Stability Properties of Gravitational Theories and Three Dimensional Gravities
Abstract
Two separate subjects are discussed. The first concerns recent advances in the formulation of energy and proofs of its positivity for gravity and supergravity theories, including those with nonvanishing cosmological constants. A simple derivation of Witten's (1981) positive energy formula for classical gravity is also given, based on a classicalsupergravity extension of Einstein's theory. The second topic deals with gravity theories in three spacetime dimensions. Ordinary Einstein theory is considered as a soluble model where topology takes the place of geometry as the carrier of information about the sources. Then the locally supersymmetric extensions of topologically massive gravity, with or without cosmological terms, are presented as novel examples of supergravity in odd dimensions.
 Publication:

Relativity, Cosmology, Topological Mass and Supergravity; SILARG IV
 Pub Date:
 1983
 Bibcode:
 1983rctm.proc..135D
 Keywords:

 Energy Distribution;
 Gauge Theory;
 Gravitation Theory;
 Relativity;
 SpaceTime Functions;
 Unified Field Theory;
 Boson Fields;
 Cosmology;
 Dimensions;
 Elementary Particle Interactions;
 Systems Stability;
 Topology;
 Astrophysics