A Simplified Form of the Relativistic Electromagnetic Equations

1952 ◽  
Vol 5 (3) ◽  
pp. 423 ◽  
Author(s):  
NW Taylor

It is shown how Maxwell's electromagnetic equations in General Relativity may be expressed in the form of a single four-vector density equation, in which the field tensor has only three distinct complex components. The number of equations is reduced, but all the usual classical formulae may be obtained by separating the real and imaginary parts.

1953 ◽  
Vol 6 (1) ◽  
pp. 1 ◽  
Author(s):  
NW Taylor

It is shown how the general relativistic electromagnetic equations for a material medium can be expressed in the form of a single four-vector density equation. The field tensor has six different complex components instead of three, as in the case of a, free medium. The classical equations are obtained by separating the real and imaginary parts.


According to Klein’s Erlanger programme, one may (indirectly) specify a geometry by giving a group action. Conversely, given a group action, one may ask for the corresponding geometry. Recently, I showed that the real asymptotic symmetry groups of general relativity (in any signature) have natural ‘projective’ classical actions on suitable ‘Radon transform’ spaces of affine 3-planes in flat 4-space. In this paper, I give concrete models for these groups and actions. Also, for the ‘atomic’ cases, I give geometric structures for the spaces of affine 3-planes for which the given actions are the automorphism group.


Author(s):  
MARIA TERESA CROSTA ◽  
DANIELE GARDIOL ◽  
MARIO G. LATTANZI ◽  
ROBERTO MORBIDELLI
Keyword(s):  

2007 ◽  
Vol 3 (S248) ◽  
pp. 395-396 ◽  
Author(s):  
M. T. Crosta ◽  
D. Gardiol ◽  
M. G. Lattanzi ◽  
R. Morbidelli

AbstractThe ESA astrometric mission Gaia will be able to put to test General Relativity thanks to differential astrometric measurements. The differential experiment, GAREX, implemented in the form of repeated Eddington-like measurement, aims at measuring the quadrupole light bending due to an oblate planet by comparing the evolution of relative distances in stellar fields in the vicinity of it. Simulations which utilize (i) selected fields extracted from the GSCII data base, (ii) a realistic error model as function of the star's magnitude and distance from Jupiter's edge, show the real best scenarios and how to improve the Gaia ability to detect this relativistic effect.


2000 ◽  
Vol 32 (9) ◽  
pp. 1727-1744 ◽  
Author(s):  
J. M. Pons ◽  
D. C. Salisbury ◽  
L. C. Shepley

Keyword(s):  

Supergravity is a remarkable theory combining supersymmetry and general relativity. While the theory has many developers from across the globe, we wish to address the question who were the real originators of this fantastic idea.


2015 ◽  
Vol 6 (1) ◽  
pp. 20-26 ◽  
Author(s):  
Ivransa Zuhdi Pane

Software prototype is a simplified form of the real software which is developed to assist the upstream engineering activities. Developing the prototype is especially of importance in gathering the requirement and modeling the main functionalities of the software. Among tools available to prototype the software, Microsoft Excel, with its advantageous spreadsheet features and considerable popularity, is worthy to be considered as an alternative candidate. Several case studies are explored to show the usefulness of Microsoft Excel as a prospective tool in prototyping the visual softwares. Index Terms - prototype, software engineering, visual software.


1996 ◽  
Vol 54 (2) ◽  
pp. 1492-1499 ◽  
Author(s):  
J. Fernando Barbero G.
Keyword(s):  

2021 ◽  
Vol 68 (1 Jan-Feb) ◽  
Author(s):  
Sergio Giardino

From a previous paper where we proposed a description of general relativity within the gravito-electromagnetic limit, we propose an alternative modified gravitational theory. As in the former version, we analyze the vector and tensor equations of motion, the gravitational continuity equation, the conservation of the energy, the energy-momentum tensor, the field tensor, and the constraints concerning these fields. The Lagrangian formulation is also exhibited as an unified and simple formulation that will be useful for future investigation.


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