Copyright © 2008 Leonardo Modesto. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

1. C. Rovelli, Quantum Gravity, Cambridge University Press, Cambridge, UK, 2004. View at Zentralblatt MATH
2. A. Ashtekar and J. Lewandowski, “Background independent quantum gravity: a status report,” Classical and Quantum Gravity, vol. 21, no. 15, pp. R53–R152, 2004. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
3. T. Thiemann, “Loop quantum gravity: an inside view,” in Approaches to Fundamental Physics, vol. 721 of Lecture Notes in Physics, pp. 185–263, Springer, Berlin, Germany, 2007. View at Publisher · View at Google Scholar · View at MathSciNet
4. T. Thiemann, “Introduction to modern canonical quantum general relativity,” submitted, http://arxiv.org/abs/gr-qc/0110034.
5. T. Thiemann, “Lectures on loop quantum gravity,” in Quantum Gravity, vol. 631 of Lecture Notes in Physics, pp. 41–135, Springer, Berlin, Germany, 2003. View at Zentralblatt MATH · View at MathSciNet
6. M. Reuter, “Nonperturbative evolution equation for quantum gravity,” Physical Review D, vol. 57, no. 2, pp. 971–985, 1998. View at Publisher · View at Google Scholar · View at MathSciNet
7. M. Bojowald, “Inverse scale factor in isotropic quantum geometry,” Physical Review D, vol. 64, no. 8, Article ID 084018, 8 pages, 2001. View at Publisher · View at Google Scholar · View at MathSciNet
8. M. Bojowald, “Loop quantum cosmology: IV. Discrete time evolution,” Classical and Quantum Gravity, vol. 18, no. 6, pp. 1071–1087, 2001. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
9. M. Bojowald, “Loop quantum cosmology: recent progress,” Pramana, vol. 63, no. 4, pp. 765–776, 2004. View at Publisher · View at Google Scholar
10. A. Ashtekar, M. Bojowald, and J. Lewandowski, “Mathematical structure of loop quantum cosmology,” Advances in Theoretical and Mathematical Physics, vol. 7, no. 2, pp. 233–268, 2003. View at MathSciNet
11. L. Modesto, “Disappearance of the black hole singularity in loop quantum gravity,” Physical Review D, vol. 70, no. 12, Article ID 124009, 5 pages, 2004. View at Publisher · View at Google Scholar · View at MathSciNet
12. L. Modesto, “The Kantowski-Sachs space-time in loop quantum gravity,” International Journal of Theoretical Physics, vol. 45, no. 12, pp. 2235–2246, 2006. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
13. L. Modesto, “Gravitational collapse in loop quantum gravity,” International Journal of Theoretical Physics, vol. 47, no. 2, pp. 357–373, 2008. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
14. L. Modesto, “Quantum gravitational collapse,” submitted, http://arxiv.org/abs/gr-qc/0504043.
15. A. Ashtekar and M. Bojowald, “Quantum geometry and the Schwarzschild singularity,” Classical and Quantum Gravity, vol. 23, no. 2, pp. 391–411, 2006. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
16. L. Modesto, “Loop quantum black hole,” Classical and Quantum Gravity, vol. 23, no. 18, pp. 5587–5601, 2006. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
17. A. Bonanno and M. Reuter, “Renormalization group improved black hole spacetimes,” Physical Review D, vol. 62, no. 4, Article ID 043008, 21 pages, 2000. View at Publisher · View at Google Scholar
18. A. Bonanno and M. Reuter, “Spacetime structure of an evaporating black hole in quantum gravity,” Physical Review D, vol. 73, no. 8, Article ID 083005, 10 pages, 2006. View at Publisher · View at Google Scholar · View at MathSciNet
19. C. G. Böhmer and K. Vandersloot, “Loop quantum dynamics of the Schwarzschild interior,” Physical Review D, vol. 76, no. 10, Article ID 104030, 11 pages, 2007. View at Publisher · View at Google Scholar · View at MathSciNet
20. C. Rovelli and L. Smolin, “Loop space representation of quantum general relativity,” Nuclear Physics B, vol. 331, no. 1, pp. 80–152, 1990. View at Publisher · View at Google Scholar · View at MathSciNet
21. C. Rovelli and L. Smolin, “Discreteness of area and volume in quantum gravity,” Nuclear Physics B, vol. 442, no. 3, pp. 593–619, 1995. View at Zentralblatt MATH · View at MathSciNet
22. M. Bojowald, “Quantization ambiguities in isotropic quantum geometry,” Classical and Quantum Gravity, vol. 19, no. 20, pp. 5113–5129, 2002. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
23. S. O. Bilson-Thompson, F. Markopoulou, and L. Smolin, “Quantum gravity and the standard model,” Classical and Quantum Gravity, vol. 24, no. 16, pp. 3975–3993, 2007. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
24. A. Ashtekar and M. Bojowald, “Black hole evaporation: a paradigm,” Classical and Quantum Gravity, vol. 22, no. 16, pp. 3349–3362, 2005. View at Publisher · View at Google Scholar · View at MathSciNet