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Experimentally obtaining metrics in general relativity
A F F Teixeira
It seems to be not well known that the metrics of general relativity (GR) can be obtained without integrating Einstein equations. To that, we need only define a unit for GR-interva…
Taub, Rindler, and the static plate
A F F Teixeira
An infinite 3D plate of homogeneous incompressible fluid is considered, with finite thickness, together with a 2D infinite homogeneous mass in its centre. Einstein equations are ex…
Cosmic crystallography: the hyperbolic isometries
A. F. F. Teixeira
All orientation preserving isometries of the hyperbolic three-space are studied, and the probability density of conjugate pair separations for each isometry is presented. The study…
Cosmic crystallography in a circle
A. F. F. Teixeira
In a circle (an S^1) with circumference 1 assume m objects distributed pseudo-randomly. In the universal covering R^1 assume the objects replicated accordingly, and take an interva…
Cosmic crystallography: the euclidean isometries
A. Bernui, A. F. F. Teixeira
Exact expressions for probability densities of conjugate pair separation in euclidean isometries are obtained, for the cosmic crystallography.These are the theoretical counterparts…