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Problems in field theoretical approach to gravitation

A. I. Nikishov
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Abstract

We consider gravitational self interaction in the lowest approximation and assume that graviton interacts with gravitational energy-momentum tensor in the same way as it interacts with particles. We show that, using gravitational vertex with a preferred gravitational energy-momentum tensor, it is possible to obtain a metric necessary for explaining perihelion precession. The preferred gravitational energy-momentum tensor gives positive gravitational energy density of Newtonian center. We show also that, employing "improvement" technique, any gravitational energy-momentum tensor can be made suitable for using in gravitational wave equation for obtaining metric which explains perihelion precession. Yet the "improvement" leads to negative gravitational energy density of the Newtonian center.

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A. I. Nikishov. 2004-10-20. Problems in field theoretical approach to gravitation. https://arxiv.org/abs/gr-qc/0410099

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