Establishing the Riemannian structure of space‐time by means of light rays and free matter waves

1991 ◽  
Vol 32 (8) ◽  
pp. 2099-2105 ◽  
Author(s):  
Jürgen Audretsch ◽  
Claus Lämmerzahl
Keyword(s):  
Space Time ◽  
Riemannian Structure ◽  
Matter Waves ◽  
Light Rays

scholarly journals Wave Fronts in a Causality-Violating Gödel-Type Metric

2020 ◽  
Vol 2020 ◽  
pp. 1-13
Author(s):  
Thomas P. Kling ◽  
Faizuddin Ahmed ◽  
Megan Lalumiere
Keyword(s):  
Wave Front ◽  
Space Time ◽  
Wave Fronts ◽  
Light Rays ◽  
Synchronized Clocks

The light rays and wave fronts in a linear class of the Gödel-type metric are examined to reveal the causality-violating features of the space-time. Noncausal features demonstrated by the development of unusual wave front singularities are shown to be related to the nonmonotonic advance of time along the light rays, as measured by a system of observers at rest with respect to one another with synchronized clocks.

General relativity in terms of a background space

1963 ◽  
Vol 276 (1366) ◽  
pp. 413-417 ◽  
Keyword(s):  
General Relativity ◽  
Euclidean Space ◽  
Test Particle ◽  
Space Time ◽  
Red Shift ◽  
Schwarzschild Metric ◽  
Background Space ◽  
Light Rays ◽  
Theory Of Gravitation

R. d’E. Atkinson has shown that the path of a test particle, the light rays and the gravitational red shift predicted by general relativity for the case of the Schwarzschild metric may all be interpreted in terms of Euclidean space. By introducing the concept of a background space it is shown that Atkinson’s interpretation may be extended for the case of any finite static gravitating system. It is pointed out that the interpretation is applicable to any theory of gravitation in which the path of a test particle and the light rays are geodesics of the space-time metric.

scholarly journals Refocusing of light rays in space-time

2011 ◽  
Vol 52 (5) ◽  
pp. 052505 ◽  
Author(s):  
Paul A. Kinlaw
Keyword(s):  
Space Time ◽  
Light Rays

scholarly journals GAUGE FIELDS ON RIEMANN-CARTAN SPACE-TIMES

1994 ◽  
Vol 09 (11) ◽  
pp. 971-981 ◽  
Author(s):  
ALBERTO SAA
Keyword(s):  
Invariant Theory ◽  
Differential Forms ◽  
Space Time ◽  
Gauge Fields ◽  
Riemannian Structure ◽  
Minimal Coupling ◽  
Gauge Invariant ◽  
Exterior Calculus ◽  
Coupling Procedure ◽  
Action Formulation

Gauge fields are described on a Riemann-Cartan space-time by means of tensor-valued differential forms and exterior calculus. It is shown that minimal coupling procedure leads to a gauge invariant theory where gauge fields interact with torsion, and that consistency conditions for the gauge fields impose restrictions in the non-Riemannian structure of space-time. The new results differ from the well established ones obtained by using minimal coupling procedure at the action formulation. The sources of these differences are pointed out and discussed.

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