scholarly journals Exact solutions for extreme black hole magnetospheres

2015 ◽  
Vol 2015 (7) ◽  
Author(s):  
Alexandru Lupsasca ◽  
Maria J. Rodriguez
2021 ◽  
Vol 2021 (3) ◽  
Author(s):  
Shahar Hadar ◽  
Alexandru Lupsasca ◽  
Achilleas P. Porfyriadis

Abstract We study the SL(2) transformation properties of spherically symmetric perturbations of the Bertotti-Robinson universe and identify an invariant μ that characterizes the backreaction of these linear solutions. The only backreaction allowed by Birkhoff’s theorem is one that destroys the AdS2× S2 boundary and builds the exterior of an asymptotically flat Reissner-Nordström black hole with $$ Q=M\sqrt{1-\mu /4} $$ Q = M 1 − μ / 4 . We call such backreaction with boundary condition change an anabasis. We show that the addition of linear anabasis perturbations to Bertotti-Robinson may be thought of as a boundary condition that defines a connected AdS2×S2. The connected AdS2 is a nearly-AdS2 with its SL(2) broken appropriately for it to maintain connection to the asymptotically flat region of Reissner-Nordström. We perform a backreaction calculation with matter in the connected AdS2× S2 and show that it correctly captures the dynamics of the asymptotically flat black hole.


2016 ◽  
Vol 2016 ◽  
pp. 1-7 ◽  
Author(s):  
Chang Liu ◽  
Yan-Gang Miao ◽  
Yu-Mei Wu ◽  
Yu-Hao Zhang

We suggest a quantum black hole model that is based on an analogue to hydrogen atoms. A self-regular Schwarzschild-AdS black hole is investigated, where the mass density of the extreme black hole is given by the probability density of the ground state of hydrogen atoms and the mass densities of nonextreme black holes are given by the probability densities of excited states with no angular momenta. Such an analogue is inclined to adopt quantization of black hole horizons. In this way, the total mass of black holes is quantized. Furthermore, the quantum hoop conjecture and the Correspondence Principle are discussed.


2001 ◽  
Vol 16 (09) ◽  
pp. 557-569 ◽  
Author(s):  
YU. P. GONCHAROV

The black hole physics techniques and results are applied to find a set of exact solutions of the SU(3)-Yang–Mills equations in Minkowski space–time in the Lorentz gauge. All the solutions contain only the Coulomb-like or linear in r components of SU(3)-connection. This allows one to obtain some possible exact and approximate solutions of the corresponding Dirac equation that can describe the relativistic bound states. Possible application to the relativistic models of mesons is also outlined.


2014 ◽  
Vol 29 (02) ◽  
pp. 1450010 ◽  
Author(s):  
S. MIGNEMI

We present a technique for obtaining exact spherically symmetric asymptotically de Sitter (dS) or anti-de Sitter (adS) black hole solutions of dilaton gravity with generic coupling to Maxwell field, starting from asymptotically flat solutions and adding a suitable dilaton potential to the action.


2011 ◽  
Vol 44 (4) ◽  
pp. 835-853 ◽  
Author(s):  
S. H. Hendi ◽  
B. Eslam Panah ◽  
S. M. Mousavi
Keyword(s):  

2009 ◽  
Vol 18 (14) ◽  
pp. 2351-2356 ◽  
Author(s):  
ALEXANDER BURINSKII

Analyzing exact solutions to the Einstein–Maxwell equations in the Kerr–Schild formalism, we show that the black hole horizon is unstable with respect to electromagnetic excitations. Contrary to perturbative smooth harmonic solutions, the exact solutions for electromagnetic excitations on the Kerr background are accompanied by singular beams which have very strong back-reaction to the metric and break the horizon, forming the holes which allow radiation to escape from the interior of the black hole. As a result, even the weak vacuum fluctuations break the horizon topologically, covering it by a set of fluctuating microholes. We conclude with a series of nontrivial consequences, one of which is that there is no information loss inside of the black hole.


2012 ◽  
Vol 44 (9) ◽  
pp. 2373-2386
Author(s):  
I. Cabrera-Munguia ◽  
V. S. Manko ◽  
E. Ruiz ◽  
M. B. Sadovnikova

2011 ◽  
Vol 412 (4) ◽  
pp. 2417-2432 ◽  
Author(s):  
Yohsuke Takamori ◽  
Ken-ichi Nakao ◽  
Hideki Ishihara ◽  
Masashi Kimura ◽  
Chul-Moon Yoo

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