scholarly journals ELECTROMAGNETIC EFFECTS IN SUPERCONDUCTORS IN STATIONARY GRAVITATIONAL FIELD

2005 ◽  
Vol 14 (05) ◽  
pp. 837-847 ◽  
Author(s):  
B. J. AHMEDOV ◽  
V. G. KAGRAMANOVA
Keyword(s):  
Gravitational Field ◽  
Magnetic Flux ◽  
Superconducting Devices ◽  
Resistive State ◽  
Superconducting Cylinder ◽  
Inertial Frames ◽  
Radial Heat ◽  
General Relativistic ◽  
Shift Effect ◽  
Stationary Gravitational Field

The general relativistic modifications to the resistive state in superconductors of second type in the presence of a stationary gravitational field are studied. Some superconducting devices that can measure the gravitational field by its red-shift effect on the frequency of radiation are suggested. It has been shown that by varying the orientation of a superconductor with respect to the earth gravitational field, a corresponding varying contribution to AC Josephson frequency would be added by gravity. A magnetic flux (being proportional to angular velocity of rotation Ω) through a rotating hollow superconducting cylinder with the radial gradient of temperature ∇rT is theoretically predicted. The magnetic flux is assumed to be produced by the azimuthal current arising from Coriolis force effect on radial thermoelectric current. Finally the magnetic flux through the superconducting ring with radial heat flow located at the equatorial plane interior of the rotating neutron star is calculated. In particular it has been shown that nonvanishing magnetic flux will be generated due to the general relativistic effect of dragging of inertial frames on the thermoelectric current.

QUASI-STATIONARY ELECTROMAGNETIC EFFECTS IN CONDUCTORS AND SUPERCONDUCTORS IN SCHWARZSCHILD SPACE–TIME

2005 ◽  
Vol 14 (05) ◽  
pp. 817-835 ◽  
Author(s):  
B. J. AHMEDOV ◽  
F. J. FATTOYEV
Keyword(s):  
Magnetic Field ◽  
Gravitational Field ◽  
Neutron Stars ◽  
Penetration Depth ◽  
Skin Effect ◽  
Outer Core ◽  
Point Of View ◽  
Time Dependent ◽  
General Relativistic ◽  
Stationary Gravitational Field

The general principles needed to compute the effect of a stationary gravitational field on the quasistationary electromagnetic phenomena in normal conductors and superconductors are formulated from general relativistic point of view. Generalization of the skin effect, that is the general relativistic modification of the penetration depth (of the time-dependent magnetic field in the conductor) due to its relativistic coupling to the gravitational field is obtained. The effect of the gravitational field on the penetration and coherence depths in superconductors is also studied. As an illustration of the foregoing general results, we discuss their application to superconducting systems in the outer core of neutron stars. The relevance of these effects to electrodynamics of magnetized neutron stars has been shown.

scholarly journals ELECTROMAGNETIC FIELDS OF CHARGED AND MAGNETIZED CYLINDRICAL CONDUCTORS IN NUT SPACE

2005 ◽  
Vol 14 (03n04) ◽  
pp. 687-695 ◽  
Author(s):  
B. J. AHMEDOV ◽  
A. V. KHUGAEV ◽  
N. I. RAKHMATOV
Keyword(s):  
Magnetic Field ◽  
Gravitational Field ◽  
Electromagnetic Fields ◽  
Electric Charge ◽  
Maxwell Equations ◽  
Analytic Solutions ◽  
Vertical Magnetic Field ◽  
General Relativistic ◽  
Azimuthal Current ◽  
Cylindrical Conductors

We present analytic solutions of Maxwell equations for infinitely long cylindrical conductors with nonvanishing electric charge and currents in the external background spacetime of a line gravitomagnetic monopole. It has been shown that vertical magnetic field arising around cylindrical conducting shell carrying azimuthal current will be modified by the gravitational field of NUT source. We obtain that the purely general relativistic magnetic field which has no Newtonian analog will be produced around charged gravitomagnetic monopole.

scholarly journals General Relativistic Description of Celestial Reference Frames

1990 ◽  
Vol 141 ◽  
pp. 111-114
Author(s):  
A. V. Voinov
Keyword(s):  
Reference Frames ◽  
Reference Systems ◽  
Practical Application ◽  
Theoretical Methods ◽  
Relativistic Transformation ◽  
The Earth ◽  
Inertial Frames ◽  
General Relativistic ◽  
Relativistic Description ◽  
Transformation Functions

The astonomical consequences of recently developed theoretical methods of relativistic astrometry are discussed. The set of practically important reference systems is described. These reference systems generalize the locally inertial frames of general relativistic test observer, the hierarchy of Jacoby coordinates for dynamical problems and the dynamically inertial reference systems of fundamental astrometry. In practical application of this formalism much attention is paid for relativistic transformation functions relating the ∗∗ecliptical coordinates corresponding to the baryecnters of the Solar system, the Earth-Moon subsystem and the Earth. Solutions to several kinds of relativistic precession are also presented.

scholarly journals Generalized Van der Waals Equation for Liquid-Vapor Equilibria in a Stationary Gravitational Field

2021 ◽  
Vol 11 (01) ◽  
pp. 1-11
Author(s):  
Makokiyu Godlove Akumbom ◽  
Georges Collince Fouokeng ◽  
Martin Tchoffo ◽  
Lukong Cornelius Fai
Keyword(s):  
Gravitational Field ◽  
Van Der Waals ◽  
Van Der Waals Equation ◽  
Stationary Gravitational Field ◽  
Liquid Vapor

scholarly journals New solution generating algorithm for isotropic static Einstein-Gauss-Bonnet metrics

2021 ◽  
Vol 81 (12) ◽  
Author(s):  
Sunil D. Maharaj ◽  
Sudan Hansraj ◽  
Parbati Sahoo
Keyword(s):  
Differential Equation ◽  
Exact Solution ◽  
Gravitational Field ◽  
Stellar Structure ◽  
Physical Analysis ◽  
Elementary Functions ◽  
Gravitational Field Equation ◽  
New Exact Solutions ◽  
General Relativistic ◽  
Isotropy Condition

AbstractThe static isotropic gravitational field equation, governing the geometry and dynamics of stellar structure, is considered in Einstein–Gauss–Bonnet (EGB) gravity. This is a nonlinear Abelian differential equation which generalizes the simpler general relativistic pressure isotropy condition. A gravitational potential decomposition is postulated in order to generate new exact solutions from known solutions. The conditions for a successful integration are examined. Remarkably we generate a new exact solution to the Abelian equation from the well known Schwarzschild interior seed metric. The metric potentials are given in terms of elementary functions. A physical analysis of the model is performed in five and six spacetime dimensions. It is shown that the six-dimensional case is physically more reasonable and is consistent with the conditions restricting the physics of realistic stars.

General Relativistic Electrodynamics and Pulsar Theory

1996 ◽  
Vol 160 ◽  
pp. 417-420
Author(s):  
L. Mestel
Keyword(s):  
Charge Density ◽  
Inertial Frames ◽  
General Relativistic ◽  
Relativistic Electrodynamics

AbstractMuslimov & Tsygan (1986, 1990, 1991, 1992) have shown how the dragging of inertial frames modifies the Goldreich-Julian charge density. The consequences are noted for different models of the electron outflow near the neutron star’s surface.

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