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We consider an exact Einstein-Maxwell solution constructed by Alekseev and Garcia which describes a Schwarzschild black hole immersed in the magnetic universe of Levi-Civita, Bertotti and Robinson (LCBR).
Realtà fisica di alcuni spazi normali del Bianchi
T. Levi-Civita · 1917
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Static magnetic fields in general relativity
W. B. Bonnor · 1954
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Gravitational waves in general relativity. IV. The gravitational field of a fast-moving particle
F. A. E. Pirani · 1959
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Uniform electromagnetic field in the theory of general relativity
B. Bertotti · 1959
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A solution of the Maxwell–Einstein equations
I. Robinson · 1959
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Pure magnetic and electric geons
M. A. Melvin · 1964
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Twistor quantisation and curved space-time
R. Penrose · 1968
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On the gravitational field of a massless particle
P. C. Aichelburg and R. U. Sexl · 1971
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Black hole equilibrium states
B. Carter · 1973
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The Large Scale Structure of Space-Time
S. W. Hawking and G. F. R. Ellis · 1973
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Interacting electromagnetic shock waves in general relativity
P. Bell and P. Szekeres · 1974
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Black holes in a magnetic universe
F. J. Ernst · 1976
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High-speed black-hole encounters and gravitational radiation
P. D. D’Eath · 1978
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Shear-free special electrovac type-II solutions with cosmological constant
A. García D. and M. Alvarez C · 1984
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Graviton dominance in ultra-high-energy scattering
G. ’t Hooft · 1987
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Gravitational shock waves of ultra-high energetic particles on curved spacetimes
C. O. Loustó and N. Sánchez · 1989
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Impulsive waves in the Nariai universe
M. Ortaggio · 2002
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Impulsive waves in electrovac direct product spacetimes with Λ \Lambda
M. Ortaggio and J. Podolský · 2002
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Exact Solutions of Einstein’s Field Equations
H. Stephani, D. Kramer, M. MacCallum, C. Hoenselaers, and E. Herlt · 2003
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Explicit Kundt type I I II and N N solutions as gravitational waves in various type D D and O O universes
J. Podolský and M. Ortaggio · 2003
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Ultrarelativistic black hole in an external electromagnetic field and gravitational waves in the Melvin universe
M. Ortaggio · 2004
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Exact Space-Times in Einstein’s General Relativity
J. B. Griffiths and J. Podolský · 2009
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Traveling waves on a magnetic universe
D. Garfinkle and M. A. Melvin · 1992
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Shock-wave geometry with non-vanishing cosmological constant
M. Hotta and M. Tanaka · 1993
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Schwarzschild black hole immersed in a homogeneous electromagnetic field
G. A. Alekseev and A. A. Garcia · 1996
Cited alongside, same era.
Impulsive gravitational waves generated by null particles in de Sitter and anti-de Sitter backgrounds
J. Podolský and J. B. Griffiths · 1997
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Kundt spacetimes
A. Coley, S. Hervik, G. O. Papadopoulos, and N. Pelavas · 2009
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Lorentzian manifolds and scalar curvature invariants
A. Coley, S. Hervik, and N. Pelavas · 2010
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Table of Integrals, Series, and Products
I. S. Gradshteyn and I. M. Ryzhik · 2015
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Solution for “geodesic” motion of a Schwarzschild black hole along a magnetic field in AdS 2 × {}^{2}\times S 2 space-time
G. A. Alekseev · 2017
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