20 research outputs found
Charged Rotating Black Holes in Equilibrium
Axially symmetric, stationary solutions of the Einstein-Maxwell equations
with disconnected event horizon are studied by developing a method of explicit
integration of the corresponding boundary-value problem. This problem is
reduced to non-leaner system of algebraic equations which gives relations
between the masses, the angular momenta, the angular velocities, the charges,
the distance parameters, the values of the electromagnetic field potential at
the horizon and at the symmetry axis. A found solution of this system for the
case of two charged non-rotating black holes shows that in general the total
mass depends on the distance between black holes. Two-Killing reduction
procedure of the Einstein-Maxwell equations is also discussed.Comment: LaTeX 2.09, no figures, 15 pages, v2, references added, introduction
section slightly modified; v3, grammar errors correcte
Equilibrium Configuration of Black Holes and the Inverse Scattering Method
The inverse scattering method is applied to the investigation of the
equilibrium configuration of black holes. A study of the boundary problem
corresponding to this configuration shows that any axially symmetric,
stationary solution of the Einstein equations with disconnected event horizon
must belong to the class of Belinskii-Zakharov solutions. Relationships between
the angular momenta and angular velocities of black holes are derived.Comment: LaTeX, 14 pages, no figure
On the physical parametrization and magnetic analogs of the Emparan-Teo dihole solution
The Emparan-Teo non-extremal black dihole solution is reparametrized using
Komar quantities and the separation distance as arbitrary parameters. We show
how the potential can be calculated for the magnetic analogs of this
solution in the Einstein-Maxwell and Einstein-Maxwell-dilaton theories. We also
demonstrate that, similar to the extreme case, the external magnetic field can
remove the supporting strut in the non-extremal black dihole too.Comment: 9 pages, 1 figur
Long-Time Asymptotics for the Korteweg-de Vries Equation via Nonlinear Steepest Descent
We apply the method of nonlinear steepest descent to compute the long-time
asymptotics of the Korteweg-de Vries equation for decaying initial data in the
soliton and similarity region. This paper can be viewed as an expository
introduction to this method.Comment: 31 page