On the parameterization dependence of the energy momentum tensor and the metric

Details On the parameterization dependence of the energy momentum tensor and the metric On the parameterization dependence of the energy momentum tensor and the metric

2006-10-19

arxiv.org/abs/gr-qc/0610096v1

Phys.Rev.D75:108502,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

8 pages, 2 figures

Scientific paper

10.1103/PhysRevD.75.108502

We use results by Kirilin to show that in general relativity the nonleading terms in the energy-momentum tensor of a particle depends on the parameterization of the gravitational field. While the classical metric that is calculated from this source, used to define the leading long-distance corrections to the metric, also has a parameteriztion dependence, it can be removed by a coordinate change. Thus the classical observables are parameterization independent. The quantum effects that emerge within the same calculation of the metric also depend on the parameterization and a full quantum calculation requires the inclusion of further diagrams. However, within a given parameterization the quantum effects calculated by us in a previous paper are well defined. Flaws of Kirilin's proposed alternate metric definition are described and we explain why the diagrams that we calculated are the appropriate ones.

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