Built on

M. Mir, R. A. Hennigar, J. Ahmed and R. B. Mann, Black hole chemistry and holography in generalized quasi-topological gravity
Original
1902
Earlier work this paper cites.
M. Mir and R. B. Mann, On generalized quasi-topological cubic-quartic gravity: thermodynamics and holography
Original
1902
Earlier work this paper cites.
M. R. Mehdizadeh and A. H. Ziaie, Traversable wormholes in Einsteinian cubic gravity
Original
1903
Earlier work this paper cites.
Event Horizon Telescope
Original
1906
Earlier work this paper cites.
P. Bueno, P. A. Cano, J. Moreno and Á. Murcia, All higher-curvature gravities as Generalized quasi-topological gravities
Original
1906
Earlier work this paper cites.
P. Bueno, P. A. Cano and R. A. Hennigar, (Generalized) quasi-topological gravities at all orders
Original
1909
Earlier work this paper cites.
P. A. Cano and D. Pereñiguez, Extremal Rotating Black Holes in Einsteinian Cubic Gravity
Original
1910
Earlier work this paper cites.
R. L. Arnowitt, S. Deser and C. W. Misner, Canonical variables for general relativity
1960
Earlier work this paper cites.
R. Arnowitt, S. Deser and C. W. Misner, Energy and the Criteria for Radiation in General Relativity
1960
Earlier work this paper cites.
R. L. Arnowitt, S. Deser and C. W. Misner, Coordinate invariance and energy expressions in general relativity
1961
Earlier work this paper cites.
D. Lovelock, Divergence-free tensorial concomitants
1970
Earlier work this paper cites.
H. A. Buchdahl, Non-linear Lagrangians and cosmological theory
1970
Earlier work this paper cites.
D. Lovelock, The Einstein tensor and its generalizations
1971
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.
A. A. Starobinsky, A New Type of Isotropic Cosmological Models Without Singularity
1980
Earlier work this paper cites.
P. Teyssandier and P. Tourrenc, The Cauchy problem for the R+R**2 theories of gravity without torsion
1983
Earlier work this paper cites.
Chicago Univ. Pr., Chicago, USA, 1984
R. M. Wald, General Relativity · 1984
Earlier work this paper cites.
C. G. Callan, Jr., E. J. Martinec, M. J. Perry and D. Friedan, Strings in Background Fields
1985
Earlier work this paper cites.
B. Zwiebach, Curvature Squared Terms and String Theories
1985
Earlier work this paper cites.
D. G. Boulware and S. Deser, String Generated Gravity Models
1985
Earlier work this paper cites.
M. T. Grisaru and D. Zanon, σ \sigma Model Superstring Corrections to the Einstein-hilbert Action
1986
Earlier work this paper cites.
D. J. Gross and E. Witten, Superstring Modifications of Einstein’s Equations
1986
Earlier work this paper cites.
J. T. Wheeler, Symmetric Solutions to the Gauss-Bonnet Extended Einstein Equations
1986
Earlier work this paper cites.
D. J. Gross and J. H. Sloan, The Quartic Effective Action for the Heterotic String
1987
Earlier work this paper cites.
D. L. Wiltshire, Black Holes in String Generated Gravity Models
1988
Earlier work this paper cites.
R. C. Myers and J. Z. Simon, Black Hole Thermodynamics in Lovelock Gravity
1988
Earlier work this paper cites.
J. D. Barrow and S. Cotsakis, Inflation and the Conformal Structure of Higher Order Gravity Theories
1988
Earlier work this paper cites.
E. A. Bergshoeff and M. de Roo, The Quartic Effective Action of the Heterotic String and Supersymmetry
1989
Earlier work this paper cites.
J. M. Maldacena, The Large N limit of superconformal field theories and supergravity
1998
Earlier work this paper cites.
S. S. Gubser, I. R. Klebanov and A. M. Polyakov, Gauge theory correlators from noncritical string theory
1998
Earlier work this paper cites.
E. Witten, Anti-de Sitter space and holography
1998
Earlier work this paper cites.
S. S. Gubser, I. R. Klebanov and A. A. Tseytlin, Coupling constant dependence in the thermodynamics of N=4 supersymmetric Yang-Mills theory
1998
Earlier work this paper cites.
L. Girardello, M. Petrini, M. Porrati and A. Zaffaroni, Novel local CFT and exact results on perturbations of N=4 superYang Mills from AdS dynamics
1998
Earlier work this paper cites.
D. Z. Freedman, S. S. Gubser, K. Pilch and N. P. Warner, Renormalization group flows from holography supersymmetry and a c theorem
1999
Earlier work this paper cites.
P. Bueno, P. A. Cano, R. A. Hennigar, V. A. Penas and A. Ruipérez, Partition functions on slightly squashed spheres and flux parameters
Original
2001
Earlier work this paper cites.
A. M. Frassino and J. V. Rocha, Charged black holes in Einsteinian cubic gravity and nonuniqueness
Original
2002
Earlier work this paper cites.
R.-G. Cai, Gauss-Bonnet black holes in AdS spaces
2002
Earlier work this paper cites.
M. Kord Zangeneh and A. Kazemi, Topological Born–Infeld charged black holes in Einsteinian cubic gravity
Original
2003
Earlier work this paper cites.

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Then

P. Bueno, R. C. Myers and W. Witczak-Krempa, Universality of corner entanglement in conformal field theories
Original
2015
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P. Bueno and R. C. Myers, Corner contributions to holographic entanglement entropy
Original
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2023

On the classification of Generalized Quasitopological Gravities

Moreno, Javier, Murcia, Ángel J.

Understand

Generalized Quasitopological Gravities (GQTGs) are higher-order extensions of Einstein gravity in $D$ dimensions satisfying a number of interesting properties, such as possessing second-order linearized equations of motion on top of maximally symmetric backgrounds, admitting non-hairy generalizations of the Schwarzschild-Tangherlini black hole which are characterized by a single metric function or forming a perturbative spanning set of the space of effective theories of gravity.

In this work, we classify all inequivalent GQTGs at all curvature orders $n$ and spacetime dimension $D \geq 4$.
This is achieved after the explicit construction of a dictionary that allows the uplift of expressions evaluated on a single-function static and spherically symmetric ansatz into fully covariant ones.
On the one hand, applying such prescription for $D \geq 5$, we find the explicit covariant form of the unique inequivalent Quasitopological Gravity that exists at each $n$ and, for the first time, the covariant expressions of the $n-2$ inequivalent proper GQTGs existing at every curvature order $n$.

Built on

M. Mir, R. A. Hennigar, J. Ahmed and R. B. Mann, Black hole chemistry and holography in generalized quasi-topological gravity
Original
1902
Earlier work this paper cites.
M. Mir and R. B. Mann, On generalized quasi-topological cubic-quartic gravity: thermodynamics and holography
Original
1902
Earlier work this paper cites.
M. R. Mehdizadeh and A. H. Ziaie, Traversable wormholes in Einsteinian cubic gravity
Original
1903
Earlier work this paper cites.
Event Horizon Telescope
Original
1906
Earlier work this paper cites.
P. Bueno, P. A. Cano, J. Moreno and Á. Murcia, All higher-curvature gravities as Generalized quasi-topological gravities
Original
1906
Earlier work this paper cites.
P. Bueno, P. A. Cano and R. A. Hennigar, (Generalized) quasi-topological gravities at all orders
Original
1909
Earlier work this paper cites.
P. A. Cano and D. Pereñiguez, Extremal Rotating Black Holes in Einsteinian Cubic Gravity
Original
1910
Earlier work this paper cites.
R. L. Arnowitt, S. Deser and C. W. Misner, Canonical variables for general relativity
1960
Earlier work this paper cites.
R. Arnowitt, S. Deser and C. W. Misner, Energy and the Criteria for Radiation in General Relativity
1960
Earlier work this paper cites.
R. L. Arnowitt, S. Deser and C. W. Misner, Coordinate invariance and energy expressions in general relativity
1961
Earlier work this paper cites.
D. Lovelock, Divergence-free tensorial concomitants
1970
Earlier work this paper cites.
H. A. Buchdahl, Non-linear Lagrangians and cosmological theory
1970
Earlier work this paper cites.
D. Lovelock, The Einstein tensor and its generalizations
1971
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.
A. A. Starobinsky, A New Type of Isotropic Cosmological Models Without Singularity
1980
Earlier work this paper cites.
P. Teyssandier and P. Tourrenc, The Cauchy problem for the R+R**2 theories of gravity without torsion
1983
Earlier work this paper cites.
Chicago Univ. Pr., Chicago, USA, 1984
R. M. Wald, General Relativity · 1984
Earlier work this paper cites.
C. G. Callan, Jr., E. J. Martinec, M. J. Perry and D. Friedan, Strings in Background Fields
1985
Earlier work this paper cites.
B. Zwiebach, Curvature Squared Terms and String Theories
1985
Earlier work this paper cites.
D. G. Boulware and S. Deser, String Generated Gravity Models
1985
Earlier work this paper cites.
M. T. Grisaru and D. Zanon, σ \sigma Model Superstring Corrections to the Einstein-hilbert Action
1986
Earlier work this paper cites.
D. J. Gross and E. Witten, Superstring Modifications of Einstein’s Equations
1986
Earlier work this paper cites.
J. T. Wheeler, Symmetric Solutions to the Gauss-Bonnet Extended Einstein Equations
1986
Earlier work this paper cites.
D. J. Gross and J. H. Sloan, The Quartic Effective Action for the Heterotic String
1987
Earlier work this paper cites.
D. L. Wiltshire, Black Holes in String Generated Gravity Models
1988
Earlier work this paper cites.
R. C. Myers and J. Z. Simon, Black Hole Thermodynamics in Lovelock Gravity
1988
Earlier work this paper cites.
J. D. Barrow and S. Cotsakis, Inflation and the Conformal Structure of Higher Order Gravity Theories
1988
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E. A. Bergshoeff and M. de Roo, The Quartic Effective Action of the Heterotic String and Supersymmetry
1989
Earlier work this paper cites.
J. M. Maldacena, The Large N limit of superconformal field theories and supergravity
1998
Earlier work this paper cites.
S. S. Gubser, I. R. Klebanov and A. M. Polyakov, Gauge theory correlators from noncritical string theory
1998
Earlier work this paper cites.
E. Witten, Anti-de Sitter space and holography
1998
Earlier work this paper cites.
S. S. Gubser, I. R. Klebanov and A. A. Tseytlin, Coupling constant dependence in the thermodynamics of N=4 supersymmetric Yang-Mills theory
1998
Earlier work this paper cites.
L. Girardello, M. Petrini, M. Porrati and A. Zaffaroni, Novel local CFT and exact results on perturbations of N=4 superYang Mills from AdS dynamics
1998
Earlier work this paper cites.
D. Z. Freedman, S. S. Gubser, K. Pilch and N. P. Warner, Renormalization group flows from holography supersymmetry and a c theorem
1999
Earlier work this paper cites.
P. Bueno, P. A. Cano, R. A. Hennigar, V. A. Penas and A. Ruipérez, Partition functions on slightly squashed spheres and flux parameters
Original
2001
Earlier work this paper cites.
A. M. Frassino and J. V. Rocha, Charged black holes in Einsteinian cubic gravity and nonuniqueness
Original
2002
Earlier work this paper cites.
R.-G. Cai, Gauss-Bonnet black holes in AdS spaces
2002
Earlier work this paper cites.
M. Kord Zangeneh and A. Kazemi, Topological Born–Infeld charged black holes in Einsteinian cubic gravity
Original
2003
Earlier work this paper cites.

Similar

I. Quiros, R. García-Salcedo, T. Gonzalez, J. L. M. Martínez and U. Nucamendi, Global asymptotic dynamics of cosmological Einsteinian cubic gravity
Original
2003
Cited alongside, same era.
C. Adair, P. Bueno, P. A. Cano, R. A. Hennigar and R. B. Mann, Slowly rotating black holes in Einsteinian cubic gravity
Original
2004
Cited alongside, same era.
M. Marciu, Dynamical aspects for scalar fields coupled to cubic contractions of the Riemann tensor
Original
2004
Cited alongside, same era.
Cambridge University Press, 2005
S. Weinberg, The Quantum theory of fields. Vol. 1: Foundations · 2005
Cited alongside, same era.
A. Buchel, J. T. Liu and A. O. Starinets, Coupling constant dependence of the shear viscosity in N=4 supersymmetric Yang-Mills theory
2005

Then

P. Bueno, R. C. Myers and W. Witczak-Krempa, Universality of corner entanglement in conformal field theories
Original
2015
Later among the works it cites.
P. Bueno and R. C. Myers, Corner contributions to holographic entanglement entropy
Original
2015
Later among the works it cites.
P. Bueno and P. A. Cano, Four-dimensional black holes in Einsteinian cubic gravity
Original
2016
Later among the works it cites.
C.-S. Chu and R.-X. Miao, Universality in the shape dependence of holographic Rényi entropy for general higher derivative gravity
Original
2016
Later among the works it cites.
P. Bueno and P. A. Cano, Einsteinian cubic gravity
Original

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

Cited alongside, same era.

S. Deser and A. V. Ryzhov, Curvature invariants of static spherically symmetric geometries

2005

Cited alongside, same era.

H. Khodabakhshi, A. Giaimo and R. B. Mann, Einstein Quartic Gravity: Shadows, Signals, and Stability