15,528 research outputs found
Static cylindrical symmetry and conformal flatness
We present the whole set of equations with regularity and matching conditions
required for the description of physically meaningful static cylindrically
symmmetric distributions of matter, smoothly matched to Levi-Civita vacuum
spacetime. It is shown that the conformally flat solution with equal principal
stresses represents an incompressible fluid. It is also proved that any
conformally flat cylindrically symmetric static source cannot be matched
through Darmois conditions to the Levi-Civita spacetime. Further evidence is
given that when the Newtonian mass per unit length reaches 1/2 the spacetime
has plane symmetry.Comment: 13 pages, Late
New Charged Dilaton Solutions in 2+1 Dimensions and Solutions with Cylindrical Symmetry in 3+1 Dimensions
We report a new family of solutions to Einstein-Maxwell-dilaton gravity in
2+1 dimensions and Einstein-Maxwell gravity with cylindrical symmetry in 3+1
dimensions. A set of static charged solutions in 2+1 dimensions are obtained by
a compactification of charged solutions in 3+1 dimensions with cylindrical
symmetry. These solutions contain naked singularities for certain values of the
parameters considered. New rotating charged solutions in 2+1 dimensions and 3+1
dimensions are generated treating the static charged solutions as seed metrics
and performing transformations.Comment: Latex. No figure
The Dirac-Maxwell Equations with Cylindrical Symmetry
A reduction of the Dirac-Maxwell equations in the case of static cylindrical
symmetry is performed. The behaviour of the resulting system of o.d.e.'s is
examined analytically and numerical solutions presented. There are two classes
of solutions.
The first type of solution is a Dirac field surrounding a charged "wire". The
Dirac field is highly localised, concentrated in cylindrical shells about the
wire. A comparison with the usual linearized theory demonstrates that this
localization is entirely due to the non-linearities in the equations which
result from the inclusion of the "self-field".
The second class of solutions have the electrostatic potential finite along
the axis of symmetry but unbounded at large distances from the axis.Comment: 17 pages, Latex, 5 figures, psfig, to be published in J. Maths Phy
Ginzburg Landau theory for d-wave pairing and fourfold symmetric vortex core structure
The Ginzburg Landau theory for d_{x^2-y^2}-wave superconductors is
constructed, by starting from the Gor'kov equation with including correction
terms up to the next order of ln(T_c/T). Some of the non-local correction terms
are found to break the cylindrical symmetry and lead to the fourfold symmetric
core structure, reflecting the internal degree of freedom in the pair
potential. Using this extended Ginzburg Landau theory, we investigate the
fourfold symmetric structure of the pair potential, current and magnetic field
around an isolated single vortex, and clarify concretely how the vortex core
structure deviates from the cylindrical symmetry in the d_{x^2-y^2}-wave
superconductors.Comment: 12 pages including 8 eps figs, LaTeX with jpsj.sty & epsfi
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