Charged Particle Dynamics, Electric Penrose Process, and Collisions in Einstein-Born-Infeld Black Holes
Mukhabbat Kurbanova
1,2,*
,
Aleksandra Demyanova
3,4
,
Ahmadjon Abdujabbarov
5,6
1 Institute of Fundamental and Applied Research, National Research University TIIAME , Kori Niyoziy 39, Tashkent 100000, Uzbekistan
2 American University of Technology , Beshyogoch street 1, Tashkent 100060, Uzbekistan
3 New Uzbekistan University , Mustaqillik Ave. 54, Tashkent 100007, Uzbekistan
4 Pisa University in Tashkent , Olimlar str. 64, Tashkent 100164, Uzbekistan
5 School of Physics, Harbin Institute of Technology , Harbin 150001, People’s Republic of China
6 Institute of Nuclear Physics , Ulugbek 1, Tashkent 100214, Uzbekistan
Abstract
In this study, we investigate the dynamics of charged test particles and high-energy particle processes in the spacetime of a static, spherically symmetric Einstein–Born–Infeld black hole. Employing an analytic form of the Einstein–Born–Infeld metric that captures leading nonlinear electrodynamic corrections, we analyze the effective potential structure, circular orbits, and the emergence of negative-energy states. Particular emphasis is placed on the electric Penrose process, where energy extraction is achieved through particle decay in the near-horizon region. We derive the maximal extractable energy and examine the dependence of the extraction efficiency on the black hole charge, the Born–Infeld parameter, and the ionization radius. In addition, we explore collisions of charged particles near the event horizon and demonstrate that the Bañados–Silk–West mechanism persists in the Einstein–Born–Infeld background. Our results show that nonlinear electrodynamic effects significantly modify the critical angular momentum and the center-of-mass energy of collisions, acting as a regulator that can either suppress or enhance ultra-high-energy processes. These findings highlight the important role of Born–Infeld nonlinearity in energy extraction and particle acceleration near charged black holes.
References
[1] Reissner, H., Annalen der Physik 355, 106 (1916)
[2] Nordström, G., Proc. Kon. Ned. Akad. Wet. 20, 1238 (1918)
[3] Born, M. and Infeld, L., Proc. R. Soc. Lond. A 144, 425 (1934)
[4] García, A. D., Salazar, H. I. and Plebański, J. F., Nuovo Cim. B 84, 65 (1984)
[5] Ayón-Beato, E. and García, A., Phys. Lett. B 464, 25 (1999)
[6] Dey, T. K., Phys. Lett. B 595, 484 (2004)
[7] Bretón, N., Phys. Rev. D 72, 044015 (2005)
[8] Rasheed, D. A., arXiv:hep-th/9702087 (1997)
[9] Fernando, S. and Krug, D., Phys. Rev. D 74, 104032 (2006)
[10] Panotopoulos, G. and Rincón, Á., Eur. Phys. J. Plus 134, 300 (2019)
[11] Eiroa, E. F. and Sendra, C. M., Class. Quantum Grav. 28, 085008 (2011)
[12] Atamurotov, F., Hussain, I., Mustafa, G. and Jusufi, K., Eur. Phys. J. C 82, 831 (2022)
[13] Kurmanov, Y., Boshkayev, K., Konysbayev, T., Luongo, O., Saiyp, N., Urazalina, A., Ikhsan, G. and Suliyeva, G., arXiv:2404.15437 (2024)
[14] Penrose, R. and Floyd, R. M., Nature Phys. Sci. 229, 177 (1971)
[15] Denardo, G. and Ruffini, R., Phys. Lett. B 45, 259 (1973)
[16] Wagh, S. M., Dhurandhar, S. V. and Dadhich, N., Astrophys. J. 290, 12 (1985)
[17] Zaslavskii, O. B., Phys. Rev. D 109, 124053 (2024)
[18] Bañados, M., Silk, J. and West, S. M., Phys. Rev. Lett. 103, 111102 (2009)
[19] Zaslavskii, O. B., Phys. Rev. D 82, 083004 (2010)
[20] Grib, A. A. and Pavlov, Y. V., Grav. Cosmol. 17, 42 (2011)
[21] Zaslavskii, O. B., Phys. Rev. D 86, 124039 (2012)
[22] Carter, B., Commun. Math. Phys. 10, 280 (1968)
[23] Tursunov, A., Juraev, B., Stuchlík, Z. and Kološ, M., Phys. Rev. D 104, 084099 (2021)
[24] Penrose, R., Riv. Nuovo Cim. 1, 252 (1969)
[25] Almeida, C. R., Eur. Phys. J. H 46, 20 (2021)
[26] Kurbonov, N., Rayimbaev, J., Alloqulov, M., Zahid, M., Abdulxamidov, F., Abdujabbarov, A. and Kurbanova, M., Eur. Phys. J. C 83, 506 (2023)
[27] Dadhich, N., Tursunov, A., Ahmedov, B. and Stuchlík, Z., Mon. Not. R. Astron. Soc. 478, L89 (2018)
[28] Alloqulov, M., Narzilloev, B., Hussain, I., Abdujabbarov, A. and Ahmedov, B., Chin. J. Phys. 85, 302 (2023)
[29] Stuchlík, Z., Kološ, M. and Tursunov, A., Universe 7, 416 (2021)
[30] Banados, M., Silk, J. and West, S. M., Phys. Rev. Lett. 103, 111102 (2009)
[31] Zahid, M., Rayimbaev, J., Kurbonov, N., Ahmedov, S., Shen, C. and Abdujabbarov, A., Eur. Phys. J. C 84, 706 (2024)
[32] Abdujabbarov, A. A., Tursunov, A. A., Ahmedov, B. J. and Kuvatov, A., Astrophys. Space Sci. 343, 173 (2013)
[33] Kurbonov, N., Bokhari, A. H., Rayimbaev, J. and Ahmedov, B., Eur. Phys. J. C 85, 494 (2025)
[34] Zahid, M., Khan, S. U. and Ren, J., Chin. J. Phys. 72, 575 (2021)
[35] Ladino, J. M., Benavides-Gallego, C. A., Larrañaga, E., Rayimbaev, J. and Abdulxamidov, F., Eur. Phys. J. C 83, 989 (2023)
Cite this article
Kurbanova, M., Demyanova, A. and Abdujabbarov, A., Charged Particle Dynamics, Electric Penrose Process, and Collisions in Einstein-Born-Infeld Black Holes, Turanian J. Vol. 1, No. 4 (010405), 2025