Chinese Journal of Physics[V35-No.6]

VOLUME 35, NUMBER 6, PART I

DECEMBER 1997

Some Spherically Symmetric Exact Solutions of the Metric-Affine Gravity Theory
J. K. Ho, De-Ching Chern, and James M. Nester Department of Physics, National Central University, Chungli, Taiwan 320, R.O.C. (Received December 2, 1996; revised received August 20, 1997)
We present four new spherically symmetric exact solutions of the Metric-Affine Gravity theory. In each case, just as in the other known spherically symmetric solutions, the metric has the Reissner-Nordstroem (anti) de-Sitter form. The nonmetricity is of the Weyl type with a Coulomb potential form due to a dilatation charge. The torsion exhibits a variety of asymptotic behaviors including asymptotically constant. For three solutions the torsion depends on an arbitrary function. Each of the solutions is rather general, requiring only 7 or 8 conditions on the 23 parameters of the theory.

Some Spherically Symmetric Exact Solutions
of the Metric-Affine Gravity Theory

J. K. Ho, De-Ching Chern, and James M. Nester

Department of Physics, National Central University, Chungli, Taiwan 320, R.O.C.

(Received December 2, 1996; revised received August 20, 1997)

We present four new spherically symmetric exact solutions of the Metric-Affine Gravity theory. In each case, just as in the other known spherically symmetric solutions, the metric has the Reissner-Nordstroem (anti) de-Sitter form. The nonmetricity is of the Weyl type with a Coulomb potential form due to a dilatation charge. The torsion exhibits a variety of asymptotic behaviors including asymptotically constant. For three solutions the torsion depends on an arbitrary function. Each of the solutions is rather general, requiring only 7 or 8 conditions on the 23 parameters of the theory.

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