Loop Quantum Cosmology: Anisotropy and Singularity Resolution

  • Alejandro CorichiEmail author
  • Asieh Karami
  • Edison Montoya
Conference paper
Part of the Springer Proceedings in Physics book series (SPPHY, volume 157)


In this contribution we consider the issue of singularity resolution within loop quantum cosmology (LQC) for different homogeneous models. We present results of numerical evolutions of effective equations for both isotropic as well as anisotropic cosmologies, with and without spatial curvature. To address the issue of singularity resolution we examine geometrical and curvature invariants that yield information about the spacetime geometry. We discuss generic behavior found for a variety of initial conditions.


Poisson Bracket Planck Scale Effective Theory Isotropic Model Anisotropic Model 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


  1. 1.
    Ashtekar, A., Corichi, A., Singh, P.: Robustness of key features of loop quantum cosmology. Phys. Rev. D 77, 024046 (2008). doi: 10.1103/PhysRevD.77.024046 ADSCrossRefMathSciNetGoogle Scholar
  2. 2.
    Ashtekar, A., Pawlowski, T., Singh, P.: Quantum nature of the big bang: improved dynamics. Phys. Rev. D 74, 084003 (2006). doi: 10.1103/PhysRevD.74.084003 ADSCrossRefMathSciNetGoogle Scholar
  3. 3.
    Ashtekar, A., Singh, P.: Loop quantum cosmology: a status report. Class. Quantum Grav. 28, 213001 (2011). doi: 10.1088/0264-9381/28/21/213001 ADSCrossRefMathSciNetGoogle Scholar
  4. 4.
    Wilson-Ewing, E.: Loop quantum cosmology of Bianchi type IX models. Phys. Rev. D 82, 043508 (2010). doi: 10.1103/PhysRevD.82.043508 ADSCrossRefGoogle Scholar
  5. 5.
    Ashtekar, A., Wilson-Ewing, E.: Loop quantum cosmology of Bianchi I models. Phys. Rev. D 79, 083535 (2009). doi: 10.1103/PhysRevD.79.083535 ADSCrossRefMathSciNetGoogle Scholar
  6. 6.
    Ashtekar, A., Wilson-Ewing, E.: Loop quantum cosmology of Bianchi type II models. Phys. Rev. D 80, 123532 (2009). doi: 10.1103/PhysRevD.80.123532 ADSCrossRefMathSciNetGoogle Scholar
  7. 7.
    Thiemann, T.: Modern Canonical Quantum General Relativity. Cambridge Monographs on Mathematical Physics. Cambridge University Press, Cambridge (2007)CrossRefzbMATHGoogle Scholar
  8. 8.
    Corichi, A., Montoya, E.: Effective dynamics in Bianchi type II loop quantum cosmology. Phys. Rev. D 85, 104052 (2012). doi: 10.1103/PhysRevD.85.104052 ADSCrossRefGoogle Scholar
  9. 9.
    Corichi, A., Karami, A., Montoya, E.: Loop quantum cosmology: anisotropy and singularity resolution. ArXiv e-prints [ arXiv.1210.7248[gr-qc]] (2012)
  10. 10.
    Gupt, B., Singh, P.: Contrasting features of anisotropic loop quantum cosmologies: the role of spatial curvature. Phys. Rev. D 85, 044011 (2012). doi: 10.1103/PhysRevD.85.044011 ADSCrossRefGoogle Scholar

Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  • Alejandro Corichi
    • 1
    Email author
  • Asieh Karami
    • 1
    • 2
  • Edison Montoya
    • 1
    • 2
  1. 1.Centro de Ciencias MatemáticasUniversidad Nacional Autónoma de MéxicoMoreliaMexico
  2. 2.Instituto de Física y MatemáticasUniversidad Michoacana de San Nicolás de HidalgoMoreliaMexico

Personalised recommendations