Built on

G. W. Horndeski, Second-order scalar-tensor field equations in a four-dimensional space
1974
Earlier work this paper cites.
G. W. Horndeski, Conservation of charge and the Einstein-Maxwell field equations
1987
Earlier work this paper cites.
A. G. Riess et al., Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
1998
Earlier work this paper cites.
S. Perlmutter et al., Measurements of Ω \Omega and Λ \Lambda from 42 High-Redshift Supernovae
1999
Earlier work this paper cites.
G. Dvali, G. Gabadadze, and M. Porrati, 4D gravity on a brane in 5D Minkowski space
2000
Earlier work this paper cites.
T. Chiba, T. Okabe, and M. Yamaguchi, Kinetically driven quintessence
2000
Earlier work this paper cites.
C. Armendariz-Picon, V. Mukhanov, and P. J. Steinhardt, Dynamical Solution to the Problem of a Small Cosmological Constant and Late-Time Cosmic Acceleration
2000
Earlier work this paper cites.
M. A. Luty, M. Porrati, and R. Rattazzi, Strong interactions and stability in the DGP model
2003
Earlier work this paper cites.
A. Nicolis and R. Rattazzi, Classical and Quantum Consistency of the DGP Model
2004
Earlier work this paper cites.
A. Nicolis, R. Rattazzi, and E. Trincherini, Galileon as a local modification of gravity
Original
2009
Earlier work this paper cites.
C. Deffayet, G. Esposito-Farèse, and A. Vikman, Covariant Galileon
Original
2009
Earlier work this paper cites.
S. Tsujikawa, Modified Gravity Models of Dark Energy
Original
2010
Earlier work this paper cites.
C. de Rham and G. Gabadadze, Generalization of the Fierz-Pauli action
Original
2010
Earlier work this paper cites.
C. de Rham, G. Gabadadze, and A. J. Tolley, Resummation of Massive Gravity
Original
2011
Earlier work this paper cites.

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2016

Extended vector-tensor theories

Kimura, Rampei, Naruko, Atsushi, Yoshida, Daisuke

Understand

Recently, several extensions of massive vector theory in curved space-time have been proposed in many literatures.

In this paper, we consider the most general vector-tensor theories that contain up to two derivatives with respect to metric and vector field.
By imposing a degeneracy condition of the Lagrangian in the context of ADM decomposition of space-time to eliminate an unwanted mode, we construct a new class of massive vector theories where five degrees of freedom can propagate, corresponding to three for massive vector modes and two for massless tensor modes.
We find that the generalized Proca and the beyond generalized Proca theories up to the quartic Lagrangian, which should be included in this formulation, are degenerate theories even in curved space-time.

Built on

G. W. Horndeski, Second-order scalar-tensor field equations in a four-dimensional space
1974
Earlier work this paper cites.
G. W. Horndeski, Conservation of charge and the Einstein-Maxwell field equations
1987
Earlier work this paper cites.
A. G. Riess et al., Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
1998
Earlier work this paper cites.
S. Perlmutter et al., Measurements of Ω \Omega and Λ \Lambda from 42 High-Redshift Supernovae
1999
Earlier work this paper cites.
G. Dvali, G. Gabadadze, and M. Porrati, 4D gravity on a brane in 5D Minkowski space
2000
Earlier work this paper cites.
T. Chiba, T. Okabe, and M. Yamaguchi, Kinetically driven quintessence
2000
Earlier work this paper cites.
C. Armendariz-Picon, V. Mukhanov, and P. J. Steinhardt, Dynamical Solution to the Problem of a Small Cosmological Constant and Late-Time Cosmic Acceleration
2000
Earlier work this paper cites.
M. A. Luty, M. Porrati, and R. Rattazzi, Strong interactions and stability in the DGP model
2003
Earlier work this paper cites.
A. Nicolis and R. Rattazzi, Classical and Quantum Consistency of the DGP Model
2004
Earlier work this paper cites.
A. Nicolis, R. Rattazzi, and E. Trincherini, Galileon as a local modification of gravity
Original
2009
Earlier work this paper cites.
C. Deffayet, G. Esposito-Farèse, and A. Vikman, Covariant Galileon
Original
2009
Earlier work this paper cites.
S. Tsujikawa, Modified Gravity Models of Dark Energy
Original
2010
Earlier work this paper cites.
C. de Rham and G. Gabadadze, Generalization of the Fierz-Pauli action
Original
2010
Earlier work this paper cites.
C. de Rham, G. Gabadadze, and A. J. Tolley, Resummation of Massive Gravity
Original
2011
Earlier work this paper cites.