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In the context of massive (bi-)gravity non-minimal matter couplings have been proposed.
1923
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M. Fierz and W. Pauli, On relativistic wave equations for particles of arbitrary spin in an electromagnetic field
1939
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1967
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H. van Dam and M. Veltman, Massive and massless Yang-Mills and gravitational fields
1970
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V. Zakharov, Linearized gravitation theory and the graviton mass
1970
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A. Vainshtein, To the problem of nonvanishing gravitation mass
1972
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D. G. Boulware and S. Deser, Can gravitation have a finite range?
1972
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G. W. Horndeski, Second-order scalar-tensor field equations in a four-dimensional space
1974
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G. W. Horndeski, Conservation of Charge and the Einstein-Maxwell Field Equations
1987
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S. Weinberg, The Cosmological Constant Problem
1989
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A. Nicolis, R. Rattazzi, and E. Trincherini, The Galileon as a local modification of gravity
2009
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C. Deffayet, G. Esposito-Farese, and A. Vikman, Covariant Galileon
2009
Earlier work this paper cites.
2009
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A. De Felice and S. Tsujikawa, Cosmology of a covariant Galileon field
2010
Earlier work this paper cites.
T. Kobayashi, M. Yamaguchi, and J. Yokoyama, G-inflation: Inflation driven by the Galileon field
2010
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G. Esposito-Farese, C. Pitrou, and J.-P. Uzan, Vector theories in cosmology
2010
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C. de Rham and G. Gabadadze, Generalization of the Fierz-Pauli Action
2010
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C. Deffayet, X. Gao, D. Steer, and G. Zahariade, From k-essence to generalised Galileons
2011
Earlier work this paper cites.
2011
Earlier work this paper cites.
X. Gao and D. A. Steer, Inflation and primordial non-Gaussianities of ’generalized Galileons’
2011
Cited alongside, same era.
X. Gao, Conserved cosmological perturbation in Galileon models
2011
Cited alongside, same era.
2011
Cited alongside, same era.
2011
Cited alongside, same era.
C. de Rham and L. Heisenberg, Cosmology of the Galileon from Massive Gravity
J. Noller and S. Melville, The coupling to matter in Massive, Bi- and Multi-Gravity
2015
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L. Heisenberg, Quantum corrections in massive bigravity and new effective composite metrics
2015
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2015
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L. Heisenberg, More on effective composite metrics
2015
Later among the works it cites.
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2011
Cited alongside, same era.
C. de Rham, G. Gabadadze, and A. J. Tolley, Resummation of Massive Gravity
2011
Cited alongside, same era.
S. Hassan and R. A. Rosen, On Non-Linear Actions for Massive Gravity
2011
Cited alongside, same era.
S. Hassan and R. A. Rosen, Resolving the Ghost Problem in non-Linear Massive Gravity
2012
Cited alongside, same era.
S. Hassan and R. A. Rosen, Bimetric Gravity from Ghost-free Massive Gravity
2012
Cited alongside, same era.
2013
Cited alongside, same era.
2013
Cited alongside, same era.
2013
Cited alongside, same era.
2015
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2015
Later among the works it cites.
2015
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2015
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2015
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X. Gao and D. Yoshida, Coupling between Galileon and massive gravity with composite metrics
2015
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2015
Later among the works it cites.
2015
Later among the works it cites.
L. Heisenberg, Non-minimal derivative couplings of the composite metric
2015
Later among the works it cites.
L. Blanchet and L. Heisenberg, Dark Matter via Massive (bi-)Gravity
2015
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L. Blanchet and L. Heisenberg, Dipolar Dark Matter with Massive Bigravity
2015
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L. Bernard, L. Blanchet, and L. Heisenberg, Bimetric gravity and dark matter · 2015
Later among the works it cites.
X. Gao and L. Heisenberg, Derivative couplings in massive bigravity
2016
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