228 research outputs found
Soliton Nature of Equilibrium State of Two Charged Masses in General Relativity
New derivation of static equilibrium state for two charged masses in General
Relativity is given in the framework of the Inverse Scattering Method as an
alternative to our previous derivation of this solution by the Integral
Equation Method. This shows that such solution is of solitonic character and
represents the particular case of more general (12-parametric) stationary
axisymmetric electrovacuum two-soliton solution for two rotating charged
objects obtained by one of the authors in 1986. This result gives an additional
support to our comprehension that the appropriate analytical continuations of
solitonic solutions in the space of their parameters are always possible and
that applicability of the Inverse Scattering Method in presence of
electromagnetic field is not restricted only to the cases with naked
singularities.Comment: 7 pages, RevTeX
Cosmological singularity
The talk at international conference in honor of Ya. B. Zeldovich 95th
Anniversary, Minsk, Belarus, April 2009. The talk represents a review of the
old results and contemporary development on the problem of cosmological
singularity.Comment: to appear in AIP Conference Proceeding
Solution generating in 5D Einstein-Maxwell-dilaton gravity and derivation of dipole black ring solutions
We consider 5D Einstein-Maxwell-dilaton (EMd) gravity in spacetimes with
three commuting Killing vectors: one timelike and two spacelike Killing
vectors, one of which is hypersurface-orthogonal. Assuming a special ansatz for
the Maxwell field we show that the 2-dimensional reduced EMd equations are
completely integrable. We also develop a solution generating method for
explicit construction of exact EMd solutions from known exact solutions of 5D
vacuum Einstein equations with considered symmetries. We derive explicitly the
rotating dipole black ring solutions as a particular application of the
solution generating method.Comment: LaTex, 17 pages; v1 typos corrected, comments added; JHE
Superposition of fields of two rotating charged masses in General Relativity and existence of equilibrium configurations
It is known that two Reissner-Nordstrom black holes or two overextreme
Reissner-Nordstrom sources cannot be in physical equilibrium. In the static
case such equilibrium is possible only if one of the sources is a black hole
and another one is a naked singularity. We define the notion of physical
equilibrium in general (stationary) case when both components of a binary
system are rotating and show that such system containing a Kerr-Newman black
hole and a Kerr-Newman naked singularity also can stay in physical equilibrium.
The similar question about the system of two charged rotating black holes or
two rotating overextreme charged sources still remains open.Comment: 20 pages, no figures. arXiv admin note: substantial text overlap with
arXiv:1211.396
Complete integrability of higher-dimensional Einstein equations with additional symmetry, and rotating black holes
A new derivation of the five-dimensional Myers-Perry black-hole metric as a
2-soliton solution on a non-flat background is presented. It is intended to be
an illustration of how the well-known Belinski-Zakharov method can be applied
to find solutions of the Einstein equations in D-dimensional space-time with
D-2 commuting Killing vectors using the complete integrability of this system.
The method appears also to be promising for the analysis of the uniqueness
questions for higher-dimensional black holes.Comment: 11 page
Superposition of fields of two Reissner - Nordstrom sources
In this paper we present a 5-parametric family of static asymptotically flat
solutions for the superposed gravitational and electromagnetic fields of two
Reissner-Nordstr\"om sources with arbitrary parameters -- masses, charges and
separating distance. A procedure for solving of the linear singular integral
equation form of the electrovacuum Einstein - Maxwell equations for stationary
axisymmetric fields is described in detail. The 4-parametric family of
equilibrium configurations of two Reissner-Nordstr\"om sources (one of which
should be a black hole and another one -- a naked singularity) presented in our
recent paper \cite{Alekseev-Belinski:2007} arises after a restriction of the
parameters of the 5-parametric solution presented here by the equilibrium
condition which provides the absence in the solution of conical points on the
symmetry axis between the sources.Comment: 24 pages, submitted to the Proceedings of the Eleventh Marcel
Grossmann Meeting (Berlin, July 23 - 29, 2006
Integrability of the symmetry reduced bosonic dynamics and soliton generating transformations in the low energy heterotic string effective theory
Integrable structure of the symmetry reduced dynamics of massless bosonic
sector of the heterotic string effective action is presented. For string
background equations that govern in the space-time of dimensions ()
the dynamics of interacting gravitational, dilaton, antisymmetric tensor and
any number of Abelian vector gauge fields, all depending only on two
coordinates, we construct an \emph{equivalent} matrix
spectral problem (). This spectral problem provides the base for the
development of various solution constructing procedures (dressing
transformations, integral equation methods). For the case of the absence of
Abelian gauge fields, we present the soliton generating transformations of any
background with interacting gravitational, dilaton and the second rank
antisymmetric tensor fields. This new soliton generating procedure is available
for constructing of various types of field configurations including stationary
axisymmetric fields, interacting plane, cylindrical or some other types of
waves and cosmological solutions.Comment: 4 pages; added new section on Belinski-Zakharov solitons and new
expressions for calculation of the conformal factor; corrected typo
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