scholarly journals From Euclidean to Lorentzian general relativity: The real way

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

Kleinian characterization of asymptotic symmetries of real general relativity

1993 ◽  
Vol 441 (1913) ◽  
pp. 465-471 ◽  
Keyword(s):  
General Relativity ◽  
Automorphism Group ◽  
Group Action ◽  
Radon Transform ◽  
Symmetry Groups ◽  
Asymptotic Symmetry ◽  
The Real ◽  
The Given ◽  
Asymptotic Symmetries

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.

TESTING GENERAL RELATIVITY BY ASTROMETRIC MEASUREMENTS CLOSE TO JUPITER, THE REAL GAREX- PART II

2008 ◽  
Author(s):  
MARIA TERESA CROSTA ◽  
DANIELE GARDIOL ◽  
MARIO G. LATTANZI ◽  
ROBERTO MORBIDELLI
Keyword(s):  
General Relativity ◽  
The Real

scholarly journals The restoration of the quadrupole light bending

2007 ◽  
Vol 3 (S248) ◽  
pp. 395-396 ◽  
Author(s):  
M. T. Crosta ◽  
D. Gardiol ◽  
M. G. Lattanzi ◽  
R. Morbidelli
Keyword(s):  
General Relativity ◽  
Data Base ◽  
Relativistic Effect ◽  
Error Model ◽  
The Real ◽  
Light Bending ◽  
Oblate Planet

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.

A Simplified Form of the Relativistic Electromagnetic Equations

1952 ◽  
Vol 5 (3) ◽  
pp. 423 ◽  
Author(s):  
NW Taylor
Keyword(s):  
General Relativity ◽  
Field Tensor ◽  
The Real ◽  
Vector Density ◽  
Density Equation ◽  
Simplified Form ◽  
Complex Components

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.

scholarly journals The Gauge Group in the Real Triad Formulation of General Relativity

2000 ◽  
Vol 32 (9) ◽  
pp. 1727-1744 ◽  
Author(s):  
J. M. Pons ◽  
D. C. Salisbury ◽  
L. C. Shepley
Keyword(s):  
General Relativity ◽  
Gauge Group ◽  
The Real

scholarly journals Supergravity Was Discovered by D.V. Volkov and V.A. Soroka in 1973, Wasn’t it?

2019 ◽  
Keyword(s):  
General Relativity ◽  
The Real

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.

A CONJECTURE REGARDING QUANTIZED GRAVITATIONAL THEORY AND THE SIZE OF ELEMENTARY PARTICLES

1967 ◽  
Vol 45 (7) ◽  
pp. 2383-2384 ◽  
Author(s):  
Gerald Rosen
Keyword(s):  
Elementary Particle ◽  
General Relativity ◽  
Quantum Theory ◽  
Gravitational Theory ◽  
Gravitational Energy ◽  
Elementary Particles ◽  
Particle Structure ◽  
The Real ◽  
Physical Universe ◽  
Order Of Magnitude

For the quantum theory of general relativity in the real physical universe with radius of about 1028 cm, the order-of-magnitude analysis in this work leads to a fundamental and characteristic metrical disturbance, with a size of about 10−12 cm. It is possible that such a characteristic metrical disturbance (and the considerable amount of associated gravitational energy) may play an important role in elementary particle structure.

SOME REMARKS ON SPACE-TIME DECOMPOSITIONS, AND DEGENERATE METRICS, IN GENERAL RELATIVITY

1989 ◽  
Vol 04 (20) ◽  
pp. 5527-5538 ◽  
Author(s):  
INGEMAR BENGTSSON
Keyword(s):  
Exact Solution ◽  
General Relativity ◽  
Phase Space ◽  
Space Time ◽  
Canonical Structure ◽  
Degenerate Metric ◽  
The Real ◽  
Time Decomposition ◽  
Simple Phase ◽  
Complex General Relativity

Space-time decomposition of the Hilbert-Palatini action, written in a form which admits degenerate metrics, is considered. Simple numerology shows why D = 3 and 4 are singled out as admitting a simple phase space. The canonical structure of the degenerate sector turns out to be awkward. However, the real degenerate metrics obtained as solutions are the same as those that occur in Ashtekar's formulation of complex general relativity. An exact solution of Ashtekar's equations, with degenerate metric, shows that the manifestly four-dimensional form of the action, and its 3 + 1 form, are not quite equivalent.

scholarly journals The amplitude for classical gravitational scattering at third Post-Minkowskian order

2021 ◽  
Vol 2021 (8) ◽  
Author(s):  
N. Emil J. Bjerrum-Bohr ◽  
Poul H. Damgaard ◽  
Ludovic Planté ◽  
Pierre Vanhove
Keyword(s):  
General Relativity ◽  
Black Hole ◽  
Scattering Amplitude ◽  
Radiation Reaction ◽  
Third Order ◽  
Scattering Angle ◽  
The Real ◽  
Gravitational Scattering

Abstract We compute the scattering amplitude for classical black-hole scattering to third order in the Post-Minkowskian expansion, keeping all terms needed to derive the scattering angle to that order from the eikonal formalism. Our results confirm a conjectured relation between the real and imaginary parts of the amplitude by Di Vecchia, Heissenberg, Russo, and Veneziano, and are in agreement with a recent computation by Damour based on radiation reaction in general relativity.

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