Symmetric Affine Theories and Nonlinear Einstein-Proca System

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

Scientific paper

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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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