Birkhoff's Theorem in Higher Derivative Theories of Gravity

Details Birkhoff's Theorem in Higher Derivative Theories of Gravity Birkhoff's Theorem in Higher Derivative Theories of Gravity

2011-04-06

arxiv.org/abs/1104.1205v2

Class.Quant.Grav.28:175007,2011

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

7 pages, no figures. v1: This version received an Honorable Mention from the Gravity Research Foundation - 2011 Awards for Ess

Scientific paper

10.1088/0264-9381/28/17/175007

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.

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