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Energy extraction and particle acceleration around a rotating black hole in quintessence

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Abstract

We study motion and collision of particles in the gravitational field of rotating black hole immersed in quintessential dark energy characterized with the quintessential parameter \(\omega_{q}\in(-1;-1/3)\) governing the equation of state of the dark energy, and the dimensionless quintessential field parameter \(\tilde{c}\). We focus on the acceleration of particles due to collisional processes and show how the center of mass energy depends on the quintessential field parameter \(\tilde{c}\). We also make comparison of the obtained results to the collisional energetics of quintessential static black holes demonstrating the crucial role of the rotation parameter \(a\) in the particle acceleration. Finally we study the dependence of the maximal value of the efficiency of energy extraction through Penrose process for rotating black hole with quintessential field parameter \(\tilde{c}\). It is found that quintessence field decreases the energy extraction efficiency through Penrose process and when the parameter \(\tilde{c}\) vanishes one can get the standard value of the efficiency coefficient for the Kerr black hole as \(\eta\sim 21~\%\).

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Acknowledgements

T. Oteev would like to express their acknowledgments for the Institutional support of the Faculty of Philosophy and Science of the Silesian University in Opava, the internal student grant of the Silesian University SGS/14/2016, Z. Stuchlík acknowledges the Albert Einstein Centre for Gravitation and Astrophysics supported by the Czech Science Foundation grant No. 14-37086G. A. Abdujabbarov and B. Ahmedov acknowledge the Faculty of Philosophy and Science, Silesian University in Opava, Czech Republic and the Goethe University, Frankfurt am Main, Germany for their warm hospitality. The research of A. Abdujabbarov and B. Ahmedov is supported in part by Projects No. F2-FA-F113, No. EF2-FA-0-12477, and No. F2-FA-F029 of the UzAS, and by the ICTP through Grants No. OEA-PRJ-29 and No. OEA-NET-76 and by the Volkswagen Stiftung, Grant No. 86 866.

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Correspondence to Ahmadjon Abdujabbarov.

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Oteev, T., Abdujabbarov, A., Stuchlík, Z. et al. Energy extraction and particle acceleration around a rotating black hole in quintessence. Astrophys Space Sci 361, 269 (2016). https://doi.org/10.1007/s10509-016-2850-9

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  • DOI: https://doi.org/10.1007/s10509-016-2850-9

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