2010

Consistent Levi Civita truncation uniquely characterizes the Lovelock Lagrangians

Dadhich, Naresh, Pons, Josep M.

Understand

We define the concept of Levi Civita truncation for a Lagrangian in the Palatini formulation with an arbitrary connection, and show that its consistency uniquely identifies the Lovelock Lagrangians.

Built on

A. Einstein, “Einheitliche Fieldtheorie von Gravitation und Elektrizität“, Pruess. Akad. Wiss
1925
Earlier work this paper cites.
D. Lovelock, “The Einstein tensor and its generalizations,” J. Math. Phys. 12 (1971) 498
1971
Earlier work this paper cites.
F. W. Hehl and G. D. Kerlick, “Metric-Affine Variational Principles in General Relativity. I. Riemannian Space-Time,” Gen. Rel. Grav. 9 (1978) 691
1978
Earlier work this paper cites.
A. Papapetrou and J. Stachel, “A New Lagrangian for the Vacuum Einstein Equations and Its Tetrad Form,” Gen. Rel. Grav. 9 (1978) 1075
1978
Earlier work this paper cites.
M. J. Duff, C. N. Pope, “Consistent Truncations In Kaluza-klein Theories,” Nucl. Phys. B255 (1985) 355-364
1985
Earlier work this paper cites.
R. C. Myers, “Higher derivative gravity, surface terms ans string theory,” Phys. Rev. D 36 (1987) 392
1987
Earlier work this paper cites.

Similar

R. Floreanini and R. Percacci, “Palatini formalism and new canonical variables for GL(4) invariant gravity,” Class. Quant. Grav. 7 (1990) 1805
1990
Cited alongside, same era.
R. Percacci, “The Higgs Phenomenon in Quantum Gravity,” Nucl. Phys. B 353 (1991) 271 [arXiv:0712.3545 [hep-th]]
Original
1991
Cited alongside, same era.
R. Troncoso, J. Zanelli, “Higher Dimensional Gravity, Propagating Torsion and AdS Gauge Invariance,” Class. Quant. Grav. 17 (2000) 4451 [arXiv:hep-th/9907109]
2000
Cited alongside, same era.
J. M. Pons and P. Talavera, “Truncations driven by constraints: Consistency and conditions for correct upliftings,” Nucl. Phys. B 703, 537 (2004) [arXiv:hep-th/0401162]
2004
Cited alongside, same era.
A. Mukhopadhyay and T. Padmanabhan, “Holography of gravitational action functionals,” Phys. Rev. D 74 (2006) 124023 [arXiv:hep-th/0608120]
2006
Cited alongside, same era.
N. Dadhich and J. M. Pons, “Equivalence of the Einstein-Hilbert and the Einstein-Palatini formulations of general relativity for an arbitrary connection,” arXiv:1010.0869 [gr-qc]
Original
Cited in the paper.
G. Giachetta and L. Mangiarotti, “Projective invariance and Einstein Equations,” arXiv:1010.0869 [gr-qc]
Original
Cited in the paper.
Q. Exirifard, “Generalized Lovelock gravity,” arXiv:0911.2872 [gr-qc]
Original
Cited in the paper.
J. M. Pons, “Substituting fields within the action: consistency issues and some applications,” arXiv:0909.4151 [hep-th]
Original
Cited in the paper.
The proof is by noticing that
Cited in the paper.
A. Yale and T. Padmanabhan, “Structure of Lanczos-Lovelock Lagrangians in Critical Dimensions,” arXiv:1008.5154 [gr-qc]
Original
Cited in the paper.

Then

Q. Exirifard and M. M. Sheikh-Jabbari, “Lovelock Gravity at the Crossroads of Palatini and Metric Formulations,” Phys. Lett. B 661 (2008) 158 [arXiv:0705.1879 [hep-th]]
Original
2008
Later among the works it cites.
M. Borunda, B. Janssen and M. Bastero-Gil, “Palatini versus metric formulation in higher curvature gravity,” JCAP 0811 (2008) 008 [arXiv:0804.4440 [hep-th]]
Original
2008
Later among the works it cites.
T. P. Sotiriou, “f(R) gravity, torsion and non-metricity,” Class. Quant. Grav. 26 (2009) 152001 [arXiv:0904.2774 [gr-qc]]
Original
2009
Later among the works it cites.
M. Bastero-Gil, M. Borunda and B. Janssen, “The Palatini formalism for higher-curvature gravity theories,” AIP Conf. Proc. 1122 (2009) 189 [arXiv:0901.1590 [hep-th]]
Original
2009
Later among the works it cites.
N. Dadhich, “Characterization of the Lovelock gravity by Bianchi derivative,” Pramana 74, (2010) 875 [arXiv:0802.3034 [gr-qc]]
Original
2010
Closest in time.

Beyond the bibliography

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

Open on alphaXiv

alphaXiv is searching for related work…

Reading the bibliography…