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

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

2008-01-23

arxiv.org/abs/0801.3683v2

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

7 pages, 3 figures; accepted for publication in Gen. Rel. Grav

Scientific paper

10.1007/s10714-008-0686-5

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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