De-Ching Chern

Positive energy test of Poincare gauge theory

The positive total energy test is applied to the Poincare Gauge Theory of gravity. Both the asymptotically flat and asymptotically constant negative curvature case are considered. The test shows that in either case, the theory with generic values for the parameters is not viable.

Rotonless solutions in the Poincaré gauge theory of gravitation

Abstract In searching for rotonless solutions to the full equations of the Poincare gauge theory of gravitation under spherically symmetric conditions, we found a unique set of lagrangians for the theory in which the absence of rotons will give the Schwarzschild metric as the only possible metric solution to the field equations.

The extra dimensions of the eleven-dimensional simple supergravity are ricci-flat if they are compact

SummaryBy using the de Rham-Yano-Bochner lemma on harmonic tensor fields in a compact orientable manifold, we show that the extra dimensions in eleven-dimensional simple supergravity will he Ricci-flat if they are compact.