Generalized Birkhoff theorem in the Poincaré gauge gravity theory

Abstract

The analysis of the validity of Birkhoff's theorem about the uniqueness of the spherically symmetric solution of the gravitational field equations is extended to the framework of the Poincaré gauge gravity theory. The class of models with the most general Lagrangians of the Yang-Mills type constructed from all possible quadratic invariants of the curvature and the torsion is considered, including both parity-even and parity-odd sectors. We find the models in which the weak and strong versions of the generalized Birkhoff theorem are valid, by making use of the double duality technique.

arXiv comment17 pages, Revtex style, minor corrections, references added

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• Rotating Kerr-Newman space-times in Metric-Affine Gravity
• Stability of Poincaré gauge theory with cubic order invariants
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• A gravitational spin-orbit interaction in Poincaré gauge theory
• The Relativistic Gravitational Field of a Spherically Symmetric Extended Body