Abstract
In this paper we start from the original formulation of the galileon model with the original choice for couplings to gravity. Within this framework we find that there is still a subset of possible Lagrangians that give selfaccelerating solutions with stable spherically symmetric solutions. This is a certain constrained subset of the third order galileon which has not been explored before. We develop and explore the background cosmological evolution of this model drawing intuition from other even more restricted galileon models. The numerical results confirm the presence of selfacceleration, but also reveals a possible instability with respect to galileon perturbations.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
Supernova Search Team collaboration, A.G. Riess et al., Observational evidence from supernovae for an accelerating Universe and a cosmological constant, Astron. J. 116 (1998) 1009 [astro-ph/9805201] [SPIRES].
Supernova Cosmology Project collaboration, S. Perlmutter et al., Measurements of ω and λ from 42 high-redshift supernovae, Astrophys. J. 517 (1999) 565 [astro-ph/9812133] [SPIRES].
E. Komatsu et al., Seven-year Wilkinson microwave anisotropy probe (WMAP) observations: cosmological interpretation, arXiv:1001.4538 [SPIRES].
I. Zehavi, A.G. Riess, R.P. Kirshner and A. Dekel, A local Hubble bubble from type Ia supernovae?, Astrophys. J. 503 (1998) 483 [astro-ph/9802252] [SPIRES].
S. Weinberg, The cosmological constant problem, Rev. Mod. Phys. 61 (1989) 1 [SPIRES].
E.J. Copeland, M. Sami and S. Tsujikawa, Dynamics of dark energy, Int. J. Mod. Phys. D 15 (2006) 1753 [hep-th/0603057] [SPIRES].
R. Durrer and R. Maartens, Dark energy and dark gravity, Gen. Rel. Grav. 40 (2008) 301 [arXiv:0711.0077] [SPIRES].
S. Nojiri and S.D. Odintsov, Introduction to modified gravity and gravitational alternative for dark energy, Int. J. Geom. Meth. Mod. Phys 4 (2007) 115 [hep-th/0601213].
T.P. Sotiriou and V. Faraoni, f(R) theories of gravity, Rev. Mod. Phys. 82 (2010) 451 [arXiv:0805.1726] [SPIRES].
S. Nojiri, S.D. Odintsov and M. Sasaki, Gauss-Bonnet dark energy, Phys. Rev. D 71 (2005) 123509 [hep-th/0504052] [SPIRES].
S. Nojiri and S.D. Odintsov, Modified Gauss-Bonnet theory as gravitational alternative for dark energy, Phys. Lett. B 631 (2005) 1 [hep-th/0508049] [SPIRES].
S.M. Carroll et al., The cosmology of generalized modified gravity models, Phys. Rev. D 71 (2005) 063513 [astro-ph/0410031] [SPIRES].
T. Koivisto and D.F. Mota, Gauss-Bonnet quintessence: background evolution, large scale structure and cosmological constraints, Phys. Rev. D 75 (2007) 023518 [hep-th/0609155] [SPIRES].
J.D. Bekenstein, Relativistic gravitation theory for the MOND paradigm, Phys. Rev. D 70 (2004) 083509 [astro-ph/0403694] [SPIRES].
F. Bourliot, P.G. Ferreira, D.F. Mota and C. Skordis, The cosmological behavior of Bekenstein’s modified theory of gravity, Phys. Rev. D 75 (2007) 063508 [astro-ph/0611255] [SPIRES].
C. Deffayet, G.R. Dvali and G. Gabadadze, Accelerated universe from gravity leaking to extra dimensions, Phys. Rev. D 65 (2002) 044023 [astro-ph/0105068] [SPIRES].
G.R. Dvali, G. Gabadadze and M. Porrati, 4D gravity on a brane in 5D Minkowski space, Phys. Lett. B 485 (2000) 208 [hep-th/0005016] [SPIRES].
A. Lue, The phenomenology of Dvali-Gabadadze-Porrati cosmologies, Phys. Rept. 423 (2006) 1 [astro-ph/0510068] [SPIRES].
G. Dvali, S. Hofmann and J. Khoury, Degravitation of the cosmological constant and graviton width, Phys. Rev. D 76 (2007) 084006 [hep-th/0703027] [SPIRES].
N. Agarwal, R. Bean, J. Khoury and M. Trodden, Cascading cosmology, Phys. Rev. D 81 (2010) 084020 [arXiv:0912.3798] [SPIRES].
H. Farajollahi, M. Farhoudi and H. Shojaie, On Dynamics of Brans-Dicke theory of gravitation, Int. J. Theor. Phys. 49 (2010) 2558 [arXiv:1008.0910] [SPIRES].
A. De Felice and S. Tsujikawa, Generalized Brans-Dicke theories, JCAP 07 (2010) 024 [arXiv:1005.0868] [SPIRES].
D.F. Mota and D.J. Shaw, Evading equivalence principle violations, astrophysical and cosmological constraints in scalar field theories with a strong coupling to matter, Phys. Rev. D 75 (2007) 063501 [hep-ph/0608078] [SPIRES].
A. Nicolis, R. Rattazzi and E. Trincherini, The galileon as a local modification of gravity, Phys. Rev. D 79 (2009) 064036 [arXiv:0811.2197] [SPIRES].
N. Chow and J. Khoury, Galileon cosmology, Phys. Rev. D 80 (2009) 024037 [arXiv:0905.1325] [SPIRES].
R. Gannouji and M. Sami, Galileon gravity and its relevance to late time cosmic acceleration, Phys. Rev. D 82 (2010) 024011 [arXiv:1004.2808] [SPIRES].
A. De Felice and S. Tsujikawa, Cosmology of a covariant Galileon field, Phys. Rev. Lett. 105 (2010) 111301 [arXiv:1007.2700] [SPIRES].
A. Ali, R. Gannouji and M. Sami, Modified gravity a la Galileon: late time cosmic acceleration and observational constraints, arXiv:1008.1588 [SPIRES].
A. Nicolis, R. Rattazzi and E. Trincherini, Energy’s and amplitudes’ positivity, JHEP 05 (2010) 095 [arXiv:0912.4258] [SPIRES].
C. Deffayet, G. Esposito-Farese and A. Vikman, Covariant galileon, Phys. Rev. D 79 (2009) 084003 [arXiv:0901.1314] [SPIRES].
C. Burrage and D. Seery, Revisiting fifth forces in the Galileon model, JCAP 08 (2010) 011 [arXiv:1005.1927] [SPIRES].
E. Babichev, Galileon accretion, arXiv:1009.2921 [SPIRES].
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 (2009) 064015 [arXiv:0906.1967] [SPIRES].
C. Deffayet, S. Deser and G. Esposito-Farese, Arbitrary p-form Galileons, Phys. Rev. D 82 (2010) 061501 [arXiv:1007.5278] [SPIRES].
A. Padilla, P.M. Saffin and S.-Y. Zhou, Bi-galileon theory I: motivation and formulation, arXiv:1007.5424 [SPIRES].
A. Padilla, P.M. Saffin and S.-Y. Zhou, Bi-galileon theory II: phenomenology, arXiv:1008.3312 [SPIRES].
A. Padilla, P.M. Saffin and S.-Y. Zhou, Multi-galileons, solitons and Derrick’s theorem, arXiv:1008.0745 [SPIRES].
G.H. Derrick, Comments on nonlinear wave equations as models for elementary particles, J. Math. Phys. 5 (1964) 1252 [SPIRES].
N. Manton and P.M. Sutcliffe, Topological solitons. Cambridge University Press, (2004).
M. Andrews, K. Hinterbichler, J. Khoury and M. Trodden, Instabilities of spherical solutions with multiple galileons and SO(N) symmetry, arXiv:1008.4128 [SPIRES].
K. Hinterbichler, M. Trodden and D. Wesley, Multi-field galileons and higher co-dimension branes, arXiv:1008.1305 [SPIRES].
C. de Rham and A.J. Tolley, DBI and the Galileon reunited, JCAP 05 (2010) 015 [arXiv:1003.5917] [SPIRES].
E. Silverstein and D. Tong, Scalar speed limits and cosmology: acceleration from D-cceleration, Phys. Rev. D 70 (2004) 103505 [hep-th/0310221] [SPIRES].
M. Alishahiha, E. Silverstein and D. Tong, DBI in the sky, Phys. Rev. D 70 (2004) 123505 [hep-th/0404084] [SPIRES].
D.A. Easson, R. Gregory, D.F. Mota, G. Tasinato and I. Zavala, Spinflation, JCAP 02 (2008) 010 [arXiv:0709.2666] [SPIRES].
C.P. Burgess, R. Easther, A. Mazumdar, D.F. Mota and T. Multamaki, Multiple inflation, cosmic string networks and the string landscape, JHEP 05 (2005) 067 [hep-th/0501125] [SPIRES].
D. Tong, The dbi model of inflation, in Proceedings of the 12th International Conference On Supersymmetry And Unification Of Fundamental Interactions (SUSY 04), SLAC Library holdings (KEK proceedings 2004-12), (2004), pg. 841–844.
G.L. Goon, K. Hinterbichler and M. Trodden, Stability and superluminality of spherical DBI galileon solutions, arXiv:1008.4580 [SPIRES].
C. de Rham and G. Gabadadze, Selftuned massive spin-2, Phys. Lett. B 693 (2010) 334 [arXiv:1006.4367] [SPIRES].
A. De Felice and S. Tsujikawa, Generalized galileon cosmology, arXiv:1008.4236 [SPIRES].
T. Kobayashi, Cosmic expansion and growth histories in Galileon scalar-tensor models of dark energy, Phys. Rev. D 81 (2010) 103533 [arXiv:1003.3281] [SPIRES].
F.P. Silva and K. Koyama, Self-accelerating universe in galileon cosmology, Phys. Rev. D 80 (2009) 121301 [arXiv:0909.4538] [SPIRES].
T. Kobayashi, H. Tashiro and D. Suzuki, Evolution of linear cosmological perturbations and its observational implications in Galileon-type modified gravity, Phys. Rev. D 81 (2010) 063513 [arXiv:0912.4641] [SPIRES].
A. De Felice, S. Mukohyama and S. Tsujikawa, Density perturbations in general modified gravitational theories, Phys. Rev. D 82 (2010) 023524 [arXiv:1006.0281] [SPIRES].
C. Deffayet, O. Pujolàs, I. Sawicki and A. Vikman, Imperfect dark energy from kinetic gravity braiding, JCAP 10 (2010) 026 [arXiv:1008.0048] [SPIRES].
T. Kobayashi, M. Yamaguchi and J. Yokoyama, G-inflation: inflation driven by the Galileon field, arXiv:1008.0603 [SPIRES].
P. Creminelli, A. Nicolis and E. Trincherini, Galilean genesis: an alternative to inflation, JCAP 11 (2010) 021 [arXiv:1007.0027] [SPIRES].
S. Mizuno and K. Koyama, Primordial non-Gaussianity from the DBI Galileons, arXiv:1009.0677 [SPIRES].
C. Burrage, C. de Rham, D. Seery and A.J. Tolley, Galileon inflation, arXiv:1009.2497 [SPIRES].
L.O. Pimentel, Energy-momentum tensor in the general scalar-tensor theory, Class. Quant. Grav. 6 (1989) L263 [SPIRES].
C. Brans and R.H. Dicke, Mach’s principle and a relativistic theory of gravitation, Phys. Rev. 124 (1961) 925 [SPIRES].
Author information
Authors and Affiliations
Corresponding author
Additional information
ArXiv ePrint: 1009.6151
Rights and permissions
Open Access This is an open access article distributed under the terms of the Creative Commons Attribution Noncommercial License (https://creativecommons.org/licenses/by-nc/2.0), which permits any noncommercial use, distribution, and reproduction in any medium, provided the original author(s) and source are credited.
About this article
Cite this article
Mota, D.F., Sandstad, M. & Zlosnik, T. Cosmology of the selfaccelerating third order Galileon. J. High Energ. Phys. 2010, 51 (2010). https://doi.org/10.1007/JHEP12(2010)051
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP12(2010)051