ar X iv : g r - qc / 9 80 50 33 v 1 1 1 M ay 1 99 8 Schwarzschild Space - Time in Gauge Theories of Gravity
نویسندگان
چکیده
In Poincaré gauge theory of gravity and in Poincaré gauge theory of gravity, we give the necessary and sufficient condition in order that the Schwarzschild spacetime expressed in terms of the Schwarzschild coordinates is obtainable as a torsionless exact solution of gravitational field equations with a spinless point-like source having the energy-momentum density T̃ ν μ (x) = −Mc2δ 0 μ δ ν 0 δ(3)(x). Further, for the case when this condition is satisfied, the energy-momentum and the angular momentum of the Schwarzschild space-time are examined in their relations to the asymptotic forms of vierbein fields. We show, among other things, that asymptotic forms of vierbeins are restricted by requiring the equality of the active gravitational mass and the inertial mass. Conversely speaking, this equality is violated for a class of vierbeins giving the Schwarzschild metric.
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