Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2006-11-22
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
10 pages, minor changes in versions 2, 3
Scientific paper
We review the correspondence between symmetric affine theories and the nonlinear Einstein-Proca system that was found by Einstein and Schrodinger. With the use of this correspondence, we investigate static spherically symmetric solutions in symmetric affine theory with no matter fields. Use of the correspondence leads to a significant simplification of the calculation. A special instance of ``no-hair'' theorem for symmetric affine theory is established.
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