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2011

Canonical Analysis and Stability of Lanczos-Lovelock Gravity

Deser, S., Franklin, J.

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We perform a space-time analysis of the D>4 quadratic curvature Lanczos-Lovelock (LL) model, exhibiting its dependence on intrinsic/extrinsic curvatures, lapse and shifts.

As expected from general covariance, the field equations include D constraints, of zeroth and first time derivative order.
In the "linearized" - here necessarily cubic - limit, we give an explicit formulation in terms of the usual ADM metric decomposition, incidentally showing that time derivatives act only on its transverse-traceless spatial components.
Unsurprisingly, pure LL has no Hamiltonian formulation, nor are even its - quadratic - weak field constraints easily soluble.

Canonical Analysis and Stability of Lanczos-Lovelock Gravity · Around

Built on

R. Arnowitt, S. Deser, and C. W. Misner, Phys. Rev
1962
Earlier work this paper cites.
C. Lanczos, Ann. Math
1971
Earlier work this paper cites.
S. Deser, Phys. Rev. D
1975
Earlier work this paper cites.
S. Deser and C. J. Isham, Phys. Rev. D
1976
Earlier work this paper cites.

Similar

S. Deser and B. Zumino, Phys. Lett. B
1976
Cited alongside, same era.
S. Deser and C. Teitelboim, Phys. Rev. Lett
1977
Cited alongside, same era.
B. Zwiebach, Phys. Lett. B
1985
Cited alongside, same era.
D. Boulware and S. Deser, Phys. Rev. Lett
1985
Cited alongside, same era.

Then

C. Teitelboim and J. Zanelli, Class. Quant. Grav
1987
Later among the works it cites.
For a history, see for example S. Deser, Gen. Rel. Grav
2005
Later among the works it cites.
T. Baumgarte and S. Shapiro, “Numerical Relativity: Solving Einstein’s Equations on the Computer”, Cambridge (2010)
2010
Later among the works it cites.

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