Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
1998-05-11
Prog.Theor.Phys. 99 (1998) 971-992
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
26 pages, LaTeX, uses amssymb.sty. To appear in Prog. Theor. Phys. 99 (1998)
Scientific paper
10.1143/PTP.99.971
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.
Kawai Toshiharu
Sakane Eisaku
Tojo Takashi
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