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We address the properties of extremal black holes by considering the Christodoulou-Ruffini/Hawking mass-energy formula. By simple geometrical arguments, we found that the mass/energy formula is satisfied by two meaningful extremal black…

General Relativity and Quantum Cosmology · Physics 2024-03-15 Giorgio Sonnino

The mass-energy formula for a black hole endowed with electromagnetic structure (EMBH) is clarified for the nonrotating case. The irreducible mass $M_{\mathrm{irr}}$ is found to be independent of the electromagnetic field and explicitly…

Astrophysics · Physics 2009-11-07 Remo Ruffini , Luca Vitagliano

The energy extraction from a Einstein-Born-Infeld (EBI) black hole is addressed determining the extension of the ergosphere as well as the extractable energy using the irreducible mass concept. These results are compared with the…

General Relativity and Quantum Cosmology · Physics 2016-11-28 Nora Breton

We set to weigh the black holes at their event horizons in various spacetimes and obtain masses which are substantially higher than their asymptotic values. In each case, the horizon mass of a Schwarzschild, Reissner-Nordstr{\"o}m, or Kerr…

General Relativity and Quantum Cosmology · Physics 2018-08-09 Yuan K. Ha

We investigate the energy distribution of a black hole in various spacetimes as reckoned by a distant observer using the quasi-local energy approach. In each case the horizon mass of a black hole: neutral, charged or rotating, is found to…

General Relativity and Quantum Cosmology · Physics 2019-02-27 Yuan K. Ha

We simulate high-energy scattering of equal-mass, nonspinning black holes endowed with like charges in full general relativity while varying the impact parameter $b$. We show that electrodynamics does not suppress zoom-whirl orbits for at…

General Relativity and Quantum Cosmology · Physics 2024-11-20 M A. M. Smith , Vasileios Paschalidis , Gabriele Bozzola

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

The three-dimensional static and circularly symmetric solution of the Einstein-Born-Infeld-dilaton system is derived. The solutions corresponding to low energy string theory are investigated in detail, which include black hole solutions if…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Ryo Yamazaki , Daisuke Ida

In the present work, we extend and generalize our previous work regarding the scale dependence applied to black holes in the presence of non-linear electrodynamics [1]. The starting point for this study is the Einstein-power-Maxwell theory…

General Relativity and Quantum Cosmology · Physics 2021-02-05 Angel Rincon , Ernesto Contreras , Pedro Bargueño , Benjamin Koch , Grigoris Panotopoulos

We investigate the extraction of rotational energy from rotating Einstein-Born-Infeld (EBI) black holes, where nonlinear electrodynamics introduces a radius-dependent effective charge modifying the spacetime geometry. Focusing on neutral…

General Relativity and Quantum Cosmology · Physics 2025-10-02 Urooj Fatima , G. Abbas

The mass--energy formula of black holes implies that up to 50% of the energy can be extracted from a static black hole. Such a result is reexamined using the recently established analytic formulas for the collapse of a shell and expression…

Astrophysics · Physics 2009-11-07 Remo Ruffini , Luca Vitagliano

If two ultrarelativistic nonrotating black holes of masses $m_1$ and $m_2$ approach each other with fixed center-of-momentum (COM) total energy $E = \sqrt{s} \gg (m_1+m_2)c^2$ that has a corresponding Schwarzschild radius $R = 2GE/c^4$ much…

General Relativity and Quantum Cosmology · Physics 2022-10-10 Don N. Page

We study the thermodynamical properties of black holes when described as gases of indistinguishable punctures with a chemical potential. In this picture, which arises from loop quantum gravity, the black hole microstates are defined by…

General Relativity and Quantum Cosmology · Physics 2015-04-08 Olivier Asin , Jibril Ben Achour , Marc Geiller , Karim Noui , Alejandro Perez

A new four-dimensional black hole solution of Einstein-Born-Infeld-Yang-Mills theory is constructed, several degenerated forms of the black hole solution are presented. The related thermodynamical quantities are calculated, with which the…

General Relativity and Quantum Cosmology · Physics 2017-01-25 Kun Meng , Da-Bao Yang , Zhan-Ning Hu

Taking into account the Euler-Heisenberg effective Lagrangian of one-loop nonperturbative quantum electrodynamics (QED) contributions, we formulate the Einstein-Euler-Heisenberg theory and study the solutions of nonrotating black holes with…

High Energy Physics - Theory · Physics 2013-10-08 Remo Ruffini , Yuan-Bin Wu , She-Sheng Xue

We revisit the charged black hole bomb by numerically solving the fully non-linear Einstein-Maxwell-(charged, complex) Klein-Gordon system with a moving mirror. By dynamically varying the cavity size, we find that the system evolves toward…

General Relativity and Quantum Cosmology · Physics 2025-06-10 Nicolas Sanchis-Gual , Alejandro Belchí , Carlos Herdeiro , José A. Font

The mass of a Kerr black hole can be separated into irreducible and rotational components -the former is a lower limit to the energy that cannot be possibly extracted from the event horizon and is related to its area. Here we compute the…

General Relativity and Quantum Cosmology · Physics 2022-08-23 Davide Gerosa , Cecilia Maria Fabbri , Ulrich Sperhake

The Schwarzschild metric has a divergent energy density at the horizon, which motivates a new approach to black holes. If matter is spread uniformly throughout the interior of a supermassive black hole, with mass $M\sim M_\star= 2.34…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Theo M. Nieuwenhuizen

The generalization of the black hole in three-dimensional spacetime to include an electric charge Q in addition to the mass M and the angular momentum J is given. The field equations are first solved explicitly when Q is small and the…

High Energy Physics - Theory · Physics 2009-10-31 Cristian Martinez , Claudio Teitelboim , Jorge Zanelli

In this work, the solution of the Einstein equations for a slowly rotating black hole with Born-Infeld charge is obtained. Geometrical properties and horizons of this solution are analyzed. The conditions when the ADM mass (as in the…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Diego Julio Cirilo-Lombardo
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