2011/04/30 by Julio Oliva, Sourya Ray · 3 citations
Earth and Planetary Sciences · Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Class (philosophy) #Classical mechanics #Cosmology and Gravitation Theories #Field (mathematics) #Field equation #Geometry #Geophysics and Gravity Measurements #Gravitational field #Lagrangian #Mathematical physics #Mathematics #Order (exchange) #Physics #Plane (geometry) #Pure mathematics #Quantum mechanics #Space (punctuation) #Spacetime #Symmetry (geometry) #Theoretical physics #gr-qc #hep-th
paper · pdf · doi:10.1088/0264-9381/28/17/175007
published as Class.Quant.Grav.28:175007,2011 · 7 pages, no figures. v1: This version received an Honorable Mention from the Gravity Research Foundation - 2011 Awards for Essays on Gravitation. v2: Expanded version. To appear in CQG
arxiv created 2011/07/08 · openalex publication_date 2011/07/29 · arxiv updated 2011/09/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
In this paper, we present a class of higher derivative theories of gravity which admit Birkhoff's theorem. In particular, we explicitly show that in this class of theories, although generically the field equations are of fourth order, under spherical (plane or hyperbolic) symmetry, all the field equations reduce to second order and have exactly the same or similar structure to those of Lovelock theories, depending on the spacetime dimensions and the order of the Lagrangian.