6533b7d2fe1ef96bd125e8b9
RESEARCH PRODUCT
Rigid motions relative to an observer:L-rigidity
J. OlivertM. Barredasubject
PhysicsGeneral Relativity and Quantum CosmologyMathematics of general relativityRigidity (electromagnetism)Classical mechanicsNewtonian potentialPhysics and Astronomy (miscellaneous)Gravitational fieldGeneral relativityCauchy stress tensorGeneral MathematicsMinkowski spaceIntroduction to the mathematics of general relativitydescription
A new definition of rigidity,L-rigidity, in general relativity is proposed. This concept is a special class of pseudorigid motions and therefore it depends on the chosen curveL. It is shown that, for slow-rotation steady motions in Minkowski space, weak rigidity andL-rigidity are equivalent. The methods of the PPN approximation are considered. In this formalism, the equations that characterizeL-rigidity are expressed. As a consequence, the baryon mass density is constant in first order, the stress tensor is constant in the comoving system, the Newtonian potential is constant along the lineL, and the gravitational field is constant along the lineL in the comoving system.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1996-07-01 | International Journal of Theoretical Physics |