Jaumann transport in relativistic continuum mechanics

Details Jaumann transport in relativistic continuum mechanics Jaumann transport in relativistic continuum mechanics

Oct 1981

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981gregr..13..939r&link_type=abstract

General Relativity and Gravitation, Volume 13, Issue 10, pp.939-946

Astronomy and Astrophysics

Astrophysics

5

Scientific paper

We define the Jaumann derivative of a tensor field in relativity by a formal generalization of a stress rate in viscoelasticity. A tensor field is said to be Jaumann transported iff its Jaumann derivative vanishes. It is found that the gravitational potentials are Jaumann transported identically. The concept of a “complete rotation tensor” has been introduced to study the Jaumann derivative with respect to a null vector field. This provides a characterization of the integrability of a hypersurface orthogonal congruence. A perfect fluid collapsing by neutrino emission and undergoing Jaumann transport with respect to the neutrino flow is found to be compatible with that of a catastrophic collapse. The circumstances leading to the existence of “ghost neutrinos” are cited. The degeneracy of the Kerr-Newman black hole into the Reissner-Nordstrom black hole is expressed in terms of the Jaumann propagation.

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