2,528 research outputs found
Infinite hierarchies of exact solutions of the Einstein and Einstein-Maxwell equations for interacting waves and inhomogeneous cosmologies
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 potentials. This hierarchy contains three
arbitrary rational functions of an auxiliary complex parameter. They are
constructed using the so called `monodromy transform' approach and our new
method for the solution of the linear singular integral equation form of the
reduced Einstein equations. The solutions presented, which describe
inhomogeneous cosmological models or gravitational and electromagnetic waves
and their interactions, include a number of important known solutions as
particular cases.Comment: 7 pages, minor correction and reduction to conform with published
versio
Accuracy of one-dimensional collision integral in the rigid spheres approximation
The accuracy of calculation of spectral line shapes in one-dimensional
approximation is studied analytically in several limiting cases for arbitrary
collision kernel and numerically in the rigid spheres model. It is shown that
the deviation of the line profile is maximal in the center of the line in case
of large perturber mass and intermediate values of collision frequency. For
moderate masses of buffer molecules the error of one-dimensional approximation
is found not to exceed 5%.Comment: LaTeX, 24 pages, 8 figure
D-branes with Lorentzian signature in the Nappi-Witten model
Lorentzian signature D-branes of all dimensions for the Nappi-Witten string
are constructed. This is done by rewriting the gluing condition for
the model chiral currents on the brane as a well posed first order differential
problem and by solving it for Lie algebra isometries other than Lie algebra
automorphisms. By construction, these D-branes are not twined conjugacy
classes. Metrically degenerate D-branes are also obtained.Comment: 22 page
Electron paramagnetic resonance, acoustic EPR, and spontaneous spin-lattice relaxation at low temperatures
The effect of the coherent properties of the exciting field on the rate of spin-lattice relaxation is evaluated. It is shown that at low temperatures and high transverse components of the magnetic and elastic multipoles, relaxation is basically controlled by the interaction with the lattice of transverse oscillating components of the magnetization (or elastic moment), developing from interaction of the spin system with the changing field. © 1975 Plenum Publishing Corporation
Fully Electrified Neugebauer Spacetimes
Generalizing a method presented in an earlier paper, we express the complex
potentials E and Phi of all stationary axisymmetric electrovac spacetimes that
correspond to axis data of the form E(z,0) = (U-W)/(U+W) , Phi(z,0) = V/(U+W) ,
where U = z^{2} + U_{1} z + U_{2} , V = V_{1} z + V_{2} , W = W_{1} z + W_{2} ,
in terms of the complex parameters U_{1}, V_{1}, W_{1}, U_{2}, V_{2} and W_{2},
that are directly associated with the various multipole moments. (Revised to
clarify certain subtle points.)Comment: 25 pages, REVTE
Curved Membrane Solutions in D=11 Supergravity
We present a class of static membrane solutions, with non-flat worldvolume
geometry, in the eleven dimensional supergravity with source terms. This class
of solutions contains supersymmetric as well as a large class of
non-supersymmetric configurations. We comment about near horizon limit and
stability of these solutions and point out an interesting relation with certain
two dimensional dilaton gravity system.Comment: 16 pages, latex, to appear in IJMP A; acknowledgement and references
adde
Some problems in the study of the chronology of the ancient nomadic cultures in Eurasia (9th - 3rd centuries BC)
This research is focused on the chronological investigations of ancient nomads belonging to the Scythian cultures which occupied the steppe and forest-steppe zones of Eurasia during the 9th-3rd centuries BC. The 14C dates for the pre-scythian and early scythian time in both Europe and Asia are presented and compared to their chronological position based on archaeological evidence. The first 14C dates have been produced for the Scythian time monuments located in the Lower Volga River basin, Urals and Transurals regions. Their chronological positions are compared with the position of the monuments of Southern Siberia and Central Asia. It was shown that the nomadic cultures belonging to the Scythian culture began to exist over the wide territory of Eurasia from the 9th-8th centuries cal BC and there are some monuments which may be synchronous to the Arzhan royal barrow (the oldest monument known). A list of new 14C dates and a map of the monuments are presented
A chronology of the Scythian antiquities of Eurasia based on new archaeological and C-14 data
The paper is compares the chronology of the monuments of the Scythian epoch located in the east and west of the Eurasian steppe zone on the basis of both archaeological and radiocarbon data. The lists of C-14 dates for the monuments located in different parts of Eurasia are presented according to the periods of their existence. Generally, the C-14 dates are confirmed the archaeological point of view and allow us to compare the chronological position of the European and Asian Scythian monuments on the united C-14 time scale
Reciprocal transformations of Hamiltonian operators of hydrodynamic type: nonlocal Hamiltonian formalism for linearly degenerate systems
Reciprocal transformations of Hamiltonian operators of hydrodynamic type are
investigated. The transformed operators are generally nonlocal, possessing a
number of remarkable algebraic and differential-geometric properties. We apply
our results to linearly degenerate semi-Hamiltonian systems in Riemann
invariants. Since all such systems are linearizable by appropriate
(generalized) reciprocal transformations, our formulae provide an infinity of
mutually compatible nonlocal Hamiltonian structures, explicitly parametrized by
arbitrary functions of one variable.Comment: 26 page
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