Built on

T. Kobayashi, “Horndeski theory and beyond: a review,” Rept. Prog. Phys. 82
Original
1901
Earlier work this paper cites.
D. Glavan and C. Lin, “Einstein-Gauss-Bonnet Gravity in Four-Dimensional Spacetime,” Phys. Rev. Lett. 124
Original
1905
Earlier work this paper cites.
C. Lanczos, “A Remarkable property of the Riemann-Christoffel tensor in four dimensions,” Annals Math. 39
1938
Earlier work this paper cites.
X. O. Camanho and J. D. Edelstein, “Causality in AdS/CFT and Lovelock theory,” JHEP 06
Original
1944
Earlier work this paper cites.
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.
D. Lovelock, “The four-dimensionality of space and the einstein tensor,” J. Math. Phys. 13
1972
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.
M. Banados, C. Teitelboim and J. Zanelli, “The Black hole in three-dimensional space-time,” Phys. Rev. Lett. 69
1992
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.
R. B. Mann and S. F. Ross, “The D → 2 D\to 2 limit of general relativity,” Class. Quant. Grav. 10
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.
H. Lu and Y. Pang, “Horndeski gravity as D → 4 D\to 4 limit of Gauss-Bonnet,” Phys. Lett. B 809
Original
2003
Earlier work this paper cites.
T. Kobayashi, “Effective scalar-tensor description of regularized Lovelock gravity in four dimensions,” JCAP 07
Original
2003
Earlier work this paper cites.
R. A. Konoplya and A. Zhidenko, “BTZ black holes with higher curvature corrections in the 3D Einstein-Lovelock gravity,” Phys. Rev. D 102
Original
2003
Earlier work this paper cites.

Similar

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Original
2004
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Original
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Then

M. Hohmann, C. Pfeifer and N. Voicu, “Canonical variational completion and 4D Gauss-Bonnet gravity,” Eur. Phys. J. Plus 136
Original
2009
Later among the works it cites.
T. Padmanabhan, “Gravitation: Foundations and frontiers,” Cambridge Univ. Pr., Cambridge, UK, 2010 [ doi:10.1017/CBO9780511807787 ]
2010
Later among the works it cites.
J. de Boer, M. Kulaxizi and A. Parnachev, “Holographic Lovelock Gravities and Black Holes,” JHEP 06
Original
2010
Later among the works it cites.
R. C. Myers and B. Robinson, “Black Holes in Quasi-topological Gravity,” JHEP 08
Original
2010
Later among the works it cites.
T. Padmanabhan, “Some aspects of field equations in generalised theories of gravity,” Phys. Rev. D 84
Original

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2022

Lower-dimensional Limits of Cubic Lovelock Gravity

Alkac, Gokhan, Ozen, Gokcen Deniz, Suer, Gun

Understand

In this paper, we obtain the lower-dimensional limits $(p=2,3,4,5,6)$ of cubic Lovelock gravity through a regularized Kaluza-Klein reduction.

By taking a flat internal space for simplicity, we also study the static black hole solutions in the resulting theories.
We show that the solutions match with the ones obtained from the "naive limit" of $D$-dimensional equation for the metric function, which is obtained by first scaling the relevant couplings by a factor of $\frac{1}{D-p}$ and then taking the limit $D\to p$, with one important exception: In 4D, one obtains the expected solution only for the black hole with a planar horizon.

Built on

T. Kobayashi, “Horndeski theory and beyond: a review,” Rept. Prog. Phys. 82
Original
1901
Earlier work this paper cites.
D. Glavan and C. Lin, “Einstein-Gauss-Bonnet Gravity in Four-Dimensional Spacetime,” Phys. Rev. Lett. 124
Original
1905
Earlier work this paper cites.
C. Lanczos, “A Remarkable property of the Riemann-Christoffel tensor in four dimensions,” Annals Math. 39
1938
Earlier work this paper cites.
X. O. Camanho and J. D. Edelstein, “Causality in AdS/CFT and Lovelock theory,” JHEP 06
Original
1944
Earlier work this paper cites.
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.
D. Lovelock, “The four-dimensionality of space and the einstein tensor,” J. Math. Phys. 13
1972
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.
M. Banados, C. Teitelboim and J. Zanelli, “The Black hole in three-dimensional space-time,” Phys. Rev. Lett. 69
1992
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.
R. B. Mann and S. F. Ross, “The D → 2 D\to 2 limit of general relativity,” Class. Quant. Grav. 10
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.
H. Lu and Y. Pang, “Horndeski gravity as D → 4 D\to 4 limit of Gauss-Bonnet,” Phys. Lett. B 809
Original
2003
Earlier work this paper cites.
T. Kobayashi, “Effective scalar-tensor description of regularized Lovelock gravity in four dimensions,” JCAP 07
Original
2003
Earlier work this paper cites.
R. A. Konoplya and A. Zhidenko, “BTZ black holes with higher curvature corrections in the 3D Einstein-Lovelock gravity,” Phys. Rev. D 102
Original
2003
Earlier work this paper cites.