Fetching the paper…

Reading the bibliography…

2012

Retarded Green's Function Of A Vainshtein System And Galileon Waves

Chu, Yi-Zen, Trodden, Mark

Original
PDF
Post on X

Understand

Motivated by the desire to test modified gravity theories exhibiting the Vainshtein mechanism, we solve in various physically relevant limits, the retarded Galileon Green's function (for the cubic theory) about a background sourced by a massive spherically symmetric static body.

The static limit of our result will aid us, in a forthcoming paper, in understanding the impact of Galileon fields on the problem of motion in the solar system.
In this paper, we employ this retarded Green's function to investigate the emission of Galileon radiation generated by the motion of matter lying deep within the Vainshtein radius r_v of the central object: acoustic waves vibrating on its surface, and the motion of compact bodies gravitationally bound to it.
If \lambda is the typical wavelength of the emitted radiation, and r_0 is the typical distance of the source from the central mass, with r_0 << r_v, then, compared to its non-interacting massless scalar counterpart, we find that the Galileon radiation rate is suppressed by the ratio (r_v/\lambda)^{-3/2} at the monopole and dipole orders at high frequencies r_v/\lambda >> 1.

Retarded Green's Function Of A Vainshtein System And Galileon Waves · Around

Built on

J. Hadamard, “ Lectures on Cauchy’s problem in linear partial differential equations
1923
Earlier work this paper cites.
B. S. DeWitt and R. W. Brehme, Annals Phys. 9
1960
Earlier work this paper cites.
C. Deffayet, S. Deser and G. Esposito-Farese, “Generalized Galileons: All scalar models whose curved background extensions maintain second-order field equations and stress-tensors,” Phys. Rev. D 80
Original
1967
Earlier work this paper cites.
P. C. Peters, Phys. Rev. D 1
1970
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.
C. W. Misner, K. S. Thorne and J. A. Wheeler, San Francisco 1973, 1279p
1973
Earlier work this paper cites.
R. V. Wagoner and C. M. Will, Astrophys. J. 210
1977
Earlier work this paper cites.
S. J. Kovacs and K. S. Thorne, Astrophys. J. 224
1977
Earlier work this paper cites.
G. R. Dvali, G. Gabadadze and M. Porrati, Phys. Lett. B 485
2000
Earlier work this paper cites.
C. Deffayet, G. R. Dvali, G. Gabadadze and A. I. Vainshtein, “Nonperturbative continuity in graviton mass versus perturbative discontinuity,” Phys. Rev. D 65
2002
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.

Similar

A. Nicolis and R. Rattazzi, “Classical and quantum consistency of the DGP model,” JHEP 0406
2004
Cited alongside, same era.
A. Nicolis, R. Rattazzi and E. Trincherini, Phys. Rev. D 79
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.
Y. -Z. Chu, Phys. Rev. D 79
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.

Then

J. Khoury, J. -L. Lehners and B. A. Ovrut, “Supersymmetric 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.
G. Goon, K. Hinterbichler and M. Trodden, “A New Class of Effective Field Theories from Embedded Branes,” Phys. Rev. Lett. 106
Original
2011
Later among the works it cites.
C. Burrage, C. de Rham and L. Heisenberg, “de Sitter Galileon,” JCAP 1105
Original
2011
Later among the works it cites.
G. Goon, K. Hinterbichler and M. Trodden, “Galileons on Cosmological Backgrounds,” JCAP 1112
Original

Beyond the bibliography

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

Open on alphaXiv

alphaXiv is searching for related work…

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

2010

Cited alongside, same era.

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

2010

Cited alongside, same era.

C. Deffayet, O. Pujolas, I. Sawicki and A. Vikman, “Imperfect Dark Energy from Kinetic Gravity Braiding,” JCAP 1010

2010

Cited alongside, same era.

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

2010

Cited alongside, same era.

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

2010

Cited alongside, same era.

G. L. Goon, K. Hinterbichler and M. Trodden, “Stability and superluminality of spherical DBI galileon solutions,” Phys. Rev. D 83

2011

Cited alongside, same era.

S. -Y. Zhou and E. J. Copeland, “Galileons with Gauge Symmetries,” arXiv:1112.0968 [hep-th]

Cited in the paper.

2011

Later among the works it cites.

C. de Rham, G. Gabadadze and A. J. Tolley, “Resummation of Massive Gravity,” Phys. Rev. Lett. 106

2011

Later among the works it cites.

Wolfram Research, Inc., Mathematica, Version 8.0, Champaign, IL (2011)

2011

Later among the works it cites.

E. Poisson, Living Rev. Rel. 7

2011

Later among the works it cites.

G. Goon, K. Hinterbichler, A. Joyce and M. Trodden, JHEP 1206

2012

Closest in time.

C. de Rham, A. Matas, and A. Tolley, in progress (2012)

2012

Closest in time.

M. Trodden and K. Hinterbichler, “Generalizing Galileons,” Class. Quant. Grav. 28

2088

Closest in time.