Built on

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1938
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2017

Beyond Lovelock gravity: Higher derivative metric theories

Crisostomi, Marco, Noui, Karim, Charmousis, Christos et al.

Understand

We consider theories describing the dynamics of a four-dimensional metric, whose Lagrangian is diffeomorphism invariant and depends at most on second derivatives of the metric.

Imposing degeneracy conditions we find a set of Lagrangians that, apart form the Einstein-Hilbert one, are either trivial or contain more than two degrees of freedom.
Among the partially degenerate theories, we recover Chern-Simons gravity, endowed with constraints whose structure suggests the presence of instabilities.
Then, we enlarge the class of parity violating theories of gravity by introducing new "chiral scalar-tensor theories".

Built on

T. Y. Thomas, “The differential invariants of generalized spaces”, Cambridge University Press (1934)
1934
Earlier work this paper cites.
C. Lanczos, Annals Math. 39
1938
Earlier work this paper cites.
J. Gleyzes, D. Langlois, F. Piazza and F. Vernizzi, JCAP 1502
Original
1952
Earlier work this paper cites.
D. Lovelock, Archive for Rational Mechanics and Analysis 33 (1969)
1969
Earlier work this paper cites.
D. Lovelock, J. Math. Phys. 12
1971
Earlier work this paper cites.
D. G. Boulware, Quantization of higher derivative theories of gravity, in Quantum Theory of Gravity: Essays in Honor of the Sixties Birthday of Bryce S. DeWitt
1984
Earlier work this paper cites.
R. Jackiw and S. Y. Pi, Phys. Rev. D 68
2003
Earlier work this paper cites.
D. Comelli, Phys. Rev. D 72
2005
Earlier work this paper cites.
R. P. Woodard, Lect. Notes Phys. 720
2007
Earlier work this paper cites.
B. A. Campbell, M. J. Duncan, N. Kaloper and K. A. Olive, Nucl. Phys. B 351
Original
2008
Earlier work this paper cites.
S. Alexander and N. Yunes, Phys. Rept. 480
Original
2009
Earlier work this paper cites.
N. Deruelle, M. Sasaki, Y. Sendouda and D. Yamauchi, Prog. Theor. Phys. 123 (2010) [arXiv:0908.0679[hep-th]]
Original
2010
Earlier work this paper cites.
T. P. Sotiriou and V. Faraoni, Rev. Mod. Phys. 82
Original
2010
Earlier work this paper cites.