Super-Penrose process for extremal rotating neutral white holes
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Super-Penrose process for extremal rotating neutral white holes O. B. Zaslavskii1,2 Received: 11 June 2020 / Accepted: 24 October 2020 © Springer Science+Business Media, LLC, part of Springer Nature 2020
Abstract We consider collision of two particles 1 and 2 near the horizon of the extremal rotating axially symmetric neutral generic black hole producing particles 3 and 4. We discuss the scenario in which both particles 3 and 4 fall into a black hole and move in a white hole region. If particle 1 is fine-tuned, the energy E c.m. in the centre of mass grows unbounded (the Bañados-Silk-West effect). Then, particle 3 can, in principle, reach a flat infinity in another universe. If not only E c.m. but also the corresponding Killing energy E is unbounded, this gives a so-called super-Penrose process (SPP). We show that the SPP is indeed possible. Thus white holes turn out to be potential sources of high energy fluxes that transfers from one universe to another. This generalizes recent observations made by Patil and Harada for the Kerr metric. We analyze two different regimes of the process on different scales.
Contents 1 Introduction . . . . . . 2 Basic equations . . . . . 3 Scenario of collision . . 4 Lower bounds on energy 5 Superenergetic particles 6 Conclusions . . . . . . References . . . . . . . . .
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Keywords Particle collision · Super-Penrose process · White holes
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O. B. Zaslavskii [email protected]
1
Department of Physics and Technology, Kharkov V.N. Karazin National University, 4 Svoboda Square, Kharkov 61022, Ukraine
2
Institute of Mathematics and Mechanics, Kazan Federal University, 18 Kremlyovskaya St., Kazan 420008, Russia 0123456789().: V,-vol
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O. B. Zaslavskii
1 Introduction During last decade a lot of work has been made for investigation of properties of high energy processes near black holes. This was stimulated by the paper [1], where it was found that collision of two particles near rapidly rotating black holes can lead to unbounded energies E c.m. in the centre of mass frame. This was called the BañadosSilk-West (BSW) effect, after the authors’ names. After its publication, it turned out, that there are also earlier works [2,3] in which near-horizon particle collisions in the Kerr metric were investigated. Meanwhile, a typical process considered there, includes head-on collision between two arbitrary particles, where particle 1 arrives from infinity while particle 2
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