Superposition of Weyl solutions: The equilibrium forces

Details Superposition of Weyl solutions: The equilibrium forces Superposition of Weyl solutions: The equilibrium forces

1997-10-28

arxiv.org/abs/gr-qc/9710122v1

Class.Quant.Grav. 15 (1998) 421-433

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

31 pages, 7 figures, psbox macro. Submitted to Classical and Quantum Gravity

Scientific paper

10.1088/0264-9381/15/2/015

Solutions to the Einstein equation that represent the superposition of static
isolated bodies with axially symmetry are presented. The equations nonlinearity
yields singular structures (strut and membranes) to equilibrate the bodies. The
force on the strut like singularities is computed for a variety of situations.
The superposition of a ring and a particle is studied in some detail

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