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

Photon rings and shadows of Kerr black holes immersed in a swirling universe

Rogério Capobianco*

Betti Hartmann† and Nikhita Vas‡

Jutta Kunz§

João Novo∥

  • *Contact author: rogerio.capobianco@gmail.com
  • †Contact author: b.hartmann@ucl.ac.uk
  • ‡Contact author: nikhita.vas.18@ucl.ac.uk
  • §Contact author: jutta.kunz@uni-oldenburg.de
  • ∥Contact author: j.novo@ua.pt

Phys. Rev. D 113, 064053 – Published 25 March, 2026

DOI: https://doi.org/10.1103/wj2m-s3sv

Abstract

We discuss photon rings around as well as shadows of Kerr black holes immersed in a swirling spacetime (KBHSU). We find that the spin-spin interaction between the angular momentum of the black hole and the swirling of the background leads to new interesting effects as it breaks the symmetry between the upper and lower hemispheres. We find that a pair of light rings exists for all values of the parameter space. Using a topological argument, we prove that there should be, indeed, two light rings and that, additionally, these light rings are unstable. In comparison to the Schwarzschild black hole immersed in a swirling universe, the light rings typically all possess different radii. Interestingly, as the value of the swirling parameter is increased at fixed angular momentum of the black hole, the two disconnected patches of the ergoregions eventually merge. The light ring at this merger possesses no angular velocity (as measured by an observer at infinity) and is called a light point. To our knowledge, this is the first time the existence of such a light point in a black hole spacetime is reported. Finally, we also present the shadows of KBHSU for various parameter values and observe that, due to the presence of the swirling background, the shadows are twisted.

View figure in article

Physics Subject Headings (PhySH)

Article Text

References (33)

  1. K. Gödel, An example of a new type of cosmological solutions of Einstein’s field equations of gravitation, Rev. Mod. Phys. 21, 447 (1949).
  2. A. H. Taub, Empty spacetimes admitting a three parameter group of motions, Ann. Math. 53, 472 (1951).
  3. E. Newman, L. Tamburino, and T. Unti, Empty space generalization of the Schwarzschild metric, J. Math. Phys. (N.Y.) 4, 915 (1963).
  4. M. Astorino, R. Martelli, and A. Viganò, Black holes in a swirling universe, Phys. Rev. D 106, 064014 (2022).
  5. B. K. Harrison, New solutions of the Einstein-Maxwell equations from old, J. Math. Phys. (N.Y.) 9, 1744 (1968).
  6. G. W. Gibbons, A. H. Mujtaba, and C. N. Pope, Ergoregions in magnetised black hole spacetimes, Classical Quantum Gravity 30, 125008 (2013).
  7. R. Capobianco, B. Hartmann, and J. Kunz, Geodesic motion in a swirling universe: The complete set of solutions, Phys. Rev. D 109, 064042 (2024).
  8. K. Gjorgjieski and R. Capobianco, Accretion structures around Kerr black holes in a swirling background, Eur. Phys. J. C 85, 597 (2025).
  9. A. Di Pinto, Charged and rotating black holes in a Melvin-swirling universe, arXiv:2407.11270.
  10. J. Barrientos, A. Cisterna, I. Kolář, K. Müller, M. Oyarzo, and K. Pallikaris, Mixing “magnetic” and “electric” Ehlers–Harrison transformations: The electromagnetic swirling spacetime and novel type I backgrounds, Eur. Phys. J. C 84, 724 (2024).
  11. M. Astorino, Removal of conical singularities from rotating C-metrics and dual CFT entropy, J. High Energy Phys. 10 (2022) 074.
  12. A. Di Pinto, S. Klemm, and A. Viganò, Kerr-Newman black hole in a Melvin-swirling universe, J. High Energy Phys. 06 (2025) 150.
  13. J. Barrientos, A. Cisterna, M. Hassaine, K. Müller, and K. Pallikaris, A new exact rotating spacetime in vacuum: The Kerr–Levi-Civita spacetime, Phys. Lett. B 871, 140035 (2025).
  14. V. Cardoso, A. S. Miranda, E. Berti, H. Witek, and V. T. Zanchin, Geodesic stability, Lyapunov exponents and quasinormal modes, Phys. Rev. D 79, 064016 (2009).
  15. P. V. P. Cunha and C. A. R. Herdeiro, Stationary black holes and light rings, Phys. Rev. Lett. 124, 181101 (2020).
  16. B. R. Iyer, C. V. Vishveshwara, and S. V. Dhurandhar, Ultracompact (R<3M) objects in general relativity, Classical Quantum Gravity 2, 219 (1985).
  17. P. Cunha, V. P., E. Berti, and C. A. R. Herdeiro, Light-ring stability for ultracompact objects, Phys. Rev. Lett. 119, 251102 (2017).
  18. V. Cardoso and P. Pani, Testing the nature of dark compact objects: A status report, Living Rev. Relativity 22, 4 (2019).
  19. Z. S. Moreira, C. A. R. Herdeiro, and L. C. B. Crispino, Twisting shadows: Light rings, lensing, and shadows of black holes in swirling universes, Phys. Rev. D 109, 104020 (2024).
  20. J. M. Bardeen, W. H. Press, and S. A. Teukolsky, Rotating black holes: Locally nonrotating frames, energy extraction, and scalar synchrotron radiation, Astrophys. J. 178, 347 (1972).
  21. C. M. Claudel, K. S. Virbhadra, and G. F. R. Ellis, The geometry of photon surfaces, J. Math. Phys. (N.Y.) 42, 818 (2001).
  22. E. Teo, Spherical photon orbits around a Kerr black hole, Gen. Relativ. Gravit. 35, 1909 (2003).
  23. K. Hioki and K. i. Maeda, Measurement of the Kerr spin parameter by observation of a compact object’s shadow, Phys. Rev. D 80, 024042 (2009).
  24. K. Akiyama et al. (Event Horizon Telescope Collaboration), First M87 Event Horizon Telescope results. I. The shadow of the supermassive black hole, Astrophys. J. Lett. 875, L1 (2019).
  25. K. Akiyama et al. (Event Horizon Telescope Collaboration), First Sagittarius A* Event Horizon Telescope results. I. The shadow of the supermassive black hole in the center of the Milky Way, Astrophys. J. Lett. 930, L12 (2022).
  26. P. V. P. Cunha, J. Grover, C. Herdeiro, E. Radu, H. Runarsson, and A. Wittig, Chaotic lensing around boson stars and Kerr black holes with scalar hair, Phys. Rev. D 94, 104023 (2016).
  27. P. Grandclément, Light rings and light points of boson stars, Phys. Rev. D 95, 084011 (2017).
  28. P. V. P. Cunha, C. A. R. Herdeiro, and J. P. A. Novo, Light rings on stationary axisymmetric spacetimes: Blind to the topology and able to coexist, Phys. Rev. D 109, 064050 (2024).
  29. H. C. D. L. Junior, J. Z. Yang, L. C. B. Crispino, P. V. P. Cunha, and C. A. R. Herdeiro, Einstein-Maxwell-dilaton neutral black holes in strong magnetic fields: Topological charge, shadows, and lensing, Phys. Rev. D 105, 064070 (2022).
  30. H. C. D. L. Junior, P. V. P. Cunha, C. A. R. Herdeiro, and L. C. B. Crispino, Shadows and lensing of black holes immersed in strong magnetic fields, Phys. Rev. D 104, 044018 (2021).
  31. A. Bohn, W. Throwe, F. Hébert, K. Henriksson, D. Bunandar, M. A. Scheel, and N. W. Taylor, What does a binary black hole merger look like?, Classical Quantum Gravity 32, 065002 (2015).
  32. B. E. Szigeti, I. Szapudi, I. F. Barna, and G. G. Barnaföldi, Can rotation solve the Hubble puzzle?, Mon. Not. R. Astron. Soc. 538, 3038 (2025).
  33. D. Cao, L. Zhang, S. Chen, Q. Pan, and J. Jing, Chaotic motion of particles in the spacetime of a Kerr black hole immersed in swirling universes, Eur. Phys. J. C 85, 28 (2025).

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation