On the Stress Tensor for Asymptotically Flat Gravity

Details On the Stress Tensor for Asymptotically Flat Gravity On the Stress Tensor for Asymptotically Flat Gravity

2008-04-13

arxiv.org/abs/0804.2079v1

Class.Quant.Grav.25:225019,2008

Physics

High Energy Physics

High Energy Physics - Theory

31 pages, no figure

Scientific paper

10.1088/0264-9381/25/22/225019

The recent introduction of a boundary stress tensor for asymptotically flat spacetimes enabled a new construction of energy, momentum, and Lorentz charges. These charges are known to generate the asymptotic symmetries of the theory, but their explicit formulas are not identical to previous constructions in the literature. This paper corrects an earlier comparison with other approaches, including terms in the definition of the stress tensor charges that were previously overlooked. We show that these terms either vanish identically (for d > 4) or take a form that does not contribute to the conserved charges (for d=4). This verifies the earlier claim that boundary stress tensor methods for asymptotically flat spacetimes yield the same conserved charges as other approaches. We also derive some additional connections between the boundary stress tensor and the electric part of the Weyl tensor.

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