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The concept of the irreducible mass ($M_{\rm irr}$) has led to the mass-energy ($M$) formula of a Kerr black hole (BH), in turn leading to its surface area $S=16\pi M_{\rm irr}^2$. This also allowed the coeval identification of the…

General Relativity and Quantum Cosmology · Physics 2024-09-06 R. Ruffini , C. L. Bianco , M. Prakapenia , H. Quevedo , J. A. Rueda , S. R. Zhang

In the case involving particles the necessary and sufficient condition for the Penrose process to extract energy from a rotating black hole is absorption of particles with negative energies and angular momenta. No torque at the black-hole…

General Relativity and Quantum Cosmology · Physics 2014-02-04 J. -P. Lasota , E. Gourgoulhon , M. Abramowicz , A. Tchekhovskoy , R. Narayan

We consider the decay of a particle with some energy $E_{0}>0$ inside the ergosphere of a black hole. After the first decay one of particles with the energy $E_{1}<0$ falls towards a black hole while the second one with $% E_{2}>E_{0}\,\…

General Relativity and Quantum Cosmology · Physics 2022-08-31 O. B. Zaslavskii

We investigate the power of a collisional Penrose process with an unbound energy extraction from an extreme Reissner-Nordstr\"{o}m black hole. This process takes infinite time in a time coordinate at a constant radial coordinate outside of…

General Relativity and Quantum Cosmology · Physics 2022-05-31 Naoki Tsukamoto

We analyze the collisional Penrose process between a particle on the ISCO orbit around an extreme Kerr black hole and a particle impinging from infinity. We consider both cases with non-spinning and spinning particles. We evaluate the…

General Relativity and Quantum Cosmology · Physics 2020-01-22 Kazumasa Okabayashi , Kei-ichi Maeda

It has been proved that arbitrarily high-energy collision between two particles can occur near the horizon of an extremal Kerr black hole as long as the energy $E$ and angular momentum $L$ of one particle satisfies a critical relation,…

General Relativity and Quantum Cosmology · Physics 2018-01-10 Jincheng An , Jun Peng , Yan Liu , Xing-Hui Feng

Following the interesting work of Ba\~nados, Silk, and West [Phys. Rev. Lett. {\bf 103}, 111102 (2009)], it is repeatedly stated in the physics literature that the center-of-mass energy, ${\cal E}_{\text{c.m}}$, of two colliding particles…

General Relativity and Quantum Cosmology · Physics 2016-09-28 Shahar Hod

In this article, we study the repetitive Penrose process for the Kerr-Taub-NUT black hole (BH). First of all, we briefly review the spacetime of the Kerr-Taub-NUT BH, including horizon and ergosphere structures. The results indicate that…

General Relativity and Quantum Cosmology · Physics 2026-03-27 Mirzabek Alloqulov , Bobomurat Ahmedov , Chengxun Yuan

We study energy extraction and particle acceleration in the rotating Einstein-Maxwell-Dilaton-Axion (EMDA) black hole, focusing on the impact of dilaton hair $b\le 0$ on near-horizon energetics relative to Kerr. For the Penrose process we…

General Relativity and Quantum Cosmology · Physics 2026-03-20 Arindam Kumar Chatterjee

The origin of the ultra-high-energy particles we receive on the Earth from the outer space such as EeV cosmic rays and PeV neutrinos remains an enigma. All mechanisms known to us currently make use of electromagnetic interaction to…

General Relativity and Quantum Cosmology · Physics 2016-05-11 Mandar Patil , Tomohiro Harada , Ken-ichi Nakao , Pankaj S. Joshi , Masashi Kimura

We investigate various aspects of energy extraction via the Penrose process in the Kerr-de Sitter spacetime. We show that the increase in the value of a positive cosmological constant, $\Lambda$, always reduces the efficiency of this…

General Relativity and Quantum Cosmology · Physics 2018-05-02 Sourav Bhattacharya

We analyze collisional Penrose process of spinning test particles in an extreme Kerr black hole. We consider that two particles plunge into the black hole from infinity and collide near the black hole. For the collision of two massive…

General Relativity and Quantum Cosmology · Physics 2018-09-26 Kei-ichi Maeda , Kazumasa Okabayashi , Hirotada Okawa

The present study investigates the negative energy orbits and energy extraction efficiency using the magnetic Penrose process in various regular black hole geometries surrounded by electromagnetic fields. Utilizing numerical simulations, we…

General Relativity and Quantum Cosmology · Physics 2024-07-30 Divyesh P. Viththani , Tapobroto Bhanja , Vishva Patel , Pankaj S. Joshi

If two particles collide near the horizon of a rotating extremal black hole, under certain conditions the energy E_{c.m.} in the center-of-mass frame can grow without limit (the so-called Banados-Silk-West effect). We consider collisions…

General Relativity and Quantum Cosmology · Physics 2015-06-05 O. B. Zaslavskii

We study properties of particles with zero or negative energy and a nonzero orbital angular momentum in the ergosphere of a rotating black hole. We show that the sign of the particle energy is uniquely determined by the angular velocity of…

General Relativity and Quantum Cosmology · Physics 2017-04-13 A. A. Grib , Yu. V. Pavlov

A new scenario for extracting energy from a Kerr black hole is proposed. With magnetic field lines connecting plasma particles inside the ergosphere with remote loads, the frame dragging twists the field lines so that energy and angular…

Astrophysics · Physics 2009-10-31 Li-Xin Li

We consider generic axially symmetric rotating spacetimes and examine particle collisions in the ergoregion. The results are generic and agree with those obtained in the particular case of the rotating Teo wormhole in N. Tsukamoto and C.…

General Relativity and Quantum Cosmology · Physics 2016-05-12 O. B. Zaslavskii

We show that recent observation made in Grib and Pavlov, Europhys. Lett. 101 (2013) 20004 for the Kerr black hole is valid in the general case of rotating axially symmetric metric. Namely, collision of two particles in the ergosphere leads…

General Relativity and Quantum Cosmology · Physics 2013-04-09 O. B. Zaslavskii

In this work we present a new view on the thermodynamics of black holes introducing effects of irreversibility by employing thermodynamic optimization and finite-time thermodynamics. These questions are of importance both in physics and in…

General Relativity and Quantum Cosmology · Physics 2016-04-06 Alessandro Bravetti , Christine Gruber , Cesar S. Lopez-Monsalvo

While theoretically established for decades, the Penrose process - energy extraction from rotating black holes - still lacks clear observational evidence. A promising theoretical framework posits magnetic reconnection in the ergosphere as a…

High Energy Astrophysical Phenomena · Physics 2025-11-03 Zhixing Zhao , Zhong-Ying Fan , Xiaobao Wang , Minyong Guo , Bin Chen