Physics
Scientific paper
Oct 1984
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984gregr..16..979p&link_type=abstract
General Relativity and Gravitation (ISSN 0001-7701), vol. 16, Oct. 1984, p. 979-1001.
Physics
2
Einstein Equations, Gravitation Theory, Gravitational Effects, Relativity, Rotating Matter, Stellar Models, Gravitational Fields, Shielding, Space-Time Functions, Static Stability, Stellar Gravitation, Stellar Rotation, Two Body Problem
Scientific paper
A model system, consisting of a thin spherical shell with radius R and mass M and a point mass m at a distance s greater than R from the center of the sphere, held fixed by an appropriate strut, is solved to order mM. The stresses in the shell are not of the canonical Weyl type, and it is argued that the same is true for more realistic situations, e.g., rotating matter. Owing to the nonlinearity of Einstein's field equations, the field of the point mass is shielded from the interior of the shell by a factor eta lying between 1 - 3M/R and 1 - 2M/R, and the field outside the shell explicitly depends on R.
Konrad W.
Pfister Hanspeter
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