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arXiv · 0801.3683

Observer dependence of the quasi-local energy and momentum in Schwarzschild space-time

P. P. Yu·R. R. Caldwell
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Abstract

The observer dependence of the quasi-local energy (QLE) and momentum in the Schwarzschild geometry is illustrated. Using the Brown-York prescription, the QLE for families of non-geodesic and geodesic observers penetrating the event horizon is obtained. An explicit shell-building process is presented and the binding energy is computed in terms of the QLE measured by a static observer field at a radius outside the horizon radius. The QLE for a radially geodesic observer field freely-falling from infinity is shown to vanish. Finally, a simple relation for the dynamics of the quasi-local momentum density for a geodesic observer field is noted.

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P. P. Yu, R. R. Caldwell. 2008-01-23. Observer dependence of the quasi-local energy and momentum in Schwarzschild space-time. https://doi.org/10.1007/s10714-008-0686-5

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