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Some peculiarities of motion of neutral and charged test particles in the field of a spherically symmetric charged object in General Relativity
Motions classification Mass potential Stability conditions
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2010/12/20
We propose the method of investigation of radial motions for charged and neutral test particles in the Reissner-Nordstr¨om field by means of mass potential. In this context we analyze special features...
On some models of geometric noncommutative general relativity
geometric noncommutative general relativity
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2010/12/22
Using Fedosov theory of deformation quantization of endomorphism bundle we construct several models of pure geometric, deformed vacuum gravity. Deformations of Einstein-Hilbert and Palatini actions ar...
Isometric group of $(\alpha,\beta)$-type Finsler space and the symmetry of Very Special Relativity
Very Special Relativity Finsler space
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2010/3/17
The Killing equation for a general Finsler space is set up. It is showed that the Killing equation of $(\alpha,\beta)$ space can be divided into two parts. One is the same with Killing equation of a R...
Coarse-graining of inhomogeneous dust flow in General Relativity via isometric embeddings
inhomogeneous dust flow isometric embeddings
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2010/3/17
We present a new approach to coarse-graining of variables describing dust flow in GR. It is based on assigning quasi-local shear, twist and expansion to 2-dimensional surfaces with the help of isometr...
Tilted Bianchi Type I dust fluid magnetized cosmological model in general relativity
Bianchi type I dust fluid tilted models
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2010/4/8
Tilted Bianchi Type I perfect fluid cosmological model in presence of magnetic field is investigated. To get a determinate solution, we assume p = 0 and A = BC, where A, B and C are metric potentials....