Einstein vs. Maxwell: Is gravitation a curvature of space, a field in
flat space, or both?
by T. M. Nieuwenhuizen
2007 Europhys. Lett. 78
Institute for Theoretical Physics, University of Amsterdam - Valckenierstraat 65, 1018 XE Amsterdam, The Netherlands
Starting with a field theoretic approach in Minkowski space, the
gravitational energy momentum tensor is derived from the Einstein
equations in a straightforward manner. This allows to present them as acceleration tensor = const. × total energy momentum tensor.
For flat space cosmology the gravitational energy cancels the material
energy. In the relativistic theory of gravitation a bimetric coupling
between the Riemann and Minkowski metrics breaks general coordinate
invariance. The case of a positive cosmological constant is considered.
A singularity free version of the Schwarzschild black hole is solved
analytically. In the interior the components of the metric tensor
quickly die out, but do not change sign, leaving the role of time as
usual. For cosmology the ΛCDM model is covered, while there appears a
form of inflation at early times. Here both the total energy and the
zero point energy vanish.
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