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Particle acceleration of two general particles in the background of rotating Ayón-Beato-García black holes

  • Fazlay AhmedEmail author
  • Muhammed Amir
  • Sushant G. Ghosh
Original Article
  • 32 Downloads

Abstract

The rotating Ayón-Beato-García (ABG) black holes, apart from mass (\(M\)) and rotation parameter (\(a\)), has an additional charge \(Q\) and encompassed the Kerr black hole as particular case when \(Q=0\). We demonstrate the ergoregions of rotating ABG black holes depend on both rotation parameter \(a\) and charge \(Q\), and the area of the ergoregions increases with increase in the values of \(Q\). Bañados, Silk and West (BSW) demonstrated that an extremal Kerr black hole can act as a particle accelerator with arbitrarily high center-of-mass energy (\(E_{CM}\)). We study the collision of two general particles with different masses falling freely from rest in the equatorial plane of a rotating ABG black hole near the event horizon and find that the \(E_{CM}\) of two colliding particles is arbitrarily high when one of the particles takes a critical value of angular momentum in the extremal case, whereas for nonextremal case \(E_{CM}\) for a pair of colliding particles is generically divergent at the inner horizon, and explicitly studying the effect of charge \(Q\) on the \(E_{CM}\) for ABG black hole. In particular, our results in the limit \(Q\rightarrow 0\) reduce exactly to vis-à-vis those of the Kerr black hole.

Keywords

Black hole Particle accelerator Regular black hole 

Notes

Acknowledgements

S.G.G. would like to thank SERB-DST for Research Project Grant No. SB/S2/HEP-008/2014 and DST INDO-SA bilateral project DST/INT/South Africa/P-06/2016. M.A. thanks the University of KwaZulu-Natal and the National Research Foundation for financial support.

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Copyright information

© Springer Nature B.V. 2019

Authors and Affiliations

  1. 1.Centre for Theoretical PhysicsJamia Millia IslamiaNew DelhiIndia
  2. 2.Astrophysics and Cosmology Research Unit, School of Mathematics, Statistics and Computer ScienceUniversity of KwaZulu-NatalDurbanSouth Africa
  3. 3.Multidisciplinary Centre for Advanced Research and Studies (MCARS)Jamia Millia IslamiaNew DelhiIndia

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