Built on

D. Boulware and S. Deser, Can gravitation have a finite range?
1972
Earlier work this paper cites.
A. Vainshtein, To the problem of nonvanishing gravitation mass
1972
Earlier work this paper cites.
C. J. Isham and J. E. Nelson, Quantization of a Coupled Fermi Field and Robertson-Walker Metric
1974
Earlier work this paper cites.
D. Comelli, M. Crisostomi, and L. Pilo, Perturbations in Massive Gravity Cosmology
Original
1986
Earlier work this paper cites.
A. Higuchi, Forbidden Mass Range for Spin-2 Field Theory in De Sitter Space-time
1987
Earlier work this paper cites.
Graduate Texts in Contemporary Physics. Springer-Verlag, New York, 1997
P. Di Francesco, P. Mathieu, and D. Senechal, Conformal Field Theory · 1997
Earlier work this paper cites.
N. Arkani-Hamed, H. Georgi, and M. D. Schwartz, Effective field theory for massive gravitons and gravity in theory space
2003
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A. R. Sahin, Einstein Equations for Tetrad Fields
2006
Earlier work this paper cites.
Cambridge University Press, 2008
T. Thiemann, Modern canonical quantum general relativity · 2008
Earlier work this paper cites.
A. Nicolis, R. Rattazzi, and E. Trincherini, The Galileon as a local modification of gravity
Original
2009
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.
S. Hassan and R. A. Rosen, On Non-Linear Actions for Massive Gravity
Original
2011
Earlier work this paper cites.
S. Hassan and R. A. Rosen, Resolving the Ghost Problem in non-Linear Massive Gravity
Original
2012
Earlier work this paper cites.
S. Hassan and R. A. Rosen, Bimetric Gravity from Ghost-free Massive Gravity
Original
2012
Earlier work this paper cites.
S. Hassan, R. A. Rosen, and A. Schmidt-May, Ghost-free Massive Gravity with a General Reference Metric
Original
2012
Earlier work this paper cites.
K. Hinterbichler and R. A. Rosen, Interacting Spin-2 Fields
Original
2012
Earlier work this paper cites.
M. Fasiello and A. J. Tolley, Cosmological perturbations in Massive Gravity and the Higuchi bound
Original
2012
Earlier work this paper cites.

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2015

Generalised matter couplings in massive bigravity

Melville, Scott, Noller, Johannes

Understand

We investigate matter couplings in massive bigravity.

We find a new family of such consistent couplings, including and extending known consistent matter couplings, and we investigate their decoupling limits, ADM decompositions, Higuchi bounds and further aspects.
We show that differences to previous known consistent couplings only arise beyond the $\Lambda_3$ decoupling limit and discuss the uniqueness of consistent matter couplings and how this is related to the so-called symmetric vielbein condition.
Since we work in a vielbein formulation, these results easily generalise to multi-gravity.

Built on

D. Boulware and S. Deser, Can gravitation have a finite range?
1972
Earlier work this paper cites.
A. Vainshtein, To the problem of nonvanishing gravitation mass
1972
Earlier work this paper cites.
C. J. Isham and J. E. Nelson, Quantization of a Coupled Fermi Field and Robertson-Walker Metric
1974
Earlier work this paper cites.
D. Comelli, M. Crisostomi, and L. Pilo, Perturbations in Massive Gravity Cosmology
Original
1986
Earlier work this paper cites.
A. Higuchi, Forbidden Mass Range for Spin-2 Field Theory in De Sitter Space-time
1987
Earlier work this paper cites.
Graduate Texts in Contemporary Physics. Springer-Verlag, New York, 1997
P. Di Francesco, P. Mathieu, and D. Senechal, Conformal Field Theory · 1997
Earlier work this paper cites.
N. Arkani-Hamed, H. Georgi, and M. D. Schwartz, Effective field theory for massive gravitons and gravity in theory space
2003
Earlier work this paper cites.
A. R. Sahin, Einstein Equations for Tetrad Fields
2006
Earlier work this paper cites.
Cambridge University Press, 2008
T. Thiemann, Modern canonical quantum general relativity · 2008
Earlier work this paper cites.
A. Nicolis, R. Rattazzi, and E. Trincherini, The Galileon as a local modification of gravity
Original
2009
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.
S. Hassan and R. A. Rosen, On Non-Linear Actions for Massive Gravity
Original
2011
Earlier work this paper cites.
S. Hassan and R. A. Rosen, Resolving the Ghost Problem in non-Linear Massive Gravity
Original
2012
Earlier work this paper cites.
S. Hassan and R. A. Rosen, Bimetric Gravity from Ghost-free Massive Gravity
Original
2012
Earlier work this paper cites.
S. Hassan, R. A. Rosen, and A. Schmidt-May, Ghost-free Massive Gravity with a General Reference Metric
Original
2012
Earlier work this paper cites.
K. Hinterbichler and R. A. Rosen, Interacting Spin-2 Fields
Original
2012
Earlier work this paper cites.
M. Fasiello and A. J. Tolley, Cosmological perturbations in Massive Gravity and the Higuchi bound
Original
2012
Earlier work this paper cites.