Equivalent and inequivalent canonical structures of higher order theories of gravity

P. A. M. Dirac, Generalized Hamiltonian dynamics , Canad. J. Math. 2

1950

Earlier work this paper cites.

R. Arnowitt, S. Deser and C. Misner, Gravitation: An Introduction to Current Research, eds. L. Witten (Wiley, New York: Wiley , 1962) , pp. 227-265

1962

Earlier work this paper cites.

P. A. M. Dirac, Lectures on Quantum Mechanics (Belfer Graduate School of Science, Yeshiva University, New York, 1964)

1964

Earlier work this paper cites.

G. Gibbons and S. W. Hawking, Action integrals and partition functions in quantum gravity , Phys. Rev. D 15

1977

Earlier work this paper cites.

A. A. Starobinsky, A new type of isotropic cosmological models without singularity , Phys. Lett. B 91

1980

Earlier work this paper cites.

D. G. Boulware, Quantization of higher derivative theories of gravity , Quantum Theory of Gravity, ed. by S. M. Christensen, Adam Hilger Ltd. (1984), pp. 267-294

1984

Earlier work this paper cites.

G. T. Horowitz, Quantum cosmology with a positive-definite action , Phys. Rev. D 31

1985

Earlier work this paper cites.

J. W. York, Role of Conformal Three-Geometry in the Dynamics of Gravitation , Phys. Rev. Lett. 28

1985

Earlier work this paper cites.

G. T. Horowitz, Quantum cosmology with a positive-definite action , Phys. Rev. D 31

1985

Earlier work this paper cites.

E. S. Fradkin and A. A. Tseytlin, Non-linear electrodynamics from quantized strings , Phys. Lett. B 163

1985

Earlier work this paper cites.

J. Callan, et al., Strings in Background Fields , Nucl. Phys. B 262

1985

Earlier work this paper cites.

I. L. Buchbinder and S. L. Lyakhovich, Canonical quantisation and local measure of R 2 R^{2} gravity , Class. Quantum Grav. 4

1987

Earlier work this paper cites.

E. Bergshoeff, E. Sezgin, C. N. Pope and P. K. Townsend, The Born-Infeld action from conformal invariance of the open superstring , Phys. Lett. B 188

1987

Earlier work this paper cites.

D. J. Gross, J. H. Sloan, The quartic effective action for the heterotic string , Nucl. Phys. B 291

1987

Cited alongside, same era.

R. R. Metsaev, A. A. Tseytlin, Two-loop β \beta -function for the generalized bosonic sigma model , Phys. Lett. B 191

1987

Cited alongside, same era.

I. L. Buchbinder, I. Yu Karataeva and S. L. Lyakhovich, Multidimensional R 2 R^{2} gravity: the structure of constraints and canonical quantization Class. Quantum Grav. 8

1991

Cited alongside, same era.

J. D. Brown and J.W. York, Microcanonical functional integral for the gravitational field , Phys. Rev. D 47

1993

Cited alongside, same era.

M. C. Bento, O. Bertolami, Maximally symmetric cosmological solutions of higher-curvature string effective theories with dilatons , Phys. Lett. B 368

1996

Cited alongside, same era.

E. Dyer and K. Hinterbichler, Boundary terms, variational principles, and higher derivative modified gravity , Phys. Rev. D 79

2009

Later among the works it cites.

A. K. Sanyal, Transient crossing of phantom divide line ω Λ = − 1 \omega_{\Lambda}=-1 under Gauss–Bonnet interaction , Gen. Relativ. Grav. 41

Original

2009

Later among the works it cites.

N. Deruelle, M. Sasaki, Y. Sendouda and D. Yamauchi, Hamiltonian formulation of f(Riemann) theories of gravity , Prog.Theor.Phys. 123

Original

2010

Later among the works it cites.

A. K. Sanyal, C. Rubano and E. Piedipalumbo, Noether symmetry for Gauss–Bonnet dilatonic gravity , Gen. Relativ. Gravit. 43

Original

2011

Later among the works it cites.

A. K. Sanyal, S. Debnath and S. Ruz, Canonical formulation of the curvature-squared action in the presence of a lapse function , Class. Quantum Grav. 29