Timelike geodesic motions within the general relativistic gravitational field of the rigidly rotating disk of dust

1998 ◽  
Vol 39 (11) ◽  
pp. 5984-6000 ◽  
Author(s):  
M. Ansorg
Keyword(s):  
Gravitational Field ◽  
Rotating Disk ◽  
Timelike Geodesic ◽  
General Relativistic

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.

The General Theory of Relativity

2017 ◽  
Author(s):  
Hanoch Gutfreund ◽  
Jürgen Renn
Keyword(s):  
General Relativity ◽  
Gravitational Field ◽  
General Theory ◽  
Reference Frames ◽  
Mathematical Formulation ◽  
Rotating Disk ◽  
Theory Of Relativity ◽  
Relativity Principle ◽  
Non Euclidean Geometry ◽  
Physical Laws

This chapter shows how Einstein has developed and described the mathematical apparatus that is necessary to formulate the physical contents of the general theory of gravity. It first discusses the transition from the special to the general relativity principle. According to Einstein's understanding of such a general relativity principle, physical laws are independent of the state of motion of the reference space in which they are described. The chapter argues that such a generalization of the relativity principle to include accelerated reference frames is possible because all inertial effects caused by acceleration can be alternatively attributed to the presence of a gravitational field. The model of a rotating disk is then used to show that general relativity implies non-Euclidean geometry and that the gravitational field is represented by curved spacetime. After the introduction of these basic concepts and principles, the chapter presents the mathematical formulation of the theory.

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.

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.

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