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Variable G and Λ: scalar-tensor versus RG-improved cosmology

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Abstract

We study the consequences due to time varying G and Λ in scalar-tensor theories of gravity for cosmology, inspired by the modifications introduced by the Renormalization Group (RG) equations in the Quantum Einstein Gravity. We assume a power-law scale factor in presence contemporarily of both the scalar field and the matter components of the cosmic fluid, and analyze a special case and its generalization, also showing the possibility of a phantom cosmology. In both such situations we find a negative kinetic term for the scalar field Q and, possibly, an equation-of-state parameter w Q < −1. A violation of dominant energy condition (DEC) for Q is also possible in both of them; but, while in the first special case the Q-energy density then remains positive, in the second one we find it negative.

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References

  1. Benvenuto, O.G., García-Berro, E., Isern, J.: Phys. Rev. D 69, 082002 (2004)

    Google Scholar 

  2. Ponce de Leon, J.: Class. Quantum Gravity 20, 5321 (2003)

    Google Scholar 

  3. Overduin, J.M., Cooperstock, F.I.: Phys. Rev. D 58, 043506 (1998)

    Google Scholar 

  4. Majerník, V.: Phys. Lett.A 282, 362 (2001)

    Google Scholar 

  5. Arbab, A.I.: Gen. Relativ. Gravit. 29, 62 (1997)

    Google Scholar 

  6. Bonanno, A., Reuter, M.: Phys. Rev.D 65, 025013 (2002)

    Google Scholar 

  7. Reuter, M.: Phys. Rev.D 57, 971 (1998)

    Google Scholar 

  8. Bonanno, A., Reuter, M.: Phys. Lett.B 527, 9 (2002)

    Google Scholar 

  9. Bonanno, A., Esposito, G., Rubano, C., Scudellaro, P.: Transition from standard FRW universe to accelerated expansion in the framework of RG improved cosmology, in preparation (2004)

  10. Reuter, M., Weyer, H.: Phys. Rev.D 69, 104022 (2004)

    Google Scholar 

  11. Bonanno, A., Esposito, G., Rubano, C.: gr-qc/0403115

  12. Capozziello, S., de Ritis, R., Marino, A.A.: Helv. Phys. Acta 69, 241 (1996)

    Google Scholar 

  13. Capozziello, S., de Ritis, R.: Gen. Relativ. Gravit. 29, 1425 (1997)

    Google Scholar 

  14. de Ritis, R., Marino, A.A.: Phys. Rev.D 64, 083509 (2001)

    Google Scholar 

  15. Caldwell, R.: Phys. Lett.B 545, 23 (2002)

    Google Scholar 

  16. Hawking, S.W., Ellis, G.F.R.: The Large Scale Structure of Space-Time. Cambridge University Press, Cambridge (1973)

    Google Scholar 

  17. Carroll, S.M., Hoffman, M., Trodden, M.: Phys. Rev.D 68, 023509 (2003)

    Google Scholar 

  18. Barrow, J.D.: Nucl. Phys.B 310, 743 (1988)

    Google Scholar 

  19. Hoyle, F., Narlikar, J.V.: Proc. R. Soc. 273, 1 (1963)

    Google Scholar 

  20. Hoyle, F., Narlikar, J.V.: Proc. R. Soc. 278, 465 (1964)

    Google Scholar 

  21. Hoyle, F., Narlikar, J.V.: Proc. R. Soc. 282, 178 (1965)

    Google Scholar 

  22. Narlikar, J.V.: An Introduction to Cosmology. Cambridge University Press, Cambridge (2002)

    Google Scholar 

  23. Gibbons, G.W.: hep-th/0302199

  24. Salgado, M., Sudarsky, D.: gr-qc/0402126

  25. Henry-Couannier, F.: gr-qc/0404110

  26. Melchiorri, A., Mersini, L., Odman, C.J., Trodden, M.: Phys. Rev. D 68, 043509 (2003)

    Google Scholar 

  27. Johri, V.B.: Phys. Rev. D 70, 041303 (2004)

    Google Scholar 

  28. Faraoni, V.: Int. J. Mod. Phys.D 11, 471 (2002)

    Google Scholar 

  29. Cepa, J.: Astron. Astrophys. 422, 831 (2004)

    Google Scholar 

  30. Caldwell, R.R., Kamionkowski, M., Weinberg, N.N.: Phys. Rev. Lett. 91, 071301 (2003)

    Google Scholar 

  31. Faraoni, V.: Phys. Rev.D 68, 063508 (2003)

    Google Scholar 

  32. González-Díaz, P.F.: Phys. Rev.D 68, 021303 (2003)

    Google Scholar 

  33. Yurov, A.V.: astro-ph/0305019

  34. Barrow, J.D.: Class. Quantum Gravity 21, L79 (2004)

    Google Scholar 

  35. Torres, D.F.: Phys. Rev.D 66, 043522 (2002)

    Google Scholar 

  36. Boisseau, B., Esposito-Farése, G., Polarski, D., Starobinsky, A.A.: Phys. Rev. Lett. 85, 2236 (2000)

    Google Scholar 

  37. Carroll, S.M.: Living Rev. Relativ. 4, 1 (2001)

    Google Scholar 

  38. Peebles, P.J.E., Ratra, B.: Rev. Mod. Phys. 75, 559 (2002)

    Google Scholar 

  39. Padmanabhan, T.: Phys. Rep. 380, 235 (2003)

    Google Scholar 

  40. Bentivegna, E., Bonanno, A., Reuter, M.: JCAP 01, 001 (2004)

    Google Scholar 

  41. Bertolami, O., Martins, P.J.: Phys. Rev.D 61, 064007 (2000)

    Google Scholar 

  42. Krauss, L.M.: Astrophys. J. 604, 481 (2004)

    Google Scholar 

  43. González-Díaz, P.F.: Phys. Lett.B 586, 1 (2004)

    Google Scholar 

  44. Slater, L.J.: Generalized Hypergeometric Functions. Cambridge University Press, Cambridge (1966)

    Google Scholar 

  45. Capozziello, S., de Ritis, R., Marino, A.A.: Class. Quantum Gravity 14, 3243 (1997)

    Google Scholar 

  46. Bonanno, A., Esposito, G., Rubano, C.: Gen. Relativ. Gravit. 35, 1899 (2003)

    Google Scholar 

  47. Schindler, S.: Space Sci. Rev. 100, 299 (2002)

    Google Scholar 

  48. Rubano, C., Scudellaro, P.: Gen. Relativ. Gravit. 34, 307 (2002)

    Google Scholar 

  49. Pavlov, M., Rubano, C., Sazhin, M., Scudellaro, P.: Astrophys. J. 566, 619 (2002)

    Google Scholar 

  50. Rubano, C., Scudellaro, P., Piedipalumbo, E., Capozziello, S., Capone, M.: Phys. Rev. D 69, 103510 (2004)

    Google Scholar 

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Rubano, C., Scudellaro, P. Variable G and Λ: scalar-tensor versus RG-improved cosmology. Gen Relativ Gravit 37, 521–539 (2005). https://doi.org/10.1007/s10714-005-0040-0

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