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Black Holes in Higher-Derivative Gravity · Around

2015

Black Holes in Higher-Derivative Gravity

Lu, H., Perkins, A., Pope, C. N. et al.

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Extensions of Einstein gravity with higher-order derivative terms arise in string theory and other effective theories, as well as being of interest in their own right.

In this paper we study static black-hole solutions in the example of Einstein gravity with additional quadratic curvature terms.
A Lichnerowicz-type theorem simplifies the analysis by establishing that they must have vanishing Ricci scalar curvature.
By numerical methods we then demonstrate the existence of further black-hole solutions over and above the Schwarzschild solution.

Built on

G. ’t Hooft and M.J.G. Veltman, One loop divergences in the theory of gravitation
1974
Earlier work this paper cites.
K.S. Stelle, Renormalization of higher derivative quantum gravity
1977
Earlier work this paper cites.
K.S. Stelle, Classical gravity with higher derivatives
1978
Earlier work this paper cites.

Similar

D. G. Boulware, S. Deser and K. S. Stelle, Energy and Supercharge in Higher Derivative Gravity
1986
Cited alongside, same era.
R.M. Wald, Black hole entropy is the Noether charge
1993
Cited alongside, same era.
V. Iyer and R.M. Wald, Some properties of Noether charge and a proposal for dynamical black hole entropy,
1994
Cited alongside, same era.
Z.Y. Fan and H. Lü, Thermodynamical first laws of black holes in quadratically-extended gravities
Original
Cited in the paper.
H. Lü, A. Perkins, C.N. Pope and K.S. Stelle, to appear
Cited in the paper.

Then

S. Deser and B. Tekin, Gravitational energy in quadratic curvature gravities
2002
Later among the works it cites.
W. Nelson, Static solutions for 4th order gravity
Original
2010
Later among the works it cites.
A.V. Smilga, Supersymmetric field theory with benign ghosts
Original
2014
Later among the works it cites.

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