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R. Arnowitt, S. Deser and C.W. Misner: The dynamics of general relativity , in “Gravitation: an introduction to current research”, Wiley (1962), ed. L. Witten, arXiv:gr-qc/0405109v1
1962
Earlier work this paper cites.
B.S. DeWitt: Quantum theory of gravity. I. The canonical theory , Phys. Rev. 160
1967
Earlier work this paper cites.
J.W. York: Role of conformal three-geometry in the dynamics of gravitation , Phys. Rev. 28
1972
Earlier work this paper cites.
J.W. York: Conformally invariant orthogonal decomposition of symmetric tensors on Riemannian manifolds and the initial-value problem of general relativity , J. Math. Phys. 14
1973
Earlier work this paper cites.
K. Sundermeyer: Constrained dynamics , Lecture notes in physics 169
1982
Earlier work this paper cites.
M. Henneaux and C. Teitelboim: Quantization of gauge systems , Princeton University Press (1992)
1992
Earlier work this paper cites.
D. Giulini and C. Kiefer: Wheeler-DeWitt metric and the attractivity of gravity , Phys. Lett. A 193
1994
Earlier work this paper cites.
P.A.M. Dirac: Lectures on quantum mechanics , Dover Publications (2001), New York, USA
2001
Earlier work this paper cites.
P. Hořava: Quantum gravity at a Lifshitz point , Phys. Rev. D 79
Original
2009
Earlier work this paper cites.

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2014

More on "Little Lambda" in Ho\v{r}ava-Lifshitz Gravity

Loll, R., Pires, L.

Understand

We analyze different claims on the role of the coupling constant lambda in so-called lambda-R models, a minimal generalization of general relativity inspired by Horava-Lifshitz gravity.

The dimensionless parameter lambda appears in the kinetic term of the Einstein-Hilbert action, leading to a one-parameter family of classical theories.
Performing a canonical constraint analysis for closed spatial hypersurfaces, we obtain a result analogous to that of Bellorin and Restuccia, who showed that all non-projectable lambda-R models are equivalent to general relativity in the asymptotically flat case.
However, the tertiary constraint present for closed boundary conditions assumes a more general form.

Built on

R. Arnowitt, S. Deser and C.W. Misner: The dynamics of general relativity , in “Gravitation: an introduction to current research”, Wiley (1962), ed. L. Witten, arXiv:gr-qc/0405109v1
1962
Earlier work this paper cites.
B.S. DeWitt: Quantum theory of gravity. I. The canonical theory , Phys. Rev. 160
1967
Earlier work this paper cites.
J.W. York: Role of conformal three-geometry in the dynamics of gravitation , Phys. Rev. 28
1972
Earlier work this paper cites.
J.W. York: Conformally invariant orthogonal decomposition of symmetric tensors on Riemannian manifolds and the initial-value problem of general relativity , J. Math. Phys. 14
1973
Earlier work this paper cites.
K. Sundermeyer: Constrained dynamics , Lecture notes in physics 169
1982
Earlier work this paper cites.
M. Henneaux and C. Teitelboim: Quantization of gauge systems , Princeton University Press (1992)
1992
Earlier work this paper cites.
D. Giulini and C. Kiefer: Wheeler-DeWitt metric and the attractivity of gravity , Phys. Lett. A 193
1994
Earlier work this paper cites.
P.A.M. Dirac: Lectures on quantum mechanics , Dover Publications (2001), New York, USA
2001
Earlier work this paper cites.
P. Hořava: Quantum gravity at a Lifshitz point , Phys. Rev. D 79
Original
2009
Earlier work this paper cites.