Birkhoff for Lovelock redux
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We show succinctly that all metric theories with second order field equations obey Birkhoff's theorem: their spherically symmetric solutions are static.
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Birkhoff's theorem also holds in Lovelock theory.
“Birkhoff's theorem also holds in Lovelock theory of gravity [4,5] which is a natural higher curvature generalization of Einstein's general relativity and retains the property that the field equations are of second order in the metric [6].”
From Birkhoff’s theorem in Lovelock gravity for general base manifolds (2015) · cites this paper as [5]
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Research works printed but not linked: 5
- [1][1] S. Deser and A.V. Ryzhov; gr-qc/0505039. · arXiv
- [2][2] C. Chermousis and J.F. Dufaux, Class. Quant. Grav. 19, 4671 (2002); hep-th/0202107. · arXiv
- [3][3] R. Zegers; gr-qc/0505016. · arXiv
- [4][4] S. Deser and J. Franklin, Am. J. Phys. 73, 261 (2005); gr-qc/0408067. · arXiv
- [5][5] S. Deser and B. Tekin, Class. Quant. Grav. 20. 4877 (2003); gr-qc/0306114. 9 · arXiv
Cited by
Sorted by citations
Generalized Misner-Sharp quasilocal mass in Einstein-Gauss-Bonnet gravity
Maeda, H., & Nozawa, M. (2008) · Physical Review D · doi:10.1103/physrevd.77.064031 · Cited by 155 · see citing works
Birkhoff’s theorem in Lovelock gravity for general base manifolds
Ray, S. (2015) · Classical and Quantum Gravity · doi:10.1088/0264-9381/32/19/195022 · Cited by 34 · see citing works
- Authors
- Deser, S., & Franklin, J.
- ORCID
- Deser, S
- Venue
- Classical and Quantum Gravity
- Publisher
- IOP Publishing
- Published
- 2005-07-26
- Volume
- 22
- Issue
- 16
- Pages
- L103-L106
- ISSN
- 0264-9381 (ISSN-L)
- 1361-6382
- OpenAlex
- W2087416041
- Cited by
- 60
- References
- 0
- Citations by year
- 2026: 1 · 2025: 2 · 2024: 2 · 2023: 2 · 2022: 1 · 2021: 2 · 2020: 2 · 2019: 1 · 2018: 3 · 2017: 2 · 2016: 2 · 2015: 4 · 2014: 1 · 2013: 3 · 2012: 7
- FWCI
- 2.08
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Classical and Quantum Gravity (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- CaltechAUTHORS (California Institute of Technology) (submittedVersion)
- CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Cosmology and Gravitation Theories
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Relativity and Gravitational Theory
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Advanced Differential Geometry Research
- Keywords
- Birkhoff's theorem, Lovelock gravity, metric theories of gravity, second-order field equations, spherically symmetric solutions, static solutions, general relativity
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