Behavior of Bianchi type i spacetime by path integral approach in LQC

Kazuya Fujio, Toshifumi Futamase

研究成果: Article査読

8 被引用数 (Scopus)


We investigate the expansion behavior of Bianchi type I spacetime with a massless scalar field and a cosmological constant using the path integral approach of loop quantum cosmology developed by Ashtekar, Campiglia, and Henderson. We obtain the effective action for this model and calculate the semiclassical solutions. Although classical general relativity is a good approximation at large scales, it is shown that the loop quantum effect induces a repulsive force at small scales to avoid the big bang singularity as in the isotropic cases. We investigate the evolution of anisotropy in detail and find that the anisotropy cannot increase indefinitely like in the classical case.

ジャーナルPhysical Review D - Particles, Fields, Gravitation and Cosmology
出版ステータスPublished - 2012 6月 4

ASJC Scopus subject areas

  • 核物理学および高エネルギー物理学
  • 物理学および天文学(その他)


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