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Prog. Theor. Phys. Vol. 99 No. 6 (1998) pp. 971-992
Schwarzschild Space-Time in Gauge Theories of Gravity
Toshiharu Kawai,
Eisaku Sakane and
Takashi Tojo*
Department of Physics, Osaka City University, Osaka 558-8585, Japan
*Up Educational Project, Nishinomiya 663-8204, Japan
(Received October 21, 1997)
Abstract:
In the context of Poincaré gauge theory of gravity and
\overlinePoincaré 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
\widetildeTµ ν(x)
=-Mc2δµ 0δ0 ν δ(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
inertial mass. Conversely speaking, this equality is violated for a
class of vierbeins giving the Schwarzschild metric.
URL :
http://ptp.ipap.jp/link?PTP/99/971/
DOI : 10.1143/PTP.99.971
See Also:
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