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Birkhoff's Theorem in Higher Derivative Theories of Gravity · Around

2011

Birkhoff's Theorem in Higher Derivative Theories of Gravity

Oliva, Julio, Ray, Sourya

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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.

Built on

D. Lovelock, J. Math. Phys. 12
1971
Earlier work this paper cites.
R. J. Riegert, Phys. Rev. Lett. 53
1984
Earlier work this paper cites.
R. Zegers, J. Math. Phys. 46
2005
Earlier work this paper cites.

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M. Farhoudi, Gen. Rel. Grav. 41
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E.A. Bergshoeff, O. Hohm, and P.K. Townsend, Phys. Rev. Lett. 102
2009
Cited alongside, same era.
J. Oliva and S. Ray, Phys. Rev. D 82
2010
Cited alongside, same era.

Then

J. Oliva and S. Ray, Class. Quant. Grav. 27
2010
Later among the works it cites.
R.C. Myers and B. Robinson, JHEP 1008
2010
Later among the works it cites.

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