User menu

Accès à distance ? S'identifier sur le proxy UCLouvain

Cosmological perturbation in f(R, G) theories with a perfect fluid

Primary tabs

download
  • Open access
  • PDF
  • 195.61 K
De Felice, Antonio Gérard, Jean-Marc [UCL] Suyama, Teruaki [UCL]

In order to classify modified gravity models according to their physical properties, we analyze the cosmological linear perturbations for f(R, G) theories (R being the Ricci scalar and G, the Gauss-Bonnet term) with a minimally coupled perfect fluid. For the scalar-type perturbations, we identify in general six degrees of freedom. We find that two of these physical modes obey the same dispersion relation as the one for a nonrelativistic de Broglie wave. This means that spacetime is either highly unstable or its fluctuations undergo a scale-dependent superluminal propagation. Two other modes correspond to the degrees of freedom of the perfect fluid, and propagate with the sound speed of such a fluid. The remaining two modes correspond to the entropy and temperature perturbations of the perfect fluid, and completely decouple from the other modes for a barotropic equation of state. We then provide a concise condition on f(R, G) theories, which both f(R) and R + f(G) do fulfill, to avoid the de Broglie-type dispersion relation. For the vector-type perturbation, we find that the perturbations decay in time. For the tensor-type perturbation, the perturbations can be either superluminal or subluminal, depending on the model. No-ghost conditions are also obtained for each type of perturbation.

Document type Article de périodique (Journal article) – Article de recherche
Access type Accès libre
Publication date 2010
Language Anglais
Journal information "Physical Review. D, Particles, Fields, Gravitation and Cosmology" - Vol. 82, no. 6 (2010)
Peer reviewed yes
Publisher Amer Physical Soc (College Pk)
issn 1550-7998
e-issn 1089-4918
Publication status Publié
Affiliation UCL - SST/IRMP - Institut de recherche en mathématique et physique
Links
  1. A. De Felice, Living Rev. Relativity, 13, 3 (2010)
  2. Starobinsky A.A., A new type of isotropic cosmological models without singularity, 10.1016/0370-2693(80)90670-x
  3. CAPOZZIELLO SALVATORE, CURVATURE QUINTESSENCE, 10.1142/s0218271802002025
  4. S. Capozziello, Recent Res. Dev. Astron. Astrophys., 1, 625 (2003)
  5. CAPOZZIELLO S., CARDONE V. F., CARLONI S., TROISI A., CURVATURE QUINTESSENCE MATCHED WITH OBSERVATIONAL DATA, 10.1142/s0218271803004407
  6. Carroll Sean M., Duvvuri Vikram, Trodden Mark, Turner Michael S., Is cosmic speed-up due to new gravitational physics?, 10.1103/physrevd.70.043528
  7. Amendola Luca, Gannouji Radouane, Polarski David, Tsujikawa Shinji, Conditions for the cosmological viability off(R)dark energy models, 10.1103/physrevd.75.083504
  8. Li Baojiu, Barrow John D., Cosmology off(R)gravity in the metric variational approach, 10.1103/physrevd.75.084010
  9. Hu Wayne, Sawicki Ignacy, Models off(R)cosmic acceleration that evade solar system tests, 10.1103/physrevd.76.064004
  10. Starobinsky A. A., Disappearing cosmological constant in f(R) gravity, 10.1134/s0021364007150027
  11. Appleby Stephen A., Battye Richard A., Do consistent models mimic general relativity plus Λ?, 10.1016/j.physletb.2007.08.037
  12. Tsujikawa Shinji, Observational signatures off(R)dark energy models that satisfy cosmological and local gravity constraints, 10.1103/physrevd.77.023507
  13. Linder Eric V., Exponential gravity, 10.1103/physrevd.80.123528
  14. Amendola Luca, Tsujikawa Shinji, Phantom crossing, equation-of-state singularities, and local gravity constraints in f(R) models, 10.1016/j.physletb.2007.12.041
  15. Carroll Sean M, Sawicki Ignacy, Silvestri Alessandra, Trodden Mark, Modified-source gravity and cosmological structure formation, 10.1088/1367-2630/8/12/323
  16. Song Yong-Seon, Hu Wayne, Sawicki Ignacy, Large scale structure off(R)gravity, 10.1103/physrevd.75.044004
  17. Sawicki Ignacy, Hu Wayne, Stability of cosmological solutions inf(R)models of gravity, 10.1103/physrevd.75.127502
  18. Bean Rachel, Bernat David, Pogosian Levon, Silvestri Alessandra, Trodden Mark, Dynamics of linear perturbations inf(R)gravity, 10.1103/physrevd.75.064020
  19. Faulkner Thomas, Tegmark Max, Bunn Emory F., Mao Yi, Constrainingf(R)gravity as a scalar-tensor theory, 10.1103/physrevd.76.063505
  20. Pogosian Levon, Silvestri Alessandra, Pattern of growth in viablef(R)cosmologies, 10.1103/physrevd.77.023503
  21. Carroll Sean M., De Felice Antonio, Duvvuri Vikram, Easson Damien A., Trodden Mark, Turner Michael S., Cosmology of generalized modified gravity models, 10.1103/physrevd.71.063513
  22. Calcagni Gianluca, Tsujikawa Shinji, Sami M, Dark energy and cosmological solutions in second-order string gravity, 10.1088/0264-9381/22/19/011
  23. O'Hanlon John, Intermediate-Range Gravity: A Generally Covariant Model, 10.1103/physrevlett.29.137
  24. Teyssandier P., Tourrenc Ph., The Cauchy problem for the R+R2 theories of gravity without torsion, 10.1063/1.525659
  25. Chiba Takeshi, 1/R gravity and scalar-tensor gravity, 10.1016/j.physletb.2003.09.033
  26. Nojiri Shin’ichi, Odintsov Sergei D., Sasaki Misao, Gauss-Bonnet dark energy, 10.1103/physrevd.71.123509
  27. Koivisto Tomi, Mota David F., Cosmology and astrophysical constraints of Gauss–Bonnet dark energy, 10.1016/j.physletb.2006.11.048
  28. Koivisto Tomi, Mota David F., Gauss-Bonnet quintessence: Background evolution, large scale structure, and cosmological constraints, 10.1103/physrevd.75.023518
  29. Kawai Shinsuke, Sakagami Masa-aki, Soda Jiro, Instability of 1-loop superstring cosmology, 10.1016/s0370-2693(98)00925-3
  30. Nojiri Shin'ichi, Odintsov Sergei D., Modified Gauss–Bonnet theory as gravitational alternative for dark energy, 10.1016/j.physletb.2005.10.010
  31. De Felice Antonio, Tsujikawa Shinji, Construction of cosmologically viable gravity models, 10.1016/j.physletb.2009.03.060
  32. Uddin Kotub, Lidsey James E., Tavakol Reza, Cosmological scaling solutions in generalised Gauss–Bonnet gravity theories, 10.1007/s10714-009-0803-0
  33. Cognola Guido, Elizalde Emilio, Nojiri Shin’ichi, Odintsov Sergei D., Zerbini Sergio, Dark energy in modified Gauss-Bonnet gravity: Late-time acceleration and the hierarchy problem, 10.1103/physrevd.73.084007
  34. Li Baojiu, Barrow John D., Mota David F., Cosmology of modified Gauss-Bonnet gravity, 10.1103/physrevd.76.044027
  35. Zhou Shuang-Yong, Copeland Edmund J, Saffin Paul M, Cosmological constraints onf(G) dark energy models, 10.1088/1475-7516/2009/07/009
  36. De Felice Antonio, Tsujikawa Shinji, Solar system constraints onf(G)gravity models, 10.1103/physrevd.80.063516
  37. De Felice Antonio, Mota David F., Tsujikawa Shinji, Matter instabilities in general Gauss-Bonnet gravity, 10.1103/physrevd.81.023532
  38. Felice Antonio De, Suyama Teruaki, Vacuum structure for scalar cosmological perturbations in modified gravity models, 10.1088/1475-7516/2009/06/034
  39. De Felice Antonio, Suyama Teruaki, Scalar mode propagation in modified gravity with a scalar field, 10.1103/physrevd.80.083523
  40. Bardeen James M., Gauge-invariant cosmological perturbations, 10.1103/physrevd.22.1882
  41. Kodama Hideo, Sasaki Misao, Cosmological Perturbation Theory, 10.1143/ptps.78.1
  42. Mukhanov V, Theory of cosmological perturbations, 10.1016/0370-1573(92)90044-z
  43. Schutz Bernard F., Perfect Fluids in General Relativity: Velocity Potentials and a Variational Principle, 10.1103/physrevd.2.2762
  44. Schutz Bernard F, Sorkin Rafael, Variational aspects of relativistic field theories, with application to perfect fluids, 10.1016/0003-4916(77)90200-7
  45. Stelle K. S., Classical gravity with higher derivatives, 10.1007/bf00760427
  46. Barth N. H., Christensen S. M., Quantizing fourth-order gravity theories: The functional integral, 10.1103/physrevd.28.1876
  47. Boulanger Nicolas, Damour Thibault, Gualtieri Leonardo, Henneaux Marc, Inconsistency of interacting, multi-graviton theories, 10.1016/s0550-3213(00)00718-5
  48. Felice Antonio De, Hindmarsh Mark, Trodden Mark, Ghosts, instabilities, and superluminal propagation in modified gravity models, 10.1088/1475-7516/2006/08/005
  49. Calcagni Gianluca, de Carlos Beatriz, De Felice Antonio, Ghost conditions for Gauss–Bonnet cosmologies, 10.1016/j.nuclphysb.2006.06.020
  50. De Felice Antonio, Gérard Jean-Marc, Suyama Teruaki, Cosmological perturbations of a perfect fluid and noncommutative variables, 10.1103/physrevd.81.063527
  51. Hinterbichler Kurt, Nicolis Alberto, Porrati Massimo, Superluminality in DGP, 10.1088/1126-6708/2009/09/089
  52. Hwang Jai-chan, Unified analysis of cosmological perturbations in generalized gravity, 10.1103/physrevd.53.762
  53. Li Baojiu, Barrow John D., Cosmology off(R)gravity in the metric variational approach, 10.1103/physrevd.75.084010
  54. Bean Rachel, Bernat David, Pogosian Levon, Silvestri Alessandra, Trodden Mark, Dynamics of linear perturbations inf(R)gravity, 10.1103/physrevd.75.064020
  55. Carloni S., Dunsby P. K. S., Troisi A., Evolution of density perturbations inf(R)gravity, 10.1103/physrevd.77.024024
Bibliographic reference De Felice, Antonio ; Gérard, Jean-Marc ; Suyama, Teruaki. Cosmological perturbation in f(R, G) theories with a perfect fluid. In: Physical Review. D, Particles, Fields, Gravitation and Cosmology, Vol. 82, no. 6 (2010)
Permanent URL http://hdl.handle.net/2078.1/34383