Abstract
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.
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Barreda, M., Olivert, J. Rigid motions relative to an observer:L-rigidity. Int J Theor Phys 35, 1511–1522 (1996). https://doi.org/10.1007/BF02084957
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DOI: https://doi.org/10.1007/BF02084957