SCHWARZSCHILD SPACE-TIME IN GAUGE-THEORIES OF GRAVITY

Citation
T. Kawai et al., SCHWARZSCHILD SPACE-TIME IN GAUGE-THEORIES OF GRAVITY, Progress of theoretical physics, 99(6), 1998, pp. 971-992
Citations number
15
Categorie Soggetti
Physics
ISSN journal
0033068X
Volume
99
Issue
6
Year of publication
1998
Pages
971 - 992
Database
ISI
SICI code
0033-068X(1998)99:6<971:SSIGOG>2.0.ZU;2-D
Abstract
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 c oordinates to be obtainable as a torsionless exact solution of the gra vitational field equations with a spinless point-like source having th e energy-momentum density (T) over tilde(mu)(upsilon)(x) = -Mc(2)delta (mu)(0)delta(0)(upsilon)delta((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, tha t the asymptotic forms of the vierbeins are restricted by requiring th e equality of the active gravitational mass and the inertial mass. Con versely speaking, this equality is violated for a class of vierbeins g iving the Schwarzschild metric.