19 citations · 66 across the 9 of their papers we have counts for
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Charged black hole accelerated by spatially homogeneous electric field of Bertotti-Robinson (AdS2 x S2) space-time
G. A. Alekseev
A simple exact solution of the Einstein - Maxwell field equations for charged non-rotating black hole accelerated by an external electric field is presented. The background space-t…
Monodromy transform approach in the theory of integrable reductions of Einstein's field equations and some applications
G. A. Alekseev
A brief sketch of the formulation of the monodromy transform approach and corresponding integral equation methods as well as of various applications of this approach for solution o…
Characteristic initial value problems for integrable hyperbolic reductions of Einstein's equations
G. A. Alekseev
A unified general approach is presented for construction of solutions of the characteristic initial value problems for various integrable hyperbolic reductions of Einstein's equati…
New integral equation form of integrable reductions of Einstein equations
G. A. Alekseev
A new development of the ``monodromy transform'' method for analysis of hyperbolic as well as elliptic integrable reductions of Einstein equations is presented. Compatibility condi…
Infinite hierarchies of exact solutions of the Einstein and Einstein-Maxwell equations for interacting waves and inhomogeneous cosmologies
G. A. Alekseev, J. B. Griffiths
For space-times with two spacelike isometries, we present infinite hierarchies of exact solutions of the Einstein and Einstein--Maxwell equations as represented by their Ernst pote…
Gravitational Solitons and Monodromy Transform Approach to Solution of Integrable Reductions of Einstein Equations
G. A. Alekseev
In this paper the well known Belinskii and Zakharov soliton generating transformations of the solution space of vacuum Einstein equations with two-dimensional Abelian groups of iso…
Monodromy Transform Approach to Solution of Some Field Equations in General Relativity and String Theory
G. A. Alekseev
A monodromy transform approach, presented in this communication, provides a general base for solution of space-time symmetry reductions of Einstein equations in all known integrabl…