Abstract
The motion of a magnetized particle orbiting around non-Schwarzschild black hole immersed in an external uniform magnetic field is considered. The influence of deformation parameter \(h\) to effective potential of the radial motion of the magnetized particle around non-Schwarzschild black hole using Hamilton-Jacobi formalism is studied. We have obtained numerical values of area \(\Delta \rho \) where magnetized particles can move which is expanding (narrowing) due to the effect of the negative (positive) deformation. Finally, we have studied the collision of two particles (magnetized-neutral, magnetized-magnetized, magnetized-charged) in non-Schwarzschild spacetime and got the center-of-mass energy \((E_{c.m})\) for the particles. Moreover, we have found the capture radius (\(r_{cap}\)) – the distance from the central object to the point where particles collide and fall down to the central compact object. It is shown that non-Schwarzschild black holes could also act as particle accelerators with arbitrarily high center-of-mass energy.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Abdujabbarov, A.A., Ahmedov, B.J., Jurayeva, N.B.: Phys. Rev. D 87, 064042 (2013)
Abdujabbarov, A., Ahmedov, B., Rahimov, O., Salikhbaev, U.: Phys. Scr. 89, 084008 (2014)
Al Zahrani, A.M., Frolov, V.P., Shoom, A.A.: Phys. Rev. D 87, 084043 (2013)
Atamurotov, F., Abdujabbarov, A., Ahmedov, B.: Phys. Rev. D 88, 064004 (2013a)
Atamurotov, F., Ahmedov, B., Shaymatov, S.: Astrophys. Space Sci. 347, 277 (2013b)
Baňados, M., Silk, J., West, S.M.: Phys. Rev. Lett. 103, 111102 (2009)
Blandford, R.D., Znajek, R.L.: Mon. Not. R. Astron. Soc. 179, 433 (1977)
de Felice, F., Sorge, F.: Class. Quantum Gravity 20, 469 (2003)
de Felice, F., Sorge, F., Zilio, S.: Class. Quantum Gravity 21, 961 (2004)
Frolov, V.L.: Phys. Rev. D 85(2), 024020 (2012)
Frolov, V.L., Shoom, A.A.: Phys. Rev. D 82(8), 084034 (2010)
Frolov, V.L., Shoom, A.A., Tzounis, Ch.: Phys. Rev. D 90(2), 024027 (2014)
Ghosh, S.G., Sheoran, P.: Phys. Rev. D 89, 024023 (2014). 1309.5519
Gurzadyan, V.G., Ozernoy, L.M.: Nature 280, 214 (1979)
Hakimov, A., Atamurotov, F.: Astrophys. Space Sci. 361, 112 (2016)
Johannsen, T., Psaltis, D.: Phys. Rev. D 83, 124015 (2011). 1105.3191
Konoplya, R.A., Zhidenko, A.: Phys. Rev. D 87, 024044 (2013). 1210.8430
Misner, C.W., Thorne, K.S., Wheeler, J.A.: Gravitation. Freeman, San Francisco (1973)
Penrose, R.: Gen. Relativ. Gravit. 34, 1141 (2002)
Preti, G.: Class. Quantum Gravity 21, 3433 (2004)
Rahimov, O.G.: Mod. Phys. Lett. A 26, 399 (2011). 1012.1481
Shaymatov, S.R., Ahmedov, B.J., Abdujabbarov, A.A.: Phys. Rev. D 88(2), 024016 (2013)
Steiner, J.F., McClintock, J.E., Remillard, R.A., Narayan, R., Gou, L.: Astrophys. J. Lett. 701, L83 (2009)
Toshmatov, B., Abdujabbarov, A., Ahmedov, B., Stuchlík, Z.: Astrophys. Space Sci. 360, 19 (2015)
Tursunov, A., Kološ, M., Abdujabbarov, A., Ahmedov, B., Stuchlík, Z.: Phys. Rev. D 88(12), 124001 (2013). 1311.1751
van Holten, J.W.: Nucl. Phys. B 356, 3 (1991)
Zaslavskii, O.B.: Phys. Rev. D 88, 104016 (2013). 1301.2801
Acknowledgements
Author thanks Polat Tadjimuratov, Ahmadjon Abdujabbarov and Bobomurat Ahmedov for useful discussions and Atamuratov Farruh for assistance in making numerical calculations and graphs. Author is grateful to the IUCAA for the warm hospitality during his stay in Pune, India. This research is supported in part by Projects No. F2-FAF113, No. EF2-FA-0-12477, and No. F2-FA-F029 of the UzAS and by the ICTP through the OEA-PRJ-29 and the OEA-NET-76 projects and by the Volkswagen Stiftung (Grant No. 86 866).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Rayimbaev, J.R. Magnetized particle motion around non-Schwarzschild black hole immersed in an external uniform magnetic field. Astrophys Space Sci 361, 288 (2016). https://doi.org/10.1007/s10509-016-2879-9
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s10509-016-2879-9