tension

Gabriel A. Hoerning1,2,*,†, Ricardo G. Landim3,4,*,‡, Luiza O. Ponte2, Raphael P. Rolim2, Filipe B. Abdalla5,6, and Elcio Abdalla2,7,8

  • *These authors contributed equally to this work.
  • †Contact author: gabrielamancio.hoerning@postgrad.manchester.ac.uk
  • ‡Contact author: ricardo.landim@port.ac.uk

Phys. Rev. D 112, 023523 – Published 15 July, 2025

DOI: https://doi.org/10.1103/6zrh-8fmv

Abstract

We revisit a class of coupled dark energy models where dark energy interacts with dark matter via phenomenological energy exchange terms. We include the perturbation of the Hubble rate in the interaction term, which was absent in previous works. We also consider more recent datasets such as cosmic microwave background (CMB) anisotropies from Planck 2018, type I-a supernovae (SNIa) measurements from Pantheon+ and data from baryon acoustic oscillations (BAO), and redshift space distortions (RSD). One of the models presents a strong incompatibility when different cosmological datasets are used. We analyze the influence of the SH0ES Cepheid host distances on the results and, although for one model the discrepancy of H0 is reduced to 3.2σ when compared to the value obtained by the Planck collaboration and 3.6σ when compared to the SH0ES team, joint analysis is incompatible. Including BAO with RSD shows incompatibility with SH0ES for all models considered here. We perform a model comparison and, although there is a preference for interacting dark energy over ΛCDM for all of the models for joint analysis CMB+BAO+RSD+SNIa, most of the 2D contours do not overlap. We conclude that the models of interactions in the dark sector considered in this paper are not flexible enough to fit all the cosmological data including values of H0 from SH0ES in a statistically acceptable way. Therefore, the addition of one extra degree of freedom (i.e., the coupling between dark matter and dark matter) does not help enough to alleviate the already existing tension in the vanilla ΛCDM, suggesting that the models would need to be modified to include further flexibility of predictions to help elucidate this issue.

View figure in article

Physics Subject Headings (PhySH)

Article Text

References (47)

  1. S. Perlmutter et al. (Supernova Cosmology Project Collaboration), Astrophys. J. 517, 565 (1999); A. G. Riess et al. (Supernova Search Team Collaboration), Astron. J. 116, 1009 (1998).
  2. N. Aghanim et al. (Planck Collaboration), Astron. Astrophys. 641, A6 (2020).
  3. A. G. Riess et al., Astrophys. J. Lett. 934, L7 (2022).
  4. E. Di Valentino, O. Mena, S. Pan, L. Visinelli, W. Yang, A. Melchiorri, D. F. Mota, A. G. Riess, and J. Silk, Classical Quantum Gravity 38, 153001 (2021).
  5. M. G. Dainotti, B. De Simone, T. Schiavone, G. Montani, E. Rinaldi, and G. Lambiase, Astrophys. J. 912, 150 (2021); M. G. Dainotti, B. De Simone, T. Schiavone, G. Montani, E. Rinaldi, G. Lambiase, M. Bogdan, and S. Ugale, Galaxies 10, 24 (2022); A. L. Lenart, G. Bargiacchi, M. G. Dainotti, S. Nagataki, and S. Capozziello, Astrophys. J. Suppl. Ser. 264, 46 (2023); G. Bargiacchi, M. G. Dainotti, S. Nagataki, and S. Capozziello, Mon. Not. R. Astron. Soc. 521, 3909 (2023); M. G. Dainotti, G. Bargiacchi, M. Bogdan, S. Capozziello, and S. Nagataki, arXiv:2303.06974; G. Bargiacchi, M. G. Dainotti, and S. Capozziello, arXiv:2307.15359.
  6. P. J. E. Peebles and B. Ratra, Astrophys. J. 325, L17 (1988); B. Ratra and P. J. E. Peebles, Phys. Rev. D 37, 3406 (1988); J. A. Frieman, C. T. Hill, and R. Watkins, 46, 1226 (1992); J. A. Frieman, C. T. Hill, A. Stebbins, and I. Waga, Phys. Rev. Lett. 75, 2077 (1995); R. R. Caldwell, R. Dave, and P. J. Steinhardt, 80, 1582 (1998); T. Padmanabhan, Phys. Rev. D 66, 021301 (2002); J. S. Bagla, H. K. Jassal, and T. Padmanabhan, 67, 063504 (2003); C. Armendariz-Picon, V. F. Mukhanov, and P. J. Steinhardt, Phys. Rev. Lett. 85, 4438 (2000); P. Brax and J. Martin, Phys. Lett. B 468, 40 (1999); E. J. Copeland, N. J. Nunes, and F. Rosati, Phys. Rev. D 62, 123503 (2000); S. Vagnozzi, S. Dhawan, M. Gerbino, K. Freese, A. Goobar, and O. Mena, 98, 083501 (2018); T. Koivisto and D. F. Mota, J. Cosmol. Astropart. Phys. 08 (2008) 021; K. Bamba and S. D. Odintsov, 04 (2008) 024; V. Emelyanov and F. R. Klinkhamer, Phys. Rev. D 85, 103508 (2012); 85, 063522 (2012); Int. J. Mod. Phys. D 21, 1250025 (2012); S. Kouwn, P. Oh, and C.-G. Park, Phys. Rev. D 93, 083012 (2016); R. C. G. Landim, Eur. Phys. J. C 76, 430 (2016); 76, 480 (2016); A. Banerjee, H. Cai, L. Heisenberg, E. O. Colgáin, M. M. Sheikh-Jabbari, and T. Yang, Phys. Rev. D 103, L081305 (2021).
  7. M. Szydlowski, A. Stachowski, and K. Urbanowski, Eur. Phys. J. C 77, 902 (2017); A. Stachowski, M. Szydlowski, and K. Urbanowski, 77, 357 (2017); D. Stojkovic, G. D. Starkman, and R. Matsuo, Phys. Rev. D 77, 063006 (2008); E. Greenwood, E. Halstead, R. Poltis, and D. Stojkovic, 79, 103003 (2009); E. Abdalla, L. L. Graef, and B. Wang, Phys. Lett. B 726, 786 (2013); A. Shafieloo, D. K. Hazra, V. Sahni, and A. A. Starobinsky, Mon. Not. R. Astron. Soc. 473, 2760 (2018); R. G. Landim and E. Abdalla, Phys. Lett. B 764, 271 (2017); R. G. Landim, Mod. Phys. Lett. A 33, 1850087 (2018); R. G. Landim, R. J. F. Marcondes, F. F. Bernardi, and E. Abdalla, Braz. J. Phys. 48, 364 (2018).
  8. S. D. H. Hsu, Phys. Lett. B 594, 13 (2004); M. Li, 603, 1 (2004); D. Pavon and W. Zimdahl, 628, 206 (2005); B. Wang, Y.-G. Gong, and E. Abdalla, 624, 141 (2005); B. Wang, Y. Gong, and E. Abdalla, Phys. Rev. D 74, 083520 (2006); B. Wang, C.-Y. Lin, and E. Abdalla, Phys. Lett. B 637, 357 (2006); B. Wang, C.-Y. Lin, D. Pavon, and E. Abdalla, 662, 1 (2008); R. C. G. Landim, Int. J. Mod. Phys. D 25, 1650050 (2016); M. Li, X.-D. Li, S. Wang, and X. Zhang, J. Cosmol. Astropart. Phys. 06 (2009) 036; M. Li, X.-D. Li, S. Wang, Y. Wang, and X. Zhang, 12 (2009) 014; M. Li, X.-D. Li, S. Wang, and Y. Wang, Commun. Theor. Phys. 56, 525 (2011); E. N. Saridakis, Phys. Rev. D 97, 064035 (2018); A. Al Mamon, Int. J. Mod. Phys. D 26, 1750136 (2017); A. Mukherjee, J. Cosmol. Astropart. Phys. 11 (2016) 055; L. Feng and X. Zhang, 08 (2016) 072; R. Herrera, W. S. Hipolito-Ricaldi, and N. Videla, 08 (2016) 065; M. Forte, Eur. Phys. J. C 76, 707 (2016); R. G. Landim, Phys. Rev. D 106, 043527 (2022).
  9. G. Dvali, G. Gabadadze, and M. Porrati, Phys. Lett. B 485, 208 (2000).
  10. R. G. Landim, Phys. Rev. D 103, 083511 (2021); 104, 103508 (2021).
  11. S. A. Adil, O. u. Akarsu, M. Malekjani, E. O. Colgain, S. Pourojaghi, A. A. Sen, and M. M. Sheikh-Jabbari, Mon. Not. R. Astron. Soc. 528, L20 (2023); M. Malekjani, R. M. Conville, E. O. Colgáin, S. Pourojaghi, and M. M. Sheikh-Jabbari, arXiv:2301.12725; E. O. Colgain, M. M. Sheikh-Jabbari, R. Solomon, M. G. Dainotti, and D. Stojkovic, arXiv:2206.11447; M. R. Gangopadhyay, M. Sami, and M. K. Sharma, arXiv:2303.07301; M. R. Gangopadhyay, S. K. J. Pacif, M. Sami, and M. K. Sharma, Universe 9, 83 (2023).
  12. C. Wetterich, Astron. Astrophys. 301, 321 (1995), https://articles.adsabs.harvard.edu/pdf/1995A%26A...301..321W; L. Amendola, Phys. Rev. D 62, 043511 (2000); Z.-K. Guo and Y.-Z. Zhang, 71, 023501 (2005); R.-G. Cai and A. Wang, J. Cosmol. Astropart. Phys. 03 (2005) 002; Z.-K. Guo, R.-G. Cai, and Y.-Z. Zhang, 05 (2004) 002; X.-J. Bi, B. Feng, H. Li, and X. Zhang, Phys. Rev. D 72, 123523 (2005); B. Gumjudpai, T. Naskar, M. Sami, and S. Tsujikawa, J. Cosmol. Astropart. Phys. 06 (2005) 007; S. Yin, B. Wang, E. Abdalla, and C.-Y. Lin, Phys. Rev. D 76, 124026 (2007); E. G. M. Ferreira, J. Quintin, A. A. Costa, E. Abdalla, and B. Wang, 95, 043520 (2017); A. A. Costa, L. C. Olivari, and E. Abdalla, 92, 103501 (2015); R. C. G. Landim, Int. J. Mod. Phys. D 24, 1550085 (2015); Eur. Phys. J. C 76, 31 (2016); R. J. F. Marcondes, R. C. G. Landim, A. A. Costa, B. Wang, and E. Abdalla, J. Cosmol. Astropart. Phys. 12 (2016) 009; F. F. Bernardi and R. G. Landim, Eur. Phys. J. C 77, 290 (2017).
  13. B. Wang, E. Abdalla, F. Atrio-Barandela, and D. Pavon, Rep. Prog. Phys. 79, 096901 (2016).
  14. G. R. Farrar and P. J. E. Peebles, Astrophys. J. 604, 1 (2004); S. Micheletti, E. Abdalla, and B. Wang, Phys. Rev. D 79, 123506 (2009); W. Yang, N. Banerjee, and S. Pan, 95, 123527 (2017); R. F. vom Marttens, L. Casarini, W. S. Hipólito-Ricaldi, and W. Zimdahl, J. Cosmol. Astropart. Phys. 01 (2016) 050; W. Yang, S. Pan, and J. D. Barrow, Phys. Rev. D 97, 043529 (2018); A. A. Costa, R. C. Landim, B. Wang, and E. Abdalla, Eur. Phys. J. C 78, 746 (2018); W. Yang, S. Pan, E. Di Valentino, R. C. Nunes, S. Vagnozzi, and D. F. Mota, J. Cosmol. Astropart. Phys. 09 (2018) 019; R. G. Landim, Eur. Phys. J. C 79, 889 (2019); S. Vagnozzi, L. Visinelli, O. Mena, and D. F. Mota, Mon. Not. R. Astron. Soc. 493, 1139 (2020); J. P. Johnson, A. Sangwan, and S. Shankaranarayanan, J. Cosmol. Astropart. Phys. 01 (2022) 024; J. P. Johnson and S. Shankaranarayanan, Phys. Rev. D 103, 023510 (2021).
  15. A. A. Costa, X.-D. Xu, B. Wang, E. G. M. Ferreira, and E. Abdalla, Phys. Rev. D 89, 103531 (2014).
  16. A. A. Costa, X.-D. Xu, B. Wang, and E. Abdalla, J. Cosmol. Astropart. Phys. 01 (2016) 028.
  17. G. Olivares, F. Atrio-Barandela, and D. Pavon, Phys. Rev. D 71, 063523 (2005).
  18. E. Di Valentino, A. Melchiorri, O. Mena, and S. Vagnozzi, Phys. Dark Universe 30, 100666 (2020); Phys. Rev. D 101, 063502 (2020).
  19. M. Lucca and D. C. Hooper, Phys. Rev. D 102, 123502 (2020).
  20. M. Cicoli, J. P. Conlon, A. Maharana, S. Parameswaran, F. Quevedo, and I. Zavala, arXiv:2303.04819.
  21. E. Abdalla and A. Marins, Int. J. Mod. Phys. D 29, 2030014 (2020).
  22. A. A. Costa et al., Mon. Not. R. Astron. Soc. 488, 78 (2019); R. R. A. Bachega, A. A. Costa, E. Abdalla, and K. S. F. Fornazier, J. Cosmol. Astropart. Phys. 05 (2019) 021; A. A. Costa et al., Astron. Astrophys. 664, A20 (2022); L. Xiao, A. A. Costa, and B. Wang, Mon. Not. R. Astron. Soc. 510, 1495 (2021).
  23. J. Valiviita, E. Majerotto, and R. Maartens, J. Cosmol. Astropart. Phys. 07 (2008) 020.
  24. M. B. Gavela, L. Lopez Honorez, O. Mena, and S. Rigolin, J. Cosmol. Astropart. Phys. 11 (2010) 044.
  25. N. Aghanim et al. (Planck Collaboration), Astron. Astrophys. 641, A1 (2020).
  26. D. Scolnic et al., Astrophys. J. 938, 113 (2022).
  27. J.-H. He, B. Wang, and E. Abdalla, Phys. Lett. B 671, 139 (2009).
  28. C.-P. Ma and E. Bertschinger, Astrophys. J. 455, 7 (1995).
  29. A. A. d. Costa, Observational constraints on models with an interaction between dark energy and dark matter, Ph.D. thesis, Universidade de São Paulo, 2014.
  30. M. B. Gavela, D. Hernandez, L. Lopez Honorez, O. Mena, and S. Rigolin, J. Cosmol. Astropart. Phys. 07 (2009) 034; 05 (2010) E01.
  31. N. Aghanim et al. (Planck Collaboration), Astron. Astrophys. 641, A5 (2020).
  32. N. Aghanim et al. (Planck Collaboration), Astron. Astrophys. 641, A8 (2020).
  33. F. Beutler, C. Blake, M. Colless, D. H. Jones, L. Staveley-Smith, L. Campbell, Q. Parker, W. Saunders, and F. Watson, Mon. Not. R. Astron. Soc. 416, 3017 (2011).
  34. A. J. Ross, L. Samushia, C. Howlett, W. J. Percival, A. Burden, and M. Manera, Mon. Not. R. Astron. Soc. 449, 835 (2015).
  35. S. Alam et al. (BOSS Collaboration), Mon. Not. R. Astron. Soc. 470, 2617 (2017).
  36. T. Abbott, F. Abdalla, A. Alarcon, S. Allam, F. Andrade-Oliveira, J. Annis, S. Avila, M. Banerji, N. Banik, K. Bechtol et al., Mon. Not. R. Astron. Soc. 483, 4866 (2019).
  37. S. Alam, M. Aubert, S. Avila, C. Balland, J. E. Bautista, M. A. Bershady, D. Bizyaev, M. R. Blanton, A. S. Bolton, J. Bovy et al., Phys. Rev. D 103, 083533 (2021).
  38. C. Blake, E. A. Kazin, F. Beutler, T. M. Davis, D. Parkinson, S. Brough, M. Colless, C. Contreras, W. Couch, S. Croom et al., Mon. Not. R. Astron. Soc. 418, 1707 (2011).
  39. F. Beutler, C. Blake, M. Colless, D. H. Jones, L. Staveley-Smith, G. B. Poole, L. Campbell, Q. Parker, W. Saunders, and F. Watson, Mon. Not. R. Astron. Soc. 423, 3430 (2012).
  40. T. Okumura, C. Hikage, T. Totani, M. Tonegawa, H. Okada, K. Glazebrook, C. Blake, P. G. Ferreira, S. More, A. Taruya et al., Publ. Astron. Soc. Jpn. 68, 38 (2016).
  41. C. Blake, I. K. Baldry, J. Bland-Hawthorn, L. Christodoulou, M. Colless, C. Conselice, S. P. Driver, A. M. Hopkins, J. Liske, J. Loveday et al., Mon. Not. R. Astron. Soc. 436, 3089 (2013).
  42. C. Blake, S. Brough, M. Colless, C. Contreras, W. Couch, S. Croom, D. Croton, T. M. Davis, M. J. Drinkwater, K. Forster et al., Mon. Not. R. Astron. Soc. 425, 405 (2012).
  43. D. Blas, J. Lesgourgues, and T. Tram, J. Cosmol. Astropart. Phys. 07 (2011) 034.
  44. R. P. Rollins, Chemical and statistical models of the interstellar medium and star-forming regions, Ph.D. thesis, UCL (University College London), 2015.
  45. J. Skilling, AIP Conf. Proc. 735, 395 (2004).
  46. A. G. Riess, S. Casertano, W. Yuan, L. M. Macri, and D. Scolnic, Astrophys. J. 876, 85 (2019).
  47. E. Di Valentino et al., Astropart. Phys. 131, 102604 (2021).

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation