Built on

Y.-Z. Li, Holographic Studies of The Generic Massless Cubic Gravities , Phys. Rev. D99
Original
1901
Earlier work this paper cites.
H. Lu and R. Wen, Holographic (a,c)-charges and Their Universal Relation in d=6 from Massless Higher-order Gravities , 1901.11037
Original
1901
Earlier work this paper cites.
M. Mir, R. A. Hennigar, J. Ahmed and R. B. Mann, Black hole chemistry and holography in generalized quasi-topological gravity , JHEP 08
Original
1902
Earlier work this paper cites.
M. Mir and R. B. Mann, On generalized quasi-topological cubic-quartic gravity: thermodynamics and holography , JHEP 07
Original
1902
Earlier work this paper cites.
M. R. Mehdizadeh and A. H. Ziaie, Traversable wormholes in Einsteinian cubic gravity , 1903.10907
Original
1903
Earlier work this paper cites.
C. Erices, E. Papantonopoulos and E. N. Saridakis, Cosmology in cubic and f ⁡ ( P ) f(P) gravity , 1903.11128
Original
1903
Earlier work this paper cites.
J. Jiang and X.-W. Li, Modified ”complexity equals action” conjecture , 1903.05476
Original
1903
Earlier work this paper cites.
W. T. Emond and N. Moynihan, Scattering Amplitudes, Black Holes and Leading Singularities in Cubic Theories of Gravity , 1905.08213
Original
1905
Earlier work this paper cites.
P. Bueno, P. A. Cano, J. Moreno and A. Murcia, All higher-curvature gravities as Generalized quasi-topological gravities , 1906.00987
Original
1906
Earlier work this paper cites.
R. L. Arnowitt, S. Deser and C. W. Misner, Canonical variables for general relativity , Phys. Rev. 117
1960
Earlier work this paper cites.
R. Arnowitt, S. Deser and C. W. Misner, Energy and the Criteria for Radiation in General Relativity , Phys. Rev. 118
1960
Earlier work this paper cites.
R. L. Arnowitt, S. Deser and C. W. Misner, Coordinate invariance and energy expressions in general relativity , Phys. Rev. 122
1961
Earlier work this paper cites.
D. Lovelock, Divergence-free tensorial concomitants , aequationes mathematicae 4
1970
Earlier work this paper cites.
D. Lovelock, The Einstein tensor and its generalizations , J. Math. Phys. 12
1971
Earlier work this paper cites.
R. S. Palais, The principle of symmetric criticality , Commun. Math. Phys. 69
1979
Earlier work this paper cites.
D. G. Boulware and S. Deser, String Generated Gravity Models , Phys. Rev. Lett. 55
1985
Earlier work this paper cites.
J. T. Wheeler, Symmetric Solutions to the Gauss-Bonnet Extended Einstein Equations , Nucl. Phys. B268
1986
Earlier work this paper cites.
J. T. Wheeler, Symmetric Solutions to the Maximally Gauss-Bonnet Extended Einstein Equations , Nucl. Phys. B273
1986
Earlier work this paper cites.
T. Jacobson, G. Kang and R. C. Myers, On black hole entropy , Phys. Rev. D49
1994
Earlier work this paper cites.
R.-G. Cai, Gauss-Bonnet black holes in AdS spaces , Phys. Rev. D65
2002
Earlier work this paper cites.
S. Deser and B. Tekin, Shortcuts to high symmetry solutions in gravitational theories , Class. Quant. Grav. 20
2003
Earlier work this paper cites.

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2019

(Generalized) quasi-topological gravities at all orders

Bueno, Pablo, Cano, Pablo A., Hennigar, Robie A.

Understand

A new class of higher-curvature modifications of $D(\geq 4$)-dimensional Einstein gravity has been recently identified.

Densities belonging to this "Generalized quasi-topological" class (GQTGs) are characterized by possessing non-hairy generalizations of the Schwarzschild black hole satisfying $g_{tt}g_{rr}=-1$ and by having second-order equations of motion when linearized around maximally symmetric backgrounds.
GQTGs for which the equation of the metric function $f(r)\equiv -g_{tt}$ is algebraic are called "Quasi-topological" and only exist for $D\geq 5$.
In this paper we prove that GQTG and Quasi-topological densities exist in general dimensions and at arbitrarily high curvature orders.

Built on

Y.-Z. Li, Holographic Studies of The Generic Massless Cubic Gravities , Phys. Rev. D99
Original
1901
Earlier work this paper cites.
H. Lu and R. Wen, Holographic (a,c)-charges and Their Universal Relation in d=6 from Massless Higher-order Gravities , 1901.11037
Original
1901
Earlier work this paper cites.
M. Mir, R. A. Hennigar, J. Ahmed and R. B. Mann, Black hole chemistry and holography in generalized quasi-topological gravity , JHEP 08
Original
1902
Earlier work this paper cites.
M. Mir and R. B. Mann, On generalized quasi-topological cubic-quartic gravity: thermodynamics and holography , JHEP 07
Original
1902
Earlier work this paper cites.
M. R. Mehdizadeh and A. H. Ziaie, Traversable wormholes in Einsteinian cubic gravity , 1903.10907
Original
1903
Earlier work this paper cites.
C. Erices, E. Papantonopoulos and E. N. Saridakis, Cosmology in cubic and f ⁡ ( P ) f(P) gravity , 1903.11128
Original
1903
Earlier work this paper cites.
J. Jiang and X.-W. Li, Modified ”complexity equals action” conjecture , 1903.05476
Original
1903
Earlier work this paper cites.
W. T. Emond and N. Moynihan, Scattering Amplitudes, Black Holes and Leading Singularities in Cubic Theories of Gravity , 1905.08213
Original
1905
Earlier work this paper cites.
P. Bueno, P. A. Cano, J. Moreno and A. Murcia, All higher-curvature gravities as Generalized quasi-topological gravities , 1906.00987
Original
1906
Earlier work this paper cites.
R. L. Arnowitt, S. Deser and C. W. Misner, Canonical variables for general relativity , Phys. Rev. 117
1960
Earlier work this paper cites.
R. Arnowitt, S. Deser and C. W. Misner, Energy and the Criteria for Radiation in General Relativity , Phys. Rev. 118
1960
Earlier work this paper cites.
R. L. Arnowitt, S. Deser and C. W. Misner, Coordinate invariance and energy expressions in general relativity , Phys. Rev. 122
1961
Earlier work this paper cites.
D. Lovelock, Divergence-free tensorial concomitants , aequationes mathematicae 4
1970
Earlier work this paper cites.
D. Lovelock, The Einstein tensor and its generalizations , J. Math. Phys. 12
1971
Earlier work this paper cites.
R. S. Palais, The principle of symmetric criticality , Commun. Math. Phys. 69
1979
Earlier work this paper cites.
D. G. Boulware and S. Deser, String Generated Gravity Models , Phys. Rev. Lett. 55
1985
Earlier work this paper cites.
J. T. Wheeler, Symmetric Solutions to the Gauss-Bonnet Extended Einstein Equations , Nucl. Phys. B268
1986
Earlier work this paper cites.
J. T. Wheeler, Symmetric Solutions to the Maximally Gauss-Bonnet Extended Einstein Equations , Nucl. Phys. B273
1986
Earlier work this paper cites.
T. Jacobson, G. Kang and R. C. Myers, On black hole entropy , Phys. Rev. D49
1994
Earlier work this paper cites.
R.-G. Cai, Gauss-Bonnet black holes in AdS spaces , Phys. Rev. D65
2002
Earlier work this paper cites.
S. Deser and B. Tekin, Shortcuts to high symmetry solutions in gravitational theories , Class. Quant. Grav. 20
2003
Earlier work this paper cites.