Abstract
Intrinsic properties of the space itself and quantum fluctuations of its geometry are sufficient to provide a mechanism for the acceleration of cosmological expansion (dark energy effect). Applying Bogoliubov–Born–Green–Kirkwood–Yvon hierarchy approach to self-consistent equations of one-loop quantum gravity, we found exact solutions that yield acceleration. The permanent creation and annihilation of virtual gravitons is not in exact balance because of the expansion of the Universe. The excess energy comes from the spontaneous process of graviton creation and is trapped by the background. It provides the macroscopic quantum effect of cosmic acceleration.
References
Riese, A.G., et al.: Astron. J. 116, 1009 (1998)
Perlmutter, S., et al.: Astrophys. J. 517, 565 (1999)
Szydlowski, M., Kurek, A., Krawiec, A.: Phys. Lett. B 642, 171 (2006)
Szydlowski, M.: J. Cosmol. Astropart. Phys. 09, 007 (2007)
Marochnik, L., Usikov, D., Vereshkov, G.: In preparation
Riess, A., et al.: http://arxiv.org/abs/astro-ph/0611572
Goroff, M.H., Sagnotti, A.: Phys. Lett. B 160, 81 (1985)
t’Hooft, G., Veltman, M.: Ann. Inst. Henri Poincare 20, 69 (1974)
Schutzhold, R.: arXiv:0712.1429 [gr-qc] (2007)
Marochnik, L.S., Pelikhov, N.V., Vereshkov, G.M.: Astrophys. Space Sci. 34, 249 (1975)
Marochnik, L.S., Pelikhov, N.V., Vereshkov, G.M.: Astrophys. Space Sci. 34, 281 (1975)
Abramo, L.R.W., Brandenberger, R., Mukhanov, V.F.: Phys. Rev. D 56, 3248 (1997)
Faddeev, L.D., Popov, V.N.: Phys. Lett. B 25, 30 (1967)
DeWitt, B.S.: Phys. Rev. 160, 1113 (1967)
DeWitt, B.S.: Phys. Rev. 162, 1195–1239 (1967)
Hawking, S.W.: The path-integral approach to quantum gravity. In: Hawking, S.W., Israel, W. (eds.) General Relativity, pp. 746–789. Cambridge University Press, Cambridge (1979)
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Marochnik, L., Usikov, D. & Vereshkov, G. Cosmological Acceleration from Virtual Gravitons. Found Phys 38, 546–555 (2008). https://doi.org/10.1007/s10701-008-9220-6
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DOI: https://doi.org/10.1007/s10701-008-9220-6