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Keywords
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General Relativity
Matrix Theory
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Matrix theory of gravitation
Matrix theory of gravitation,10.1007/s107140111158x,General Relativity and Gravitation,Wolfgang Köhler
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Matrix theory of gravitation
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Wolfgang Köhler
A new classical theory of gravitation within the framework of
general relativity
is presented. It is based on a matrix formulation of fourdimensional Riemannspaces and uses no artificial fields or adjustable parameters. The geometrical stressenergy tensor is derived from a matrixtrace Lagrangian, which is not equivalent to the curvature scalar R. To enable a direct comparison with the Einsteintheory a tetrad formalism is utilized, which shows similarities to teleparallel gravitation theories, but uses complex tetrads.
Matrix theory
might solve a 27yearold, fundamental problem of those theories (Sect. 4.1). For the standard test cases (PPN scheme, Schwarz schildsolution) no differences to the Einsteintheory are found. However, the
matrix theory
exhibits novel, interesting vacuum solutions.
Journal:
General Relativity and Gravitation  GEN RELATIV GRAVIT
, vol. 43, no. 6, pp. 17871825, 2011
DOI:
10.1007/s107140111158x
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Published in 2005.