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On General Solutions of Einstein Equations
Anholonomic frames, exact solutions, nonholonomic manifolds, Einstein spaces.
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2011/9/5
We show how the Einstein equations with cosmological constant (and/or various types of matter field sources) can be integrated in a very general form following the anholonomic deformation method for c...
Dynamics of solutions of the Einstein equations with twisted Gowdy symmetry
Dynamics of solutions Einstein equations twisted Gowdy symmetry
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2010/12/20
Some of the most interesting results on the global dynamics of solutions of the vacuum Einstein equations concern the Gowdy spacetimes whose spatial topology is that of a three-dimensional torus.
Boundary value problems for the stationary axisymmetric Einstein equations: a disk rotating around a black hole
Boundary value problems black hole axisymmetric Einstein equations
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2010/4/2
We solve a class of boundary value problems for the stationary axisymmetric Einstein equations corresponding to a disk of dust rotating uniformly around a central black hole. The solutions are given e...
On the initial conditions and solutions of the semiclassical Einstein equations in a cosmological scenario
Einstein equations cosmological scenario
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2010/3/17
In this paper we shall discuss the backreaction of a massive quantum scalar field on the curvature, the latter treated as a classical field. Furthermore, we shall deal with this problem in the realm o...
Boundary value problems for the stationary axisymmetric Einstein equations: a rotating disk
Einsteins equations boundary-value problem integrable system rotating disk
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2010/4/7
The stationary, axisymmetric reduction of the vacuum Einstein equations, the so-called Ernst equation, is an integrable nonlinear PDE in two dimensions. There now exists a general method for analyzing...
On stationary vacuum solutions to the Einstein equations
stationary vacuum the Einstein equations
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2010/11/2
It is proved that the only geodesically complete stationary vacuum solution of the Einstein equations is the empty Minkowski space, or a quotient of it by a discrete group of isometries, generalizing ...
On the structure of solutions to the static vacuum Einstein equations
structure the static vacuum Einstein equations
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2010/11/2
A complete characterization is obtained of the asymptotic behavior of solutions of the static vacuum Einstein equations which have a (pseudo)-compact horizon or boundary and are complete away from th...
Gravitational Solitons and Monodromy Transform Approach to Solution of Integrable Reductions of Einstein Equations
Gravitational Solitons Monodromy Transform Solution
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2010/11/2
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 isometries are consider...