Built on

P. A. M. Dirac, Lectures on Quantum Mechanics
1964
Earlier work this paper cites.
D. Boulware and S. Deser, Can gravitation have a finite range?
1972
Earlier work this paper cites.
M. Ryan, Hamiltonian Cosmology
1972
Earlier work this paper cites.
J. Kluson, Hamiltonian Formalism of Bimetric Gravity In Vierbein Formulation
Original
1974
Earlier work this paper cites.
K. Kuchar̆, Geometry of hyperspace. I
1976
Earlier work this paper cites.
K. Kuchar̆, Kinematics of tensor fields in hyperspace. II
1976
Earlier work this paper cites.
K. Kuchar̆, Dynamics of tensor fields in hyperspace. III
1976
Earlier work this paper cites.
K. Kuchar̆, Geometrodynamics with tensor sources. IV
1977
Earlier work this paper cites.
S. Deser and C. J. Isham. Phys. Rev
1978
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D. Fairlie, A. Leznov, General solutions of the Monge-Ampère equation in n n -dimensional space
1995
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C. de Rham and G. Gabadadze, Generalization of the Fierz-Pauli action
Original
2010
Earlier work this paper cites.

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Then

V. O. Soloviev, M. V. Tchichikina, Bigravity in Kuchar̆’s Hamiltonian formalism: The special case
Original
2013
Later among the works it cites.
D. Comelli, F. Nesti, L. Pilo, Weak massive gravity, Phys. Rev
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2013
Later among the works it cites.
S. Alexandrov, K. Krasnov, and S. Speziale, Chiral description of ghost-free massive gravity
Original
2013
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Y. Akrami, T. S. Koivisto, and M. Sandstad, Accelerated expansion from ghost-free bigravity: a statistical analysis with improved generality
Original
2013
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Y. Akrami, T. S. Koivisto, D. F. Mota, and M. Sandstad, Bimetric gravity doubly coupled to matter: theory and cosmological implications

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2015

Hamiltonian cosmology in bigravity and massive gravity

Soloviev, Vladimir O.

Understand

In the Hamiltonian language we provide a study of flat-space cosmology in bigravity and massive gravity constructed mostly with de Rham, Gabadadze, Tolley (dRGT) potential.

It is demonstrated that the Hamiltonian methods are powerful not only in proving the absence of the Boulware-Deser ghost, but also in solving other problems.
The purpose of this work is to give an introduction both to the Hamiltonian formalism and to the cosmology of bigravity.
We sketch three roads to the Hamiltonian of bigravity with the dRGT potential: the metric, the tetrad and the minisuperspace approaches.

Built on

P. A. M. Dirac, Lectures on Quantum Mechanics
1964
Earlier work this paper cites.
D. Boulware and S. Deser, Can gravitation have a finite range?
1972
Earlier work this paper cites.
M. Ryan, Hamiltonian Cosmology
1972
Earlier work this paper cites.
J. Kluson, Hamiltonian Formalism of Bimetric Gravity In Vierbein Formulation
Original
1974
Earlier work this paper cites.
K. Kuchar̆, Geometry of hyperspace. I
1976
Earlier work this paper cites.
K. Kuchar̆, Kinematics of tensor fields in hyperspace. II
1976
Earlier work this paper cites.
K. Kuchar̆, Dynamics of tensor fields in hyperspace. III
1976
Earlier work this paper cites.
K. Kuchar̆, Geometrodynamics with tensor sources. IV
1977
Earlier work this paper cites.
S. Deser and C. J. Isham. Phys. Rev
1978
Earlier work this paper cites.
D. Fairlie, A. Leznov, General solutions of the Monge-Ampère equation in n n -dimensional space
1995
Earlier work this paper cites.
C. de Rham and G. Gabadadze, Generalization of the Fierz-Pauli action
Original
2010
Earlier work this paper cites.