458 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
On the existence of black hole evaporation yet again
A new argument is presented confirming the point of view that a Schwarzschild
black hole formed during a collapse process does not radiate
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
On the cosmological singularity
The long story of the oscillatory approach to the initial cosmological
singularity and its more recent incarnation in multidimensional universe models
is told.Comment: The invited paper for Proceedings of the XIII Marcel Grossmann
Meeting (Stockholm, 2012) by reason of the Marcel Grossmann Award to V.A.
Belinski and I.M. Khalatniko
On the integrable gravity coupled to fermions
In the present letter we indicate an extension of the pure gravity inverse
scattering integration technique to the case when fermions (introduced on the
base of supersymmetry) are present. In this way the integrability technique for
simple () supergravity in two space-time dimensions coupled to the matter
fields taking values in the Lie algebra of group is
developed. This theory contains matter living only in one Weyl representation
of and represents the reduction to two dimensions of the
three-dimensional simple supergravity constructed in [1].
Our spectral linear problem use superspace and covers the complete set of
principal bosonic and fermionic equations of motion. This linear system, as in
pure gravity, contains only the first order poles with respect to the spectral
parameter. The procedure of constructing the exact super-solitonic solutions is
outlined.Comment: Version 1611.02924v1 was withdrawn due to groundless assumption on
the existence of the relation (43). In footnote 7 it was stressed that its
proof remains to be seen. Analysis showed that such relation indeed is
doubtful. Then the extension of the pure gravity inverse scattering method to
superspace surely can cover only the simple integrable supergravity with
E8(8) symmetr
On Tunnelling Through the Black Hole Horizon
It is shown here that there is no way for particle creation to occur by
quantum tunneling through an infinitesimal neighborhood of the black hole
horizon. This result is a trivial consequence of the regularity of the horizon,
the equivalence principle and the general covariance of the relativistic theory
of gravity. Moreover, we also confirm the less trivial statement that no
particle creation by quantum tunneling through the black hole horizon is
possible independent of the size of the presupposed tunneling domain.Comment: 21 pages, new section is adde
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
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
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