Built on

C. Deffayet, S. Deser and G. Esposito-Farese, “Generalized Galileons: All scalar models whose curved background extensions maintain second-order field equations and stress-tensors,” Phys. Rev. D 80
Original
1967
Earlier work this paper cites.
D. Lovelock, “The Einstein tensor and its generalizations,” J. Math. Phys. 12
1971
Earlier work this paper cites.
G.W. Horndeski, “Second-order scalar-tensor field equations in a four-dimensional space,” Int. J. Theor. Phys. 10
1974
Earlier work this paper cites.
D.G. Boulware and S. Deser, “String generated gravity models,” Phys. Rev. Lett. 55
1986
Earlier work this paper cites.
J.T. Wheeler, “Symmetric solutions to the Gauss-Bonnet extended Einstein equations,” Nucl. Phys. B 268
1986
Earlier work this paper cites.
R.C. Myers and J.Z. Simon, “Black hole thermodynamics in Lovelock gravity,” Phys. Rev. D 38
1988
Earlier work this paper cites.
R.M. Wald, “Black hole entropy is the Noether charge,” Phys. Rev. D 48
1993
Earlier work this paper cites.
V. Iyer and R.M. Wald, “Some properties of Noether charge and a proposal for dynamical black hole entropy,” Phys. Rev. D 50
1994
Earlier work this paper cites.

Similar

M. Cvetič, S. Nojiri and S.D. Odintsov, “Black hole thermodynamics and negative entropy in de Sitter and anti-de Sitter Einstein-Gauss-Bonnet gravity,” Nucl. Phys. B 628
2001
Cited alongside, same era.
R.G. Cai and K.S. Soh, “Topological black holes in the dimensionally continued gravity,” Phys. Rev. D 59
2002
Cited alongside, same era.
R. Konoplya and A. Zinhailo, arXiv:2003.01188 [gr-qc]; M. Guo and P.C. Li, arXiv:2003.02523 [gr-qc]; P.G.S. Fernandes, arXiv:2003.05491 [gr-qc]; R.A. Konoplya and A. Zhidenko, arXiv:2003.07788 [gr-qc]; S.W. Wei and Y.X. Liu, arXiv:2003.07769 [gr-qc]; A. Casalino, A. Colleaux, M. Rinaldi and S. Vicentini, arXiv:2003.07068 [gr-qc]; R. Kumar and S.G. Ghosh, arXiv:2003.08927 [gr-qc]; K. Hegde, A.N. Kumara, C.L.A. Rizwan, A.K.M. and M.S. Ali, arXiv:2003.08778 [gr-qc]; D.D. Doneva and S.S. Yazadjiev, arXiv:2003.10284 [gr-qc]; S.G. Ghosh and S.D. Maharaj, arXiv:2003.09841 [gr-qc]
Original
2003
Cited alongside, same era.
L. Ma and H. Lü, “Vacua and exact solutions in lower- D D limits of EGB,” arXiv:2004.14738 [gr-qc]
Original
2004
Cited alongside, same era.

Then

R.G. Cai, L.M. Cao and N. Ohta, “Black holes in gravity with conformal anomaly and logarithmic term in black hole entropy,” JHEP 1004
Original
2014
Later among the works it cites.
C. Charmousis, “From Lovelock to Horndeski‘s generalized scalar tensor theory,” Lect. Notes Phys. 892
Original
2015
Later among the works it cites.
C. P. Herzog, K. W. Huang and K. Jensen, “Universal Entanglement and Boundary Geometry in Conformal Field Theory,” JHEP 1601
Original
2016
Later among the works it cites.
X.H. Feng, H.S. Liu, H. Lü and C.N. Pope, “Black hole entropy and viscosity bound in Horndeski gravity,” JHEP 1511
Original
2016
Later among the works it cites.
C. Cheung and G.N. Remmen, “Positivity of curvature-squared corrections in gravity,” Phys. Rev. Lett. 118

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2020

Horndeski Gravity as $D\rightarrow4$ Limit of Gauss-Bonnet

Lu, H., Pang, Yi

Understand

We propose a procedure for the $D\rightarrow 4$ limit of Einstein-Gauss-Bonnet (EGB) gravity that leads to a well defined action principle in four dimensions.

Our construction is based on compactifying $D$-dimensional EGB gravity on a $(D-4)$-dimensional maximally symmetric space followed by redefining the Gauss-Bonnet coupling $\alpha\rightarrow \frac{\alpha}{D-4}$.
The resulting model is a special scalar-tensor theory that belongs to the family of Horndeski gravity.
Static black hole solutions in the scalar-tensor theory are investigated.

Built on

C. Deffayet, S. Deser and G. Esposito-Farese, “Generalized Galileons: All scalar models whose curved background extensions maintain second-order field equations and stress-tensors,” Phys. Rev. D 80
Original
1967
Earlier work this paper cites.
D. Lovelock, “The Einstein tensor and its generalizations,” J. Math. Phys. 12
1971
Earlier work this paper cites.
G.W. Horndeski, “Second-order scalar-tensor field equations in a four-dimensional space,” Int. J. Theor. Phys. 10
1974
Earlier work this paper cites.
D.G. Boulware and S. Deser, “String generated gravity models,” Phys. Rev. Lett. 55
1986
Earlier work this paper cites.
J.T. Wheeler, “Symmetric solutions to the Gauss-Bonnet extended Einstein equations,” Nucl. Phys. B 268
1986
Earlier work this paper cites.
R.C. Myers and J.Z. Simon, “Black hole thermodynamics in Lovelock gravity,” Phys. Rev. D 38
1988
Earlier work this paper cites.
R.M. Wald, “Black hole entropy is the Noether charge,” Phys. Rev. D 48
1993
Earlier work this paper cites.
V. Iyer and R.M. Wald, “Some properties of Noether charge and a proposal for dynamical black hole entropy,” Phys. Rev. D 50
1994
Earlier work this paper cites.