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Involutions of compact Riemannian 4-symmetric spaces
Let G/H be a compact 4-symmetric space of inner type such that the dimension
of the center Z(H) of H is at most one. In this paper we shall classify
involutions of G preserving H for the case where dim Z(H)=0, or H is a
centralizer of a toral subgroup of G.Comment: 39page
Schwarzschild Space-Time in Gauge Theories of Gravity
In Poincar\'e gauge theory of gravity and in \overline{\mbox{Poincar\'e}}
gauge theory of gravity, we give the necessary and sufficient condition in
order that the Schwarzschild space-time 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 \widetilde{\mbox{\boldmath T}}_\mu^{~\nu}(x) = - Mc^2
\delta_\mu^{~0} \delta_0^{~\nu} \delta^{(3)}(\mbox{\boldmath 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.Comment: 26 pages, LaTeX, uses amssymb.sty. To appear in Prog. Theor. Phys. 99
(1998
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