Abstract
In this article, we investigate the possibilities of energy extraction from an over-spinning Kerr spacetime using collisional Penrose process. This phenomenon can produce a high-energy ejecta of particles under certain favourable conditions. Unlike black holes, in this case, the particles endowed with higher energy can escape to infinity. We use this model to explore various possibilities of jet formation in an over-spinning geometry. Primarily we concentrate on the energy extraction associated with collisions taking place on the off-equatorial planes and find the signature of jets from them. We also apply this formalism to a toy model which could be useful in practical astrophysical scenarios. This is motivated from the atomic model where we have considered the decay of a circular orbit because of energy extraction via Penrose mechanism.
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References
Banados, M., Silk, J., West, S.M.: Phys. Rev. Lett. 103, 111102 (2009)
Bardeen, J.M., Press, W.H., Teukolsky, S.A.: Astrophys. J. 178, 347 (1972)
Bejger, M., Piran, T., Abramowicz, M., Hakanson, F.: Phys. Rev. Lett. 109, 121101 (2012)
Bhattacharya, S.: Phys. Rev. D 97, 084049 (2018)
Blandford, R.D., Znajek, R.L.: Mon. Not. R. Astron. Soc. 179, 433 (1977)
Carter, B.: Black hole equilibrium states. In: Black Holes (les astres occlus). Gordon & Breach, New York (1973)
Chandrasekhar, S.: The Mathematical Theory of Black Holes. International Series of Monographs on Physics, vol. 69. Oxford University Press, London (1998)
de Felice, F.: Astron. Astrophys. 34, 15 (1974)
de Felice, F., Calvani, M.: Nuovo Cimento B 10, 447–458 (1972)
Gariel, J., MacCallum, M., Marcilhacy, G., Santos, N.: Astron. Astrophys. 515, A15 (2010)
Harada, T., Kimura, M.: Phys. Rev. D 83, 024002 (2011)
Hawking, S.W., Ellis, G.F.R.: The Large Scale Structure of Space-Time, Vol. 1. Cambridge University Press, Cambridge (1973)
Kerr, R.P.: Phys. Rev. Lett. 11, 237–238 (1963)
Krolik, J.H.: Active Galactic Nuclei: From the Central Black Hole to the Galactic Environment. Princeton University Press, Princeton (1999)
Leiderschneider, E., Piran, T.: Phys. Rev. D 93, 043015 (2016)
McWilliams, S.T.: Phys. Rev. Lett. 110, 011102 (2013)
Narayan, R., McClintock, J.E., Tchekhovskoy, A.: General Relativity, Cosmology and Astrophysics. Fundamental Theories of Physics, vol. 177, pp. 523–535. Springer, Berlin (2014)
O’Neil, B.: The Geometry of Kerr Black Holes. AK Peters, Wellesley (1995)
Patil, M., Joshi, P.S.: Class. Quantum Gravity 28, 235012 (2011)
Patil, M., Joshi, P.S.: Pramana 84, 491–501 (2015)
Patil, M., Harada, T., Nakao, K., Joshi, P.S., Kimura, M.: Phys. Rev. D 93, 104015 (2016)
Penrose, R.: J. Astrophys. Astron. 20, 233–248 (1971)
Penrose, R., Floyd, R.: Nature 229, 177–179 (1971)
Piran, T., Shaham, J.: Phys. Rev. D 16, 1615–1635 (1977)
Piran, T., Shaham, J., Katz, J.: Astrophys. J. 196, L107 (1975)
Piran, T., Kumar, P., Panaitescu, A., Piro, L.: Astrophys. J. 560, L167 (2001)
Punsly, B.: Black Hole Gravitohydromagnetics. Springer, Berlin/Heidelberg (2001)
Sauty, C., Tsinganos, K., Trussoni, E.: arXiv:astro-ph/0108509 (2002)
Semenov, V.S., Dyadechkin, S.A., Heyn, M.F.: Phys. Scr. 89, 045003 (2014)
Tanatarov, I.V., Zaslavskii, O.B.: Gen. Relativ. Gravit. 49, 119 (2017)
Zaslavskii, O.B.: Class. Quantum Gravity 29, 205004 (2012)
Acknowledgements
The authors are thankful to the Visiting Associateship programme of Inter-University Centre for Astronomy and Astrophysics (IUCAA), Pune. A part of this work was carried out during the visit to IUCAA under this programme. Finally, the authors wish to thank the anonymous referee for some useful comments and suggestions to improve the manuscript.
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Mukherjee, S., Nayak, R.K. Collisional Penrose process and jets in Kerr naked singularity. Astrophys Space Sci 363, 163 (2018). https://doi.org/10.1007/s10509-018-3386-y
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DOI: https://doi.org/10.1007/s10509-018-3386-y