Schwarzschild Space-Time in Gauge Theories of Gravity

概要

論文の詳細を見る
In the context of Poincare gauge theory of gravity and <Poincare>^^^- gauge theory of gravity, we give the necessary and sufficient condition for the Schwarzschild space-time expressed in terms of the Schwarzschild coordinates to be obtainable as a torsionless exact solution of the gravitational field equations with a spinless point-like source having the energy-momentum density T^_μ^ν (x) = -Mc^2δ^0_μδ^ν_0δ^<(3)>(x). Further, for the case in which this condition is satisfied, the energy-momentum and 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 the asymptotic forms of the vierbeins are restricted by requiring the equality of the active gravitational mass and the intertial mass. Conversely speaking, this equality is violated for a class of vierbeins giving the Schwarzschild metric.
理論物理学刊行会の論文
1998-06-25