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2013

Galileon forces in the Solar System

Andrews, Melinda, Chu, Yi-Zen, Trodden, Mark

Understand

We consider the challenging problem of obtaining an analytic understanding of realistic astrophysical dynamics in the presence of a Vainshtein screened fifth force arising from infrared modifications of General Relativity.

In particular, we attempt to solve -- within the most general flat spacetime galileon model -- the scalar force law between well separated bodies located well within the Vainshtein radius of the Sun.
To this end, we derive the exact static Green's function of the galileon wave equation linearized about the background field generated by the Sun, for the minimal cubic and maximally quartic galileon theories, and then introduce a method to compute the general leading order force law perturbatively away from these limits.
We also show that the same nonlinearities which produce the Vainshtein screening effect present obstacles to an analytic calculation of the galileon forces between closely bound systems within the solar system, such as that of the Earth and Moon.

Built on

C. Burrage and D. Seery, JCAP 08
Original
1927
Earlier work this paper cites.
C. Deffayet, S. Deser and G. Esposito-Farese, Phys. Rev. D 80
Original
1967
Earlier work this paper cites.
A.I. Vainshtein, Phys. Lett. B 39
1972
Earlier work this paper cites.
C. Deffayet, G.R. Dvali, G. Gabadadze and A.I. Vainshtein, Phys. Rev. D 65
2002
Earlier work this paper cites.
G. Dvali, A. Gruzinov and M. Zaldarriaga, Phys. Rev. D 68
2003
Earlier work this paper cites.
A. Nicolis and R. Rattazzi, JHEP 0406
2004
Earlier work this paper cites.
J. Hadamard, “Lectures on Cauchy’s problem in linear partial differential equation” (Yale University Press, New Haven, CT, U.S.A., 1923). E. Poisson, A. Pound and I. Vega, Living Rev. Rel. 14
Original
2004
Earlier work this paper cites.
C. Armendariz-Picon and E. A. Lim, JCAP 0508
2005
Earlier work this paper cites.
W. Goldberger and I. Rothstein, Phys. Rev. D 73
2006
Earlier work this paper cites.
A. Adams, N. Arkani-Hamed, S. Dubovsky, A. Nicolis and R. Rattazzi, JHEP 0610
2006
Earlier work this paper cites.
J. -P. Bruneton, Phys. Rev. D 75
2007
Earlier work this paper cites.
J. U. Kang, V. Vanchurin and S. Winitzki, Phys. Rev. D 76
Original
2007
Earlier work this paper cites.
E. Babichev, V. Mukhanov and A. Vikman, JHEP 0802
Original
2008
Earlier work this paper cites.
A. Nicolis, R. Rattazzi and E. Trincherini, Phys. Rev. D 79
Original
2009
Earlier work this paper cites.
C. Deffayet, G. Esposito-Farese and A. Vikman, Phys. Rev. D 79
Original
2009
Earlier work this paper cites.