6533b7d5fe1ef96bd1264567

RESEARCH PRODUCT

Relation between quasirigidity andL-rigidity in space-times of constant curvature and weak fields

M. BarredaJ. Olivert

subject

Weyl tensorPhysicsAngular momentumRiemann curvature tensorPhysics and Astronomy (miscellaneous)General MathematicsCurvatureConstant curvaturesymbols.namesakeClassical mechanicsTotal angular momentum quantum numbersymbolsAngular momentum operatorMathematical physicsScalar curvature

description

The relation between quasirigidity andL-rigidity in space-times of constant nonzero curvature and in space-times with small curvature (weak fields) is studied. The covariant expansion of bitensors about a point is considered. We obtain an increase in the order of magnitude, underL-rigidity conditions, of the rate of change with respect to a comoving orthonormal frame of the linear momentum, angular momentum, and reduced multipole moments of the energy-momentum tensor. Thus,L-rigidity leads to quasirigidity in such space-times.

https://doi.org/10.1007/bf02435894