Built on

C. Deffayet, S. Deser and G. Esposito-Farese, “Generalized Galileons: All scalar models whose curved background extensions Phys. Rev. D 80
Original
1967
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.
M. Doran, M. J. Lilley, J. Schwindt and C. Wetterich, “Quintessence and the separation of CMB peaks,” Astrophys. J. 559
1998
Earlier work this paper cites.
G. R. Dvali, G. Gabadadze and M. Porrati, “4D gravity on a brane in 5D Minkowski space,” Phys. Lett. B 485
2001
Earlier work this paper cites.
C. Deffayet, G. R. Dvali and G. Gabadadze, “Accelerated universe from gravity leaking to extra dimensions,” Phys. Rev. D 65
2002
Earlier work this paper cites.
P. J. E. Peebles and B. Ratra, “The Cosmological constant and dark energy,” Rev. Mod. Phys. 75
2003
Earlier work this paper cites.
M. A. Luty, M. Porrati and R. Rattazzi, “Strong interactions and stability in the DGP model,” JHEP 0309
2003
Earlier work this paper cites.
A. Nicolis, R. Rattazzi, “Classical and quantum consistency of the DGP model,” JHEP 0406
2004
Earlier work this paper cites.
K. Koyama, “Are there ghosts in the self-accelerating brane universe?,” Phys. Rev. D 72
2005
Earlier work this paper cites.
C. Charmousis, R. Gregory, N. Kaloper, A. Padilla, “DGP Specteroscopy,” JHEP 0610
2006
Earlier work this paper cites.
C. de Rham and A. J. Tolley, “Mimicking Lambda with a spin-two ghost condensate,” JCAP 0607
2006
Earlier work this paper cites.
A. Adams, N. Arkani-Hamed, S. Dubovsky, A. Nicolis, R. Rattazzi, “Causality, analyticity and an IR obstruction to UV completion,” JHEP 0610
2006
Earlier work this paper cites.
S. Dubovsky, T. Gregoire, A. Nicolis and R. Rattazzi, “Null energy condition and superluminal propagation,” JHEP 0603
2006
Earlier work this paper cites.
E. Babichev, V. Mukhanov, A. Vikman, “k-Essence, superluminal propagation, causality and emergent geometry,” JHEP 0802
Original
2008
Earlier work this paper cites.
G. Hinshaw, D. Larson, E. Komatsu, D. N. Spergel, C. L. Bennett, J. Dunkley, M. R. Nolta and M. Halpern et al
Original
2009
Earlier work this paper cites.

Similar

A. Nicolis, R. Rattazzi, E. Trincherini, “The Galileon as a local modification of gravity,” Phys. Rev. D79
Original
2009
Cited alongside, same era.
F. P. Silva and K. Koyama, “Self-Accelerating Universe in Galileon Cosmology,” Phys. Rev. D 80
Original
2009
Cited alongside, same era.
N. Chow and J. Khoury, “Galileon Cosmology,” Phys. Rev. D 80
Original
2009
Cited alongside, same era.
C. Deffayet, G. Esposito-Farese and A. Vikman, “Covariant Galileon,” Phys. Rev. D 79
Original
2009
Cited alongside, same era.
K. Hinterbichler, A. Nicolis and M. Porrati, “Superluminality in DGP,” JHEP 0909
Original

Then

M. Wyman, “Galilean-invariant scalar fields can strengthen gravitational lensing,” Phys. Rev. Lett. 106
Original
2011
Later among the works it cites.
C. de Rham and L. Heisenberg, “Cosmology of the Galileon from Massive Gravity,” Phys. Rev. D 84
Original
2011
Later among the works it cites.
C. Deffayet, X. Gao, D. A. Steer and G. Zahariade, “From k-essence to generalised Galileons,” Phys. Rev. D 84
Original
2011
Later among the works it cites.
G. Goon, K. Hinterbichler and M. Trodden, “Symmetries for Galileons and DBI scalars on curved space,” JCAP 1107
Original
2011
Later among the works it cites.
C. de Rham, G. Gabadadze, D. Pirtskhalava, A. J. Tolley and I. Yavin, “Nonlinear Dynamics of 3D Massive Gravity,” JHEP 1106

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2013

Superluminality in the Bi- and Multi- Galileon

de Fromont, Paul, de Rham, Claudia, Heisenberg, Lavinia et al.

Understand

We re-explore the Bi- and Multi-Galileon models with trivial asymptotic conditions at infinity and show that propagation of superluminal fluctuations is a common and unavoidable feature of these theories, unlike previously claimed in the literature.

We show that all Multi-Galileon theories containing a Cubic Galileon term exhibit superluminalities at large distances from a point source, and that even if the Cubic Galileon is not present one can always find sensible matter distributions in which there are superluminal modes at large distances.
In the Bi-Galileon case we explicitly show that there are always superluminal modes around a point source even if the Cubic Galileon is not present.
Finally, we briefly comment on the possibility of avoiding superluminalities by modifying the asymptotic conditions at infinity.

Built on

C. Deffayet, S. Deser and G. Esposito-Farese, “Generalized Galileons: All scalar models whose curved background extensions Phys. Rev. D 80
Original
1967
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.
M. Doran, M. J. Lilley, J. Schwindt and C. Wetterich, “Quintessence and the separation of CMB peaks,” Astrophys. J. 559
1998
Earlier work this paper cites.
G. R. Dvali, G. Gabadadze and M. Porrati, “4D gravity on a brane in 5D Minkowski space,” Phys. Lett. B 485
2001
Earlier work this paper cites.
C. Deffayet, G. R. Dvali and G. Gabadadze, “Accelerated universe from gravity leaking to extra dimensions,” Phys. Rev. D 65
2002
Earlier work this paper cites.
P. J. E. Peebles and B. Ratra, “The Cosmological constant and dark energy,” Rev. Mod. Phys. 75
2003
Earlier work this paper cites.
M. A. Luty, M. Porrati and R. Rattazzi, “Strong interactions and stability in the DGP model,” JHEP 0309
2003
Earlier work this paper cites.
A. Nicolis, R. Rattazzi, “Classical and quantum consistency of the DGP model,” JHEP 0406
2004
Earlier work this paper cites.
K. Koyama, “Are there ghosts in the self-accelerating brane universe?,” Phys. Rev. D 72
2005
Earlier work this paper cites.
C. Charmousis, R. Gregory, N. Kaloper, A. Padilla, “DGP Specteroscopy,” JHEP 0610
2006
Earlier work this paper cites.
C. de Rham and A. J. Tolley, “Mimicking Lambda with a spin-two ghost condensate,” JCAP 0607
2006
Earlier work this paper cites.
A. Adams, N. Arkani-Hamed, S. Dubovsky, A. Nicolis, R. Rattazzi, “Causality, analyticity and an IR obstruction to UV completion,” JHEP 0610
2006
Earlier work this paper cites.
S. Dubovsky, T. Gregoire, A. Nicolis and R. Rattazzi, “Null energy condition and superluminal propagation,” JHEP 0603
2006
Earlier work this paper cites.
E. Babichev, V. Mukhanov, A. Vikman, “k-Essence, superluminal propagation, causality and emergent geometry,” JHEP 0802
Original
2008
Earlier work this paper cites.
G. Hinshaw, D. Larson, E. Komatsu, D. N. Spergel, C. L. Bennett, J. Dunkley, M. R. Nolta and M. Halpern et al
Original
2009
Earlier work this paper cites.

Similar

A. Nicolis, R. Rattazzi, E. Trincherini, “The Galileon as a local modification of gravity,” Phys. Rev. D79
Original
2009
Cited alongside, same era.
F. P. Silva and K. Koyama, “Self-Accelerating Universe in Galileon Cosmology,” Phys. Rev. D 80
Original
2009
Cited alongside, same era.
N. Chow and J. Khoury, “Galileon Cosmology,” Phys. Rev. D 80
Original
2009
Cited alongside, same era.
C. Deffayet, G. Esposito-Farese and A. Vikman, “Covariant Galileon,” Phys. Rev. D 79
Original
2009
Cited alongside, same era.
K. Hinterbichler, A. Nicolis and M. Porrati, “Superluminality in DGP,” JHEP 0909
Original

Then

M. Wyman, “Galilean-invariant scalar fields can strengthen gravitational lensing,” Phys. Rev. Lett. 106
Original
2011
Later among the works it cites.
C. de Rham and L. Heisenberg, “Cosmology of the Galileon from Massive Gravity,” Phys. Rev. D 84
Original
2011
Later among the works it cites.
C. Deffayet, X. Gao, D. A. Steer and G. Zahariade, “From k-essence to generalised Galileons,” Phys. Rev. D 84
Original
2011
Later among the works it cites.
G. Goon, K. Hinterbichler and M. Trodden, “Symmetries for Galileons and DBI scalars on curved space,” JCAP 1107
Original
2011
Later among the works it cites.
C. de Rham, G. Gabadadze, D. Pirtskhalava, A. J. Tolley and I. Yavin, “Nonlinear Dynamics of 3D Massive Gravity,” JHEP 1106

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

2009

Cited alongside, same era.

C. de Rham, G. Dvali, S. Hofmann, J. Khoury, O. Pujolas, M. Redi and A. J. Tolley, “Cascading gravity: Extending the Dvali-Gabadadze-Porrati model to higher dimension,” Phys. Rev. Lett. 100

Original

2009

Cited alongside, same era.

C. de Rham and A. J. Tolley, “DBI and the Galileon reunited,” JCAP 1005

Original

2010

Cited alongside, same era.

C. de Rham and G. Gabadadze, “Generalization of the Fierz-Pauli Action,” Phys. Rev. D 82

Original

2010

Cited alongside, same era.

K. Hinterbichler, M. Trodden and D. Wesley, “Multi-field galileons and higher co-dimension branes,” Phys. Rev. D 82

Original

2010

Cited alongside, same era.

A. Nicolis, R. Rattazzi and E. Trincherini, “Energy’s and amplitudes’ positivity,” JHEP 1005

Original

2010

Cited alongside, same era.

C. Deffayet, S. Deser and G. Esposito-Farese, “Arbitrary p p -form Galileons,” Phys. Rev. D 82

Original

2010

Cited alongside, same era.

A. Padilla, P. M. Saffin and S. Y. Zhou, “Bi-galileon theory I: motivation and formulation,” JHEP 1012

Original

2010

Cited alongside, same era.

Original

2011