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Vaidya-type solutions of quasitopological gravity interacting with nonlinear electrodynamics

Valeri P. Frolov1,*, Chul-Moon Yoo2,3,†, and Andrei Zelnikov1,‡

  • *Contact author: vfrolov@ualberta.ca
  • †Contact author: yoo.chulmoon.k6@f.mail.nagoya-u.ac.jp
  • ‡Contact author: zelnikov@ualberta.ca
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Phys. Rev. D 114, 084081 – Published 26 October, 2026

DOI: https://doi.org/10.1103/g863-rhhs

Abstract

We construct Vaidya-type solutions of quasitopological gravity coupled to nonlinear electrodynamics in arbitrary spacetime dimensions. Starting from the corresponding static spherically symmetric charged solutions, we obtain their dynamical counterparts by promoting the integration constants, in particular the mass and electric charge, to arbitrary functions of the advanced or retarded null coordinate. We show that the resulting field equations are satisfied provided suitable charge-carrying null currents and null fluid fluxes are included. The formalism applies to a broad class of nonlinear electromagnetic theories and provides a simple and systematic method for generating exact radiating charged solutions in quasitopological gravity.

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References (53)

  1. J. Pinedo Soto and V. P. Frolov, Charged black holes in quasitopological gravity coupled to Born-Infeld nonlinear electrodynamics, Phys. Rev. D 113, 124044 (2026).
  2. R. A. Hennigar, D. Kubizňák, S. Murk, and I. Soranidis, Thermodynamics of regular black holes in anti-de Sitter space, J. High Energy Phys. 11 (2025) 121.
  3. P. Bueno, P. A. Cano, and R. A. Hennigar, (Generalized) quasi-topological gravities at all orders, Classical Quantum Gravity 37, 015002 (2019).
  4. P. Bueno, P. A. Cano, J. Moreno, and A. Murcia, All higher-curvature gravities as generalized quasi-topological gravities, J. High Energy Phys. 11 (2019) 062.
  5. P. Bueno, P. A. Cano, R. A. Hennigar, M. Lu, and J. Moreno, Generalized quasi-topological gravities: The whole shebang, Classical Quantum Gravity 40, 015004 (2023).
  6. J. Oliva and S. Ray, A new cubic theory of gravity in five dimensions: Black hole, Birkhoff’s theorem and C-function, Classical Quantum Gravity 27, 225002 (2010).
  7. R. A. Hennigar, D. Kubiznak, and R. B. Mann, Generalized quasitopological gravity, Phys. Rev. D 95, 104042 (2017).
  8. R. C. Myers and B. Robinson, Black holes in quasi-topological gravity, J. High Energy Phys. 08 (2010) 067.
  9. J. Moreno and A. J. Murcia, Classification of generalized quasitopological gravities, Phys. Rev. D 108, 044016 (2023).
  10. P. Bueno, P. A. Cano, and R. A. Hennigar, Regular black holes from pure gravity, Phys. Lett. B 861, 139260 (2025).
  11. V. P. Frolov, A. Koek, J. P. Soto, and A. Zelnikov, Regular black holes inspired by quasitopological gravity, Phys. Rev. D 111, 044034 (2025).
  12. J. A. Pinedo Soto, Modified gravity and regular black hole models, Ph.D. thesis, University of Alberta, 2025, arXiv:2511.12902.
  13. P. Bueno, R. A. Hennigar, Ángel J. Murcia, and A. Vicente-Cano, Buchdahl limits in theories with regular black holes, Phys. Rev. D 113, 084008 (2026).
  14. P. Bueno, P. A. Cano, R. A. Hennigar, and Á. J. Murcia, Regular black hole formation in four-dimensional nonpolynomial gravities, Phys. Rev. D 113, 024019 (2026).
  15. V. P. Frolov, Quasitopological gravity and double-copy formalism, Phys. Rev. D 113, 064023 (2026).
  16. P. Bueno, R. A. Hennigar, Ángel J. Murcia, and A. Vicente-Cano, Regular geometries from singular matter in quasi-topological gravity, Phys. Rev. D 114, 024070 (2026).
  17. K. Sueto, R. Yoshimoto, and P. A. Cano, Cosmic inflation from regular black holes, arXiv:2604.04601.
  18. J. Borissova, All 2D generalized dilaton theories from d≥4 gravities, Phys. Rev. D 113, 124088 (2026).
  19. J. Borissova and R. Carballo-Rubio, Regular black holes from pure gravity in four dimensions, Phys. Rev. D 113, 124004 (2026).
  20. J. Borissova, gttgrr=−1 black hole thermodynamics in extended quasi-topological gravity, arXiv:2604.24101.
  21. P. Bueno, R. A. Hennigar, and Á. J. Murcia, Birkhoff implies quasi-topological, Classical Quantum Gravity 43, 095020 (2026).
  22. J. M. Bardeen, Non-singular general-relativistic gravitational collapse, in Proceedings of the 5th International Conference on Gravitation and the Theory of Relativity (GR5) (House of Tbilisi University, Tbilisi, 1968), Vol. 174.
  23. V. P. Frolov and G. A. Vilkovisky, Spherically symmetric collapse in quantum gravity, Phys. Lett. B 106, 307 (1981).
  24. I. Dymnikova, Vacuum nonsingular black hole, Gen. Relativ. Gravit. 24, 235 (1992).
  25. S. A. Hayward, Formation and evaporation of nonsingular black holes, Phys. Rev. Lett. 96, 031103 (2006).
  26. V. P. Frolov, Notes on nonsingular models of black holes, Phys. Rev. D 94, 104056 (2016).
  27. C. Lan, H. Yang, Y. Guo, and Y.-G. Miao, Regular black holes: A short topic review, Int. J. Theor. Phys. 62, 202 (2023).
  28. Regular Black Holes: Towards a New Paradigm of Gravitational Collapse, edited by C. Bambi, Springer Series in Astrophysics and Cosmology (Springer, Singapore, 2023).
  29. R. Carballo-Rubio, F. D. Filippo, S. Liberati, M. Visser, J. Arrechea, C. Barceló, A. Bonanno, J. Borissova, V. Boyanov, V. Cardoso, F. D. Porro, A. Eichhorn, D. Jampolski, P. Martín-Moruno, J. Mazza, T. McMaken, A. Panassiti, P. Pani, A. Platania, L. Rezzolla, and V. Vellucci, Towards a non-singular paradigm of black hole physics, J. Cosmol. Astropart. Phys. 05 (2025) 003.
  30. V. P. Frolov, M. A. Markov, and V. F. Mukhanov, Through a black hole into a new universe?, Phys. Lett. B 216, 272 (1989).
  31. V. P. Frolov, M. A. Markov, and V. F. Mukhanov, Black holes as possible sources of closed and semiclosed worlds, Phys. Rev. D 41, 383 (1990).
  32. C. Barrabes and V. P. Frolov, How many new worlds are inside a black hole?, Phys. Rev. D 53, 3215 (1996).
  33. I. G. Dymnikova, A. Dobosz, M. L. Fil’chenkov, and A. A. Gromov, Universes inside a Λ black hole, Phys. Lett. B 506, 351 (2001).
  34. C.-H. Hao, J. Jing, and J. Wang, Charged regular black holes from quasi-topological gravities in d≥5, arXiv:2512.04604.
  35. R. Carballo-Rubio, C. Coviello, and V. Vellucci, Charging up regular black holes, arXiv:2607.07831.
  36. A. Colléaux, S. Chinaglia, and S. Zerbini, Nonpolynomial Lagrangian approach to regular black holes, Int. J. Mod. Phys. D 27, 1830002 (2018).
  37. J. P. S. Lemos and P. M. Sá, Black holes of a general two-dimensional dilaton gravity theory, Phys. Rev. D 49, 2897 (1994).
  38. J. Barenboim, A. V. Frolov, and G. Kunstatter, Evaporation of regular black holes in 2d dilaton gravity, Phys. Rev. D 111, 104068 (2025).
  39. J. Barenboim, A. V. Frolov, and G. Kunstatter, No drama in two-dimensional black hole evaporation, Phys. Rev. Res. 6, L032055 (2024).
  40. P. Bueno, P. A. Cano, R. A. Hennigar, and Ángel J. Murcia, Regular black hole formation in four-dimensional non-polynomial gravities, arXiv:2509.19016.
  41. V. P. Frolov and A. Zelnikov, Regular black holes in quasitopological gravity: Null shells and mass inflation, Phys. Rev. D 113, 084007 (2026).
  42. F. Di Filippo, D. Kubiznak, and A. Srinivasan, Mass inflation and thin shells in quasi-topological gravity, Phys. Rev. D 114, 044061 (2026).
  43. F. Di Filippo, I. Kolář, and D. Kubiznak, Inner-extremal regular black holes from pure gravity, Phys. Rev. D 111, L041505 (2025).
  44. C. W. Misner, K. S. Thorne, and J. A. Wheeler, Gravitation (W. H. Freeman, San Francisco, 1973).
  45. V. V. Narlikar and K. R. Karmarkar, The scalar invariants of a general gravitational metric, Proc. Indian Acad. Sci. A 29, 91 (1949).
  46. P. Bueno, P. A. Cano, R. A. Hennigar, A. J. Murcia, and A. Vicente-Cano, Regular black holes from Oppenheimer-Snyder collapse, Phys. Rev. D 112, 064039 (2025).
  47. B. Mesić and I. Smolić, Symmetry inheritance and Jebsen-Birkhoff theorem, arXiv:1407.7246.
  48. M. Born and L. Infeld, Foundations of the new field theory, Proc. R. Soc. A 144, 425 (1934).
  49. S. V. Ketov, Many faces of Born-Infeld theory, in Proceedings of the 7th International Wigner Symposium (WigSym 7) (2001), arXiv:hep-th/0108189.
  50. R. Kerner, A. L. Barbosa, and D. V. Gal’tsov, Topics in Born-Infeld electrodynamics, AIP Conf. Proc. 589, 377 (2001).
  51. D. P. Sorokin, Introductory notes on non-linear electrodynamics and its applications, Fortschr. Phys. 70, 2200092 (2022).
  52. Y. Yang, Born–Infeld theory of electromagnetism, in Mathematical Physics with Differential Equations (Oxford University Press, New York, 2023), Chap. 14, pp. 323–428.
  53. A. Bokulić, I. Smolić, and T. Jurić, Constraints on singularity resolution by nonlinear electrodynamics, Phys. Rev. D 106, 064020 (2022).

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Information

Phys. Rev. D 114, 084081– Published 26 October, 2026
  • Received 24 July 2026
  • Accepted 24 August 2026
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