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J A Wheeler, K Ford. Geons, Black Holes, and Quantum Foam, 1995; L Smolin, L Crane, Space-Time Foam as the Universal Regulator, General Relativity and Gravitation, Vol. 17, No. 12 (1985)
1985
Earlier work this paper cites.
J Lee, R M Wald, Local symmetries and constraints, J. Math. Phys., vol. 31
1994
Earlier work this paper cites.
T Jacobson, Thermodynamics of spacetime: the Einstein equation of state, Phys.Rev.Lett. 75 (1995) 1260-1263, [arXiv:gr-qc/9504004]
1995
Earlier work this paper cites.
A Strominger, C Vafa, Microscopic origin of the Bekenstein-Hawking entropy, Phys.Lett.B379:99-104,1996, [arXiv:9601029v2[hep-th]]
1996
Earlier work this paper cites.
R C Myers, Black Holes in higher curvature gravity, Black Holes, Gravitational Radiation, and the Universe: Essays in Honor of C.V. Vishveshwara, eds., C.V. Vishveshwara, B.R. Iyer, B. Bhawal (1998) and references therein
1998
Earlier work this paper cites.
T Padmanabhan, Entropy of Static Spacetimes and Microscopic Density of States,Class.Quant.Grav. 21 (2004) 4485-4494, [arXiv:0308070[gr-qc]]
Original
2004
Earlier work this paper cites.

Similar

Rong-Gen Cai, Sang Pyo Kim, First law of thermodynamics and Friedmann equations of Friedmann-Robertson-Walker universe, JHEP 0502:050 (2005) [e-Print: hep-th/0501055]; R A Konoplya, Entropic force, holography and thermodynamics for static space-times, [arXiv:1002.2818v2 [hep-th]]
Original
2005
Cited alongside, same era.
T. Padmanabhan, Gravitational entropy of static space-times and microscopic density of states, (IUCAA, Pune) Class. Quant. Grav. 21, 4485-4494 (2004) [e-Print: gr-qc/0308070]; A Mukhopadhyay, T Padmanabhan, Holography of Gravitational Action Functionals Phys. Rev. D 74
2006
Cited alongside, same era.
K Krasnov, C Rovelli, Black holes in full quantum gravity, Class. Quant. Grav. 26, 245009 (2009) [arXiv:0905.4916 [gr-qc]]; J Engle, A Perez, K Noui, Black hole entropy and SU(2) Chern-Simons theory, [arXiv:0905.3168]; C Rovelli, Black Hole Entropy from Loop Quantum Gravity, Phys. Rev. Lett.77:3288-3291 (1996), [arXiv:gr-qc/9603063]; O Dreyer, F Markopoulou, L Smolin, Symmetry and entropy of black hole horizons, Nucl.Phys. B744 (2006) [arXiv:hep-th/0409056]
Original
2006
Cited alongside, same era.
L Modesto, P Nicolini, The microstructure of a quantum universe [arXiv:0912.0220 [hep-ph]]; P Nicolini, Int. J. Mod. Phys. A24, 1229-1308 (2009) [arXiv:0807.1939 [hep-th]]; Noncommutative Black Holes, The Final Appeal To Quantum Gravity: A Review P Nicolini, A Smailagic and E Spallucci, Noncommutative geometry inspired Schwarzschild black hole, Phys. Lett. B 632, 547 (2006) [arXiv:gr-qc/0510112]

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2010

Holographic actions from black hole entropy

Caravelli, Francesco, Modesto, Leonardo

Understand

Using the Wald's relation between the Noether charge of diffeomorphisms and the entropy for a generic spacetime possessing a bifurcation surface, we introduce a method to obtain a family of higher order derivatives effective actions from the entropy of black holes.

Our point of view is to consider fundamental the black hole entropy and the action an emerged object.
We then specialize to a particular class of effective theories: the f(R) theories.
We apply the idea, using a simple mind ansatz, to loop quantum gravity and to a general class of log-corrected entropy formulas.

Built on

J A Wheeler, K Ford. Geons, Black Holes, and Quantum Foam, 1995; L Smolin, L Crane, Space-Time Foam as the Universal Regulator, General Relativity and Gravitation, Vol. 17, No. 12 (1985)
1985
Earlier work this paper cites.
J Lee, R M Wald, Local symmetries and constraints, J. Math. Phys., vol. 31
1994
Earlier work this paper cites.
T Jacobson, Thermodynamics of spacetime: the Einstein equation of state, Phys.Rev.Lett. 75 (1995) 1260-1263, [arXiv:gr-qc/9504004]
1995
Earlier work this paper cites.
A Strominger, C Vafa, Microscopic origin of the Bekenstein-Hawking entropy, Phys.Lett.B379:99-104,1996, [arXiv:9601029v2[hep-th]]
1996
Earlier work this paper cites.
R C Myers, Black Holes in higher curvature gravity, Black Holes, Gravitational Radiation, and the Universe: Essays in Honor of C.V. Vishveshwara, eds., C.V. Vishveshwara, B.R. Iyer, B. Bhawal (1998) and references therein
1998
Earlier work this paper cites.
T Padmanabhan, Entropy of Static Spacetimes and Microscopic Density of States,Class.Quant.Grav. 21 (2004) 4485-4494, [arXiv:0308070[gr-qc]]
Original
2004
Earlier work this paper cites.

Similar

Rong-Gen Cai, Sang Pyo Kim, First law of thermodynamics and Friedmann equations of Friedmann-Robertson-Walker universe, JHEP 0502:050 (2005) [e-Print: hep-th/0501055]; R A Konoplya, Entropic force, holography and thermodynamics for static space-times, [arXiv:1002.2818v2 [hep-th]]
Original
2005
Cited alongside, same era.
T. Padmanabhan, Gravitational entropy of static space-times and microscopic density of states, (IUCAA, Pune) Class. Quant. Grav. 21, 4485-4494 (2004) [e-Print: gr-qc/0308070]; A Mukhopadhyay, T Padmanabhan, Holography of Gravitational Action Functionals Phys. Rev. D 74
2006
Cited alongside, same era.
K Krasnov, C Rovelli, Black holes in full quantum gravity, Class. Quant. Grav. 26, 245009 (2009) [arXiv:0905.4916 [gr-qc]]; J Engle, A Perez, K Noui, Black hole entropy and SU(2) Chern-Simons theory, [arXiv:0905.3168]; C Rovelli, Black Hole Entropy from Loop Quantum Gravity, Phys. Rev. Lett.77:3288-3291 (1996), [arXiv:gr-qc/9603063]; O Dreyer, F Markopoulou, L Smolin, Symmetry and entropy of black hole horizons, Nucl.Phys. B744 (2006) [arXiv:hep-th/0409056]
Original
2006
Cited alongside, same era.
L Modesto, P Nicolini, The microstructure of a quantum universe [arXiv:0912.0220 [hep-ph]]; P Nicolini, Int. J. Mod. Phys. A24, 1229-1308 (2009) [arXiv:0807.1939 [hep-th]]; Noncommutative Black Holes, The Final Appeal To Quantum Gravity: A Review P Nicolini, A Smailagic and E Spallucci, Noncommutative geometry inspired Schwarzschild black hole, Phys. Lett. B 632, 547 (2006) [arXiv:gr-qc/0510112]

Then

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

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Original

2006

Cited alongside, same era.

R Brustein, D Gorbonos, M Hadad, Wald’s entropy is equal to a quarter of the horizon area in units of the effective gravitational coupling, Phys. Rev. D 79, 044025 (2009) [arXiv:0712.3206v3]

Original

2009

Cited alongside, same era.

T Padmanabhan, Thermodynamical aspects of gravity: new insights [arXiv:0911.5004v1]

Original

Cited in the paper.

Erik P Verlinde, On the Origin of Gravity and the Laws of Newton [arXiv:1001.0785v1]; J Makela, Quantum-Mechanical Model of Spacetime, [gr-qc/0701128];

Original

Cited in the paper.

L Smolin, Newtonian gravity in loop quantum gravity, [arXiv:1001.3668]

Original

Cited in the paper.

V Faraoni, T P Sotiriou, f ⁡ ( R ) f(R) Theories Of Gravity, [arXiv:0805.1726]

Original

Cited in the paper.

E Elizalde, P J Silva, F(R) gravity equationi of state, [arXiv:0804.3721]

Original

Cited in the paper.

Rong-Gen Cai, Li-Ming Cao, Nobuyoshi Ohta, Black Holes in Gravity with Conformal Anomaly and Logarithmic Term in Black Hole Entropy, [e-Print: arXiv:0911.4379 [hep-th]]

Original

Cited in the paper.

E Bianchi, Black Hole Entropy, Loop Gravity, and Polymer Physics, [arXiv:1011.5628]

Original

Cited in the paper.

Closest in time.

T. Padmanabhan, Gravity: A New Holographic Perspective, Int. J. Mod. Phys. D15 (2006) 1659-1676 [gr-qc/0606061]; T. Padmanabhan, A new perspective on Gravity and the dynamics of Spacetime, Int. J. Mod. Phys. D14 (2005) 2263-2270 [gr-qc/0510015v2]; T.Padmanabhan, The Holography of Gravity encoded in a relation between Entropy, Horizon area and Action for gravity, Gen.Rel.Grav. 34 (2002) 2029-2035 [gr-qc/0205090v1]

2035

Closest in time.