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Y. Brihaye and Y. Verbin, “Perfect Fluid Spherically-Symmetric Solutions in Massive Gravity,” arXiv:1112.1901 [gr-qc]
Original
1901
Earlier work this paper cites.
V. I. Zakharov, “Linearized gravitation theory and the graviton mass,” JETP Lett. 12
1970
Earlier work this paper cites.
D. G. Boulware and S. Deser, “Can gravitation have a finite range?,” Phys. Rev. D 6
1972
Earlier work this paper cites.
A. I. Vainshtein, “To the problem of nonvanishing gravitation mass,” Phys. Lett. B 39
1972
Earlier work this paper cites.
S. Deser and C. Teitelboim, “Duality Transformations of Abelian and Nonabelian Gauge Fields,” Phys. Rev. D 13
1976
Earlier work this paper cites.
C. Montonen and D. I. Olive, “Magnetic Monopoles as Gauge Particles?,” Phys. Lett. B 72
1977
Earlier work this paper cites.
D. Comelli, M. Crisostomi, F. Nesti and L. Pilo, “FRW Cosmology in Ghost Free Massive Gravity,” JHEP 1203
Original
1983
Earlier work this paper cites.
S. Deser and R. I. Nepomechie, “Gauge Invariance Versus Masslessness In De Sitter Space,” Annals Phys. 154
1984
Earlier work this paper cites.
M. Crisostomi, D. Comelli and L. Pilo, “Perturbations in Massive Gravity Cosmology,” arXiv:1202.1986 [hep-th]
Original
1986
Earlier work this paper cites.
A. Higuchi, “Forbidden Mass Range For Spin-2 Field Theory In De Sitter Space-time,” Nucl. Phys. B 282
1987
Earlier work this paper cites.
S. Weinberg, “The Cosmological Constant Problem,” Rev. Mod. Phys. 61
1989
Earlier work this paper cites.
A. G. Riess et al
1998
Earlier work this paper cites.
S. Perlmutter et al
1999
Earlier work this paper cites.
S. Deser and A. Waldron, “Stability of massive cosmological gravitons,” Phys. Lett. B 508
2001
Earlier work this paper cites.
S. Deser and A. Waldron, “Gauge invariances and phases of massive higher spins in (A)dS,” Phys. Rev. Lett. 87
2001
Earlier work this paper cites.
S. Deser and A. Waldron, “Partial masslessness of higher spins in (A)dS,” Nucl. Phys. B 607
2001
Earlier work this paper cites.
S. Deser and A. Waldron, “Null propagation of partially massless higher spins in (A)dS and cosmological constant speculations,” Phys. Lett. B 513
2001
Earlier work this paper cites.
A. H. Chamseddine, A. Salam and J. A. Strathdee, “Strong Gravity and Supersymmetry,” Nucl. Phys. B 136
2003
Earlier work this paper cites.
S. Deser and A. Waldron, “Conformal invariance of partially massless higher spins,” Phys. Lett. B 603
2004
Earlier work this paper cites.
S. Deser and A. Waldron, “Partially Massless Spin 2 Electrodynamics,” Phys. Rev. D 74
2006
Earlier work this paper cites.
Y. .M. Zinoviev, “On massive spin 2 interactions,” Nucl. Phys. B 770
2007
Earlier work this paper cites.
S. Nibbelink Groot, M. Peloso and M. Sexton, “Nonlinear Properties of Vielbein Massive Gravity,” Eur. Phys. J. C 51
2007
Earlier work this paper cites.

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2013

Cosmological Stability Bound in Massive Gravity and Bigravity

Fasiello, Matteo, Tolley, Andrew J.

Understand

We give a simple derivation of a cosmological bound on the graviton mass for spatially flat FRW solutions in massive gravity with an FRW reference metric and for bigravity theories.

This bound comes from the requirement that the kinetic term of the helicity zero mode of the graviton is positive definite.
The bound is dependent only on the parameters in the massive gravity potential and the Hubble expansion rate for the two metrics.
We derive the decoupling limit of bigravity and FRW massive gravity, and use this to give an independent derivation of the cosmological bound.

Built on

Y. Brihaye and Y. Verbin, “Perfect Fluid Spherically-Symmetric Solutions in Massive Gravity,” arXiv:1112.1901 [gr-qc]
Original
1901
Earlier work this paper cites.
V. I. Zakharov, “Linearized gravitation theory and the graviton mass,” JETP Lett. 12
1970
Earlier work this paper cites.
D. G. Boulware and S. Deser, “Can gravitation have a finite range?,” Phys. Rev. D 6
1972
Earlier work this paper cites.
A. I. Vainshtein, “To the problem of nonvanishing gravitation mass,” Phys. Lett. B 39
1972
Earlier work this paper cites.
S. Deser and C. Teitelboim, “Duality Transformations of Abelian and Nonabelian Gauge Fields,” Phys. Rev. D 13
1976
Earlier work this paper cites.
C. Montonen and D. I. Olive, “Magnetic Monopoles as Gauge Particles?,” Phys. Lett. B 72
1977
Earlier work this paper cites.
D. Comelli, M. Crisostomi, F. Nesti and L. Pilo, “FRW Cosmology in Ghost Free Massive Gravity,” JHEP 1203
Original
1983
Earlier work this paper cites.
S. Deser and R. I. Nepomechie, “Gauge Invariance Versus Masslessness In De Sitter Space,” Annals Phys. 154
1984
Earlier work this paper cites.
M. Crisostomi, D. Comelli and L. Pilo, “Perturbations in Massive Gravity Cosmology,” arXiv:1202.1986 [hep-th]
Original
1986
Earlier work this paper cites.
A. Higuchi, “Forbidden Mass Range For Spin-2 Field Theory In De Sitter Space-time,” Nucl. Phys. B 282
1987
Earlier work this paper cites.
S. Weinberg, “The Cosmological Constant Problem,” Rev. Mod. Phys. 61
1989
Earlier work this paper cites.
A. G. Riess et al
1998
Earlier work this paper cites.
S. Perlmutter et al
1999
Earlier work this paper cites.
S. Deser and A. Waldron, “Stability of massive cosmological gravitons,” Phys. Lett. B 508
2001
Earlier work this paper cites.
S. Deser and A. Waldron, “Gauge invariances and phases of massive higher spins in (A)dS,” Phys. Rev. Lett. 87
2001
Earlier work this paper cites.
S. Deser and A. Waldron, “Partial masslessness of higher spins in (A)dS,” Nucl. Phys. B 607
2001
Earlier work this paper cites.
S. Deser and A. Waldron, “Null propagation of partially massless higher spins in (A)dS and cosmological constant speculations,” Phys. Lett. B 513
2001
Earlier work this paper cites.
A. H. Chamseddine, A. Salam and J. A. Strathdee, “Strong Gravity and Supersymmetry,” Nucl. Phys. B 136
2003
Earlier work this paper cites.
S. Deser and A. Waldron, “Conformal invariance of partially massless higher spins,” Phys. Lett. B 603
2004
Earlier work this paper cites.
S. Deser and A. Waldron, “Partially Massless Spin 2 Electrodynamics,” Phys. Rev. D 74
2006
Earlier work this paper cites.
Y. .M. Zinoviev, “On massive spin 2 interactions,” Nucl. Phys. B 770
2007
Earlier work this paper cites.
S. Nibbelink Groot, M. Peloso and M. Sexton, “Nonlinear Properties of Vielbein Massive Gravity,” Eur. Phys. J. C 51
2007
Earlier work this paper cites.