The positivemass conjecture.
Abstract
The positivemass conjecture states that an isolated gravitating system having nonnegative local mass density must have nonnegative total mass, measured gravitationally at spatial infinity. The supporting definitions and mathematical statement of the conjecture itself are reviewed, and a few of the known results (all positive) are summarized. An alternative formulation of part of the conjecture is introduced which deals with the asymptotic flatness of an initialdata set consisting of a threemanifold with a positivedefinite metric and a symmetric tensor field. This formulation is applied, and results are obtained to the effect that 'nontrivial topology' and 'wormholes connecting to other universes' both serve to increase total energy.
 Publication:

Theoretical Principles in Astrophysics and Relativity
 Pub Date:
 1978
 Bibcode:
 1978tpar.book..245G
 Keywords:

 Astrophysics;
 Mass;
 Relativity;
 Curvature;
 Manifolds (Mathematics);
 Schwarzschild Metric;
 SpaceTime Functions;
 Astrophysics;
 Neutron Stars;
 Relativistic Astrophysics;
 Background Radiation;
 Gravitation Theory