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- Title
Matrix theory of gravitation.
- Authors
Köhler, Wolfgang
- Abstract
new classical theory of gravitation within the framework of general relativity is presented. It is based on a matrix formulation of four-dimensional Riemann-spaces and uses no artificial fields or adjustable parameters. The geometrical stress-energy tensor is derived from a matrix-trace Lagrangian, which is not equivalent to the curvature scalar R. To enable a direct comparison with the Einstein-theory a tetrad formalism is utilized, which shows similarities to teleparallel gravitation theories, but uses complex tetrads. Matrix theory might solve a 27-year-old, fundamental problem of those theories (Sect. 4.1). For the standard test cases (PPN scheme, Schwarz schild-solution) no differences to the Einstein-theory are found. However, the matrix theory exhibits novel, interesting vacuum solutions.
- Subjects
GRAVITY; RIEMANN integral; GEOMETRY; LAGRANGE equations; MATRICES (Mathematics)
- Publication
General Relativity & Gravitation, 2011, Vol 43, Issue 6, p1787
- ISSN
0001-7701
- Publication type
Article
- DOI
10.1007/s10714-011-1158-x