Publication
Birkhoff's theorem for stable torsion theories
de la Cruz-Dombriz, A. & Torralba, F. J. M., Mar-2019, In : Journal of Cosmology and Astroparticle Physics. 3, 41 p., 002.Research output: Contribution to journal › Article › Academic › peer-review

Documents
- Birkhoff’s theorem for stable torsiontheories
Proof, 893 KB, PDF document
Links
- http://arxiv.org/pdf/1811.11021
Submitted manuscript
DOI
We present a novel approach to establish the Birkhoff's theorem validity in the so-called quadratic Poincare Gauge theories of gravity. By obtaining the field equations via the Palatini formalism, we find paradigmatic scenarios where the theorem applies neatly. For more general and physically relevant situations, a suitable decomposition of the torsion tensor also allows us to establish the validity of the theorem. Our analysis shows rigorously how for all stable cases under consideration, the only solution of the vacuum field equations is a torsionless Schwarzschild spacetime, although it is possible to find non-Schwarzschild metrics in the realm of unstable Lagrangians. Finally, we study the weakened formulation of the Birkhoff's theorem where an asymptotically flat metric is assumed, showing that the theorem also holds.
Original language | English |
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Article number | 002 |
Number of pages | 41 |
Journal | Journal of Cosmology and Astroparticle Physics |
Issue number | 3 |
Publication status | E-pub ahead of print - Mar-2019 |
- GR black holes, modified gravity, FREE GRAVITY LAGRANGIANS, POINCARE GAUGE-THEORY, GHOST-FREE, GENERAL-RELATIVITY, R+R2 THEORIES, BLACK-HOLES, EQUATIONS
Keywords
ID: 118743646