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Theories of gravitation with nonminimal coupling of matter and the gravitational field

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Abstract

The foundations of a theory of nonminimal coupling of matter and the gravitational field in the framework of Riemannian (or Riemann-Cartan) geometry are presented. In the absence of matter, the Einstein vacuum field equations hold. In order to allow for a Newtonian limit, the theory contains a new parameter l0 of dimension length. For systems with finite total mass, l0 is set equal to the Schwarzschild radius.

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Goenner, H.F.M. Theories of gravitation with nonminimal coupling of matter and the gravitational field. Found Phys 14, 865–881 (1984). https://doi.org/10.1007/BF00737554

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