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Avoiding Dark Energy with 1/R Modifications of Gravity

Woodard, Richard·2007·Lecture Notes in Physics

Abstract

Scalar quintessence seems epicyclic because one can choose the potential to reproduce any cosmology (I review the construction) and because the properties of this scalar seem to raise more questions than they answer. This is why there has been so much recent interest in modified gravity. I review the powerful theorem of Ostrogradski which demonstrates that the only potentially stable, local modification of general relativity is to make the Lagrangian an arbitrary function of the Ricci scalar. Such a theory can certainly reproduce the current phase of cosmic acceleration without Dark Energy. However, this explanation again seems epicyclic in that one can construct a function of the Ricci scalar to support any cosmology (I give the technique). Models of this form are also liable to problems in the way they couple to matter, both in terms of matter’s impact upon them and in terms of the long range gravitational force they predict. Because of these problems my own preference for avoiding Dark Energy is to bypass Ostrogradski’s theorem by considering the fully nonlocal effective action built up by quantum gravitational processes during the epoch of primordial inflation.

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Research works printed but not linked: 70

  1. R.H. Cyburt, B.D. Fields and K.A. Olive, Phys. Lett. B 567, 227 (2003), astro-ph/0302431. · DOI
  2. G. Bertone, D. Hooper and J. Silk, Phys. Rept. 405, 279 (2005), hep-ph/0404175. · DOI · Paper page
  3. R.H. Sanders and S.S. McGaugh, Ann. Rev. Astrophys 40, 263 (2002), astro-ph/0204521. · DOI
  4. G. Gentile, P. Salucci, U. Klein, D. Vergani and P. Kalberla, Mon. Not. Roy. Astron. Soc. 351, 903 (2004), astro-ph/0403154. · DOI
  5. J.D. Bekenstein, Phys. Rev. D 70, 083509 (2004), astro-ph/0403694. · DOI
  6. C. Skordis, D.F. Mota, P.G. Ferreira and C. Boehm, Phys. Rev. Lett. 96, 011301 (2006), astro-ph/0505519. · DOI · Paper page
  7. R.A. Knop et al, Astrophys. J. 598, 102 (2003), astro-ph/0309368. · arXiv
  8. A.D. Reiss et al, Astrophys. J. 607, 665 (2004), astro-ph/0402512. · arXiv
  9. P. Astier et al, astro-ph/0510447. · arXiv
  10. D. Spergel et al, Astrophys. J. Suppl. 148, 175 (2003), astro-ph/0302209. · DOI · Paper page
  11. M. Tegmark et al, Phys. Rev. D 69, 103501 (2004), astro-ph/0310723. · arXiv
  12. C. Wetterich, Nucl. Phys. B 302, 668 (1988). · DOI
  13. N.C. Tsamis and R.P. Woodard, Ann. Phys. 267, 145 (1998), hep-th/9712331. · DOI
  14. T.D. Saini, S. Raychaudhury, V. Saini and A.A. Starobinskiĭ, Phys. Rev. Lett. 85, 1162 (2000), astro-ph/9910231. · DOI
  15. S. Capozziello, S. Nojiri and S.D. Odintsov, hep-th/0512118. · arXiv
  16. M. Ostrogradski, Mem. Ac. St. Petersbourg VI4, 385 (1850).
  17. X. Jaén, J. Llosa and A. Molina, Phys. Rev. D 34, 2302 (1986). · DOI
  18. D.A. Eliezer and R.P. Woodard, Nucl. Phys. B 325, 389 (1989). · DOI
  19. N.C. Tsamis and R.P. Woodard, Phys. Rev. D 36, 3641 (1987). · DOI
  20. K.S. Stelle Phys. Rev. D 16, 953 (1977). · DOI
  21. T.D. Lee and G.C. Wick Phys. Rev. D 2, 1033 (1970). · DOI
  22. N.C. Tsamis and R.P. Woodard, Ann. Phys. 168, 457 (1986). · DOI
  23. S.W. Hawking and T. Hertog Phys. Rev. D 65, 103515 (2002), hep-th/0107088. · DOI
  24. M.S. Plyushchay, Mod. Phys. Lett. A 4, 837 (1989). · DOI
  25. D. Zoller, Phys. Rev. Lett. 65, 2236 (1990). · DOI
  26. R.P. Woodard, Phys. Lett. B 148, 440 (1984). · DOI
  27. D.G. Boulware, G.T. Horowitz and A. Strominger Phys. Rev. Lett. 50, 1726 (1983). · DOI
  28. A. Strominger, Phys. Rev. D 30, 2257 (1984). · DOI
  29. G. Kleppe and R.P. Woodard, Nucl. Phys. B 388, 81 (1992). · DOI
  30. T.C. Cheng, P.M. Ho and M.C. Yeh, Nucl. Phys. B 625, 151 (2002), hep-th/0111160. · DOI
  31. A. Jain and S.D. Joglekar, Int. J. Mod. Phys. A 19, 3409 (2004), hep-th/0307208. · DOI
  32. D.J. Gross and A. Jevicki, Nucl. Phys. B 283, 1 (1987). · DOI
  33. D.J. Gross and A. Jevicki, Nucl. Phys. B 287, 225 (1987). · DOI
  34. D.J. Gross and A. Jevicki, Nucl. Phys. B 293, 29 (1987). · DOI
  35. A. Konechny and A. Schwarz, Phys. Rept. 360, 353 (2002), hep-th0107251. · DOI
  36. J.L. Hewett, F.J. Petriello and T.G. Rizzo, Phys. Rev. D 64, 075012 (2001), hep-ph/0010354. · DOI
  37. D. Evens, J.W. Moffat, G. Kleppe and R.P. Woodard, Phys. Rev. D 43, 499 (1991). · DOI
  38. G. Kleppe and R.P. Woodard, Phys. Lett. B 253, 331 (1991). · DOI
  39. G. Kleppe and R.P. Woodard, Ann. Phys. B 221, 106 (1993). · DOI
  40. M.E. Soussa and R.P. Woodard, Class. Quant. Grav. 20, 2737 (2003), astro-ph/0302030. · DOI
  41. T. Biswas, A. Mazumdar and W. Siegel, JCAP 0603, 009 (2006), hep-th/0508194. · DOI
  42. R.P. Woodard, Phys. Rev. A 62, 052105 (2000), hep-th/0006207. · DOI
  43. J. Llosa, hep-th/0201087. · arXiv
  44. R.P. Woodard, Phys. Rev. A 67, 016102 (2003), hep-th/0207191. · DOI
  45. A.O. Barvinsky, Y.V. Gusev, G.A. Vilkovisky and V.V. Zhytnikov, J. Math. Phys. 35, 3525 (1994), gr-qc/9404061. · DOI
  46. A.O. Barvinsky and V.F. Mukhanov, Phys. Rev. D 66, 065007 (2202), hep-th/0203132. · arXiv
  47. D.L. Bennett, H.B. Nielsen and R.P. Woodard, Phys. Rev. D 57, 1167 (1998, hep-th/9707088. · DOI
  48. S. Nojiri and S.D. Odintsov, Int. J. Geom. Meth. Mod. Phys. 4, 115 (2007), hep-th/0601213. · DOI
  49. S.M. Carroll, V. Duvvuri, M. Trodden and M.S. Turner, Phys. Rev. D 70, 043528 (2004), astro-ph/0306438. · DOI
  50. S. Capozziello, S. Carloni and A. Troisi, Phys. Rev. D 70, 043528 (2004), astro-ph/0306438. · arXiv
  51. S.M. Carroll, A. De Felice, V. Duvvuri, D.A. Easson, M. Trodden and M.S. Turner, Phys. Rev. D 71, 063513 (2005), astro-ph/0410031. · DOI · Paper page
  52. S. Nojiri and S.D. Odintsov, Phys. Lett. B 576, 5 (2003), hep-th/0307071. · DOI
  53. A.D. Dolgov and M. Kawasaki, Phys. Let. B 573, 1 (2003), astro-ph/0307285. · DOI
  54. R. Dick, Gen. Rel. Grav. 36, 217 (2004), gr-qc/0307052. · DOI
  55. S. Nojiri and S.D. Odintsov, Phys. Rev. D 68, 123512 (2003), hep-th/0307288. · DOI · Paper page
  56. M.E. Soussa and R.P. Woodard, Gen. Rel. Grav. 36, 855 (2004), astro-ph/0308114. · DOI
  57. S. Nojiri and S.D. Odintsov, Gen. Rel. Grav. 36, 1765 (2004), hep-th/0308176. · DOI
  58. M. Amarzguioui, Ø. Elgaroy, D.F. Mota and T. Multamäki, astro-ph/0510519. · arXiv
  59. D. Espriu, T. Multamäki and E.C. Vagenas, Phys. Lett. B 628, 197 (2005), gr-qc/0503033. · DOI
  60. N.C. Tsamis and R.P. Woodard, Ann. Phys. 238, 1 (1995). · DOI
  61. P. Martineau and R. Brandenberger, astro-ph/0510523. · arXiv
  62. N.C. Tsamis and R.P. Woodard, Nucl. Phys. B 474, 235 (1996), hep-ph/9602315. · DOI · Paper page
  63. N.C. Tsamis and R.P. Woodard, Ann. Phys. 253, 1 (1997), hep-ph/9602317. · DOI · Paper page
  64. V.K. Onemli and R.P. Woodard, Class. Quant. Grav. 19, 4607 (2002), gr-qc/0204065. · DOI
  65. V.K. Onemli and R.P. Woodard, Phys. Rev. D 70, 107301 (2004), gr-qc/0406098. · DOI
  66. A.A. Starobinskiĭ, Stochastic de Sitter (inflationary) stage in the early universe. In, Field Theory, Quantum Gravity and Strings, ed by H.J. de Vega and N. Sanchez (Springer-Verlag, Berlin, 1986) pp 107–126. · DOI
  67. A.A. Starobinskiĭ and J.Yokoyama, Phys. Rev. D 50, 6357 (1994), astro-ph/-9407016. · DOI · Paper page
  68. R.P. Woodard, Nucl. Phys. Proc. Suppl. 148, 108 (2005), astro-ph/0502556. · arXiv
  69. N.C. Tsamis and R.P. Woodard, Nucl. Phys. B 724, 295 (2005), gr-qc/0505115. · DOI
  70. M.E. Soussa and R.P. Woodard, Phys. Lett. B 578, 253 (2004), astro-ph/0307358. · DOI

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Metadata

Authors
Woodard, R.
Venue
Lecture Notes in Physics
Published
2007
Pages
403-433
ISSN
0075-8450
Cited by
455
References
5
Language
en

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