Matrix Theory of Gravitation

Details Matrix Theory of Gravitation Matrix Theory of Gravitation

Aug 2010

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2010gfz..rept....1k&link_type=abstract

GFZ document, 2010, 26 pages

Computer Science

Scientific paper

A 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 (sec. 4.1). For the standard test cases (PPN scheme, Schwarzschild-solution) no differences to the Einstein-theory are found. However, the matrix theory exhibits novel, interesting vacuum solutions.

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