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  • Open Access

Non-Abelian black holes in conformal gravity

Daniel Flores-Alfonso*

  • *Contact author: danflores@unap.cl

Phys. Rev. D 111, 124014 – Published 10 June, 2025

DOI: https://doi.org/10.1103/4w6v-4qlv

Abstract

The first black hole solutions of the SU(N) Bach-Yang-Mills equations are presented. Static generalizations breaking spherical symmetry are also constructed. These constitute the first examples in the literature of C-metrics sourced by a Yang-Mills field.

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References (82)

  1. R. P. Kerr, Phys. Rev. Lett. 11, 237 (1963).
  2. M. Heusler, Black Hole Uniqueness Theorems (Cambridge University Press, Cambridge, England, 1996).
  3. B. P. Abbott et al. (LIGO Scientific and Virgo Collaborations), Phys. Rev. Lett. 116, 061102 (2016).
  4. K. Akiyama et al. (Event Horizon Telescope Collaboration), Astrophys. J. Lett. 875, L1 (2019).
  5. R. J. Riegert, Phys. Rev. Lett. 53, 315 (1984).
  6. H.-S. Liu and H. Lü, J. High Energy Phys. 02 (2013) 139.
  7. I. J. Araya, N. D. Padilla, M. E. Rubio, J. Sureda, J. Magaña, and L. Osorio, J. Cosmol. Astropart. Phys. 02 (2023) 030.
  8. B. Kleihaus, J. Kunz, and F. Navarro-Lerida, Classical Quantum Gravity 33, 234002 (2016).
  9. M. Heusler and N. Straumann, Classical Quantum Gravity 10, 1299 (1993).
  10. M. S. Volkov and D. V. Galtsov, Pis’ma Zh. Eksp. Teor. Fiz. 50, 312 (1989) [JETP Lett. 50, 346 (1989)].
  11. P. Bizon, Phys. Rev. Lett. 64, 2844 (1990).
  12. R. Jackiw and C. Rebbi, Phys. Rev. Lett. 36, 1116 (1976).
  13. P. Hasenfratz and G. ’t Hooft, Phys. Rev. Lett. 36, 1119 (1976).
  14. A. S. Goldhaber, Phys. Rev. Lett. 36, 1122 (1976).
  15. F. Canfora, A. Gomberoff, M. Lagos, and A. Vera, Phys. Rev. D 105, 084045 (2022).
  16. S. L. Adler, Rev. Mod. Phys. 54, 729 (1982); 55, 837(E) (1983).
  17. O. Mišković and R. Olea, Phys. Rev. D 79, 124020 (2009).
  18. J. Maldacena, arXiv:1105.5632.
  19. G. Anastasiou and R. Olea, Phys. Rev. D 94, 086008 (2016).
  20. Y. Brihaye and Y. Verbin, Phys. Rev. D 81, 044041 (2010).
  21. Z.-Y. Fan and H. Lü, J. High Energy Phys. 02 (2015) 013.
  22. V. de Alfaro, S. Fubini, and G. Furlan, Phys. Lett. 65B, 163 (1976).
  23. F. Canfora, F. Correa, A. Giacomini, and J. Oliva, Phys. Lett. B 722, 364 (2013).
  24. A. P. Balachandran, V. P. Nair, N. Panchapakesan, and S. G. Rajeev, Phys. Rev. D 28, 2830 (1983).
  25. A. P. Balachandran, A. Barducci, F. Lizzi, V. G. J. Rodgers, and A. Stern, Phys. Rev. Lett. 52, 887 (1984).
  26. E. Ayón-Beato, F. Canfora, M. Lagos, J. Oliva, and A. Vera, Eur. Phys. J. C 80, 384 (2020).
  27. J. Ehlers and W. Kundt, in Gravitation:An Introduction to Current Research, edited by L. Witten (Wiley, Dordrecht, the Netherlands, 1962), pp. 49–101.
  28. N. S. Manton, Nucl. Phys. B135, 319 (1978).
  29. C. Rebbi and P. Rossi, Phys. Rev. D 22, 2010 (1980).
  30. B. Kleihaus and J. Kunz, Phys. Rev. Lett. 79, 1595 (1997).
  31. B. Kleihaus and J. Kunz, Phys. Rev. D 57, 6138 (1998).
  32. B. Hartmann, B. Kleihaus, and J. Kunz, Phys. Rev. D 65, 024027 (2002).
  33. E. Radu and E. Winstanley, Phys. Rev. D 70, 084023 (2004).
  34. C. A. R. Herdeiro and E. Radu, Phys. Rev. Lett. 117, 221102 (2016).
  35. R. Gervalle and M. S. Volkov, Nucl. Phys. B987, 116112 (2023).
  36. H.-J. Schmidt, arXiv:gr-qc/9905103.
  37. M. Bañados, C. Teitelboim, and J. Zanelli, Phys. Rev. Lett. 69, 1849 (1992).
  38. M. Bañados, M. Henneaux, C. Teitelboim, and J. Zanelli, Phys. Rev. D 48, 1506 (1993); 88, 069902(E) (2013).
  39. E. Ayón-Beato, C. Martínez, and J. Zanelli, Phys. Rev. D 70, 044027 (2004).
  40. M. Briceño, C. Martínez, and J. Zanelli, Phys. Rev. D 110, 024075 (2024).
  41. C. Corral, G. Giribet, and R. Olea, Phys. Rev. D 104, 064026 (2021).
  42. T. T. Wu and C.-N. Yang, Phys. Rev. D 12, 3843 (1975).
  43. S. Deser and F. Wilczek, Phys. Lett. 65B, 391 (1976).
  44. F. Canfora and H. Maeda, Phys. Rev. D 87, 084049 (2013).
  45. E. Ayon-Beato, F. Canfora, and J. Zanelli, Phys. Lett. B 752, 201 (2016).
  46. D. Flores-Alfonso and B. O. Larios, Phys. Rev. D 102, 064017 (2020).
  47. P. D. Alvarez, S. L. Cacciatori, F. Canfora, and B. L. Cerchiai, Phys. Rev. D 101, 125011 (2020).
  48. S. L. Cacciatori, F. Canfora, M. Lagos, F. Muscolino, and A. Vera, J. High Energy Phys. 12 (2021) 150.
  49. S. L. Cacciatori, F. Canfora, M. Lagos, F. Muscolino, and A. Vera, Nucl. Phys. B976, 115693 (2022).
  50. C. Henríquez-Báez, M. Lagos, and A. Vera, Phys. Rev. D 106, 064027 (2022).
  51. C. Corral, D. Flores-Alfonso, G. Giribet, and J. Oliva, Eur. Phys. J. C 84, 959 (2024).
  52. R. M. Wald, Phys. Rev. D 48, R3427 (1993).
  53. V. Iyer and R. M. Wald, Phys. Rev. D 50, 846 (1994).
  54. S. Gao and R. M. Wald, Phys. Rev. D 64, 084020 (2001).
  55. S. Gao, Phys. Rev. D 68, 044016 (2003).
  56. T. T. Wu and C. N. Yang, Phys. Rev. D 12, 3845 (1975).
  57. K. Meng and L. Zhao, Ann. Phys. (Amsterdam) 377, 466 (2017).
  58. Y.-K. Lim, Phys. Rev. D 93, 084045 (2016).
  59. W. Kinnersley and M. Walker, Phys. Rev. D 2, 1359 (1970).
  60. W. Bonnor, Gen. Relativ. Gravit. 15, 535 (1983).
  61. K. Hong and E. Teo, Classical Quantum Gravity 20, 3269 (2003).
  62. J. B. Griffiths, P. Krtouš, and J. Podolský, Classical Quantum Gravity 23, 6745 (2006).
  63. B. L. Shepherd and E. Winstanley, Phys. Rev. D 93, 064064 (2016).
  64. B. L. Shepherd and E. Winstanley, J. High Energy Phys. 01 (2017) 065.
  65. A. A. Belavin, A. M. Polyakov, A. S. Schwartz, and Y. S. Tyupkin, Phys. Lett. 59B, 85 (1975).
  66. F. Wilczek, Phys. Lett. 65B, 160 (1976).
  67. K. M. Bitar and P. Sorba, Phys. Rev. D 16, 431 (1977).
  68. R. S. Ward, Commun. Math. Phys. 86, 437 (1982).
  69. J. T. Wheeler, Phys. Rev. D 90, 025027 (2014).
  70. J. T. Wheeler, Nucl. Phys. B943, 114624 (2019).
  71. P. D. Alvarez, C. Corral, and J. Zanelli, J. High Energy Phys. 01 (2023) 009.
  72. G. Anastasiou, I. J. Araya, M. Busnego-Barrientos, C. Corral, and N. Merino, Phys. Rev. D 107, 104049 (2023).
  73. E. Ayón-Beato and M. Hassaïne, Ann. Phys. (Amsterdam) 460, 169567 (2024).
  74. E. Ayón-Beato and M. Hassaïne, Ann. Phys. (Amsterdam) 458, 169446 (2023).
  75. G. Anastasiou, I. J. Araya, and A. Chakraborty, Eur. Phys. J. C 84, 373 (2024).
  76. G. Anastasiou, I. J. Araya, C. Corral, and R. Olea, J. High Energy Phys. 11 (2023) 036.
  77. L. Avilés, C. Corral, F. Izaurieta, O. Valdivia, and C. Vera, Phys. Rev. D 109, 084039 (2024).
  78. J. Barrientos, A. Cisterna, M. Hassaine, and K. Pallikaris, Phys. Lett. B 860, 139214 (2025).
  79. F. Canfora, S. H. Oh, and P. Salgado-Rebolledo, Phys. Rev. D 96, 084038 (2017).
  80. A. Giacomini and M. Ortaggio, J. High Energy Phys. 09 (2019) 090.
  81. F. Canfora, J. Oliva, and M. Oyarzo, J. High Energy Phys. 02 (2022) 057.
  82. F. Canfora and C. Corral, J. High Energy Phys. 11 (2023) 146.

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