Communications in Analysis and Geometry
Volume 11 (2003)
The Dirac-Witten Operator on Spacelike Hypersurfaces
Pages: 737 – 750
We establish optimal lower bounds for the eigenvalues of the Dirac- Witten operator of compact (with or without boundary) spacelike hypersurfaces of a Lorentzian manifold, whose metric satisfies the Einstein field equations and whose energy momentum-tensor satisfies the dominant energy condition.