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Midisuperspace Models: Black Hole Collapse

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Book cover Quantum Cosmology

Part of the book series: Lecture Notes in Physics ((LNP,volume 835))

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Abstract

Inhomogeneous models of various kinds provide important steps toward the full theory, adding the issue of infinitely many degrees of freedom. The simplest inhomogenous model is that of spherical symmetry, which provides interesting ways to test the formalism as well as applications in the context of black holes. In the vacuum case the model has a finite number of dynamical degrees of freedom, but the infinitely many kinematical ones already allow one to test field theoretic aspects.

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References

  1. Bojowald, M.: Class. Quantum Grav. 21, 3733 (2004). gr-qc/0407017

    Article  MathSciNet  ADS  MATH  Google Scholar 

  2. Cordero, P.: Ann. Phys. 108, 79 (1977)

    Article  MathSciNet  ADS  Google Scholar 

  3. Cordero, P., Teitelboim, C.: Ann. Phys. 100, 607 (1976)

    Article  MathSciNet  ADS  Google Scholar 

  4. Kobayashi, S., Nomizu, K.: Foundations of Differential Geometry, vol 1. Wiley, New York (1963)

    Google Scholar 

  5. Brodbeck, O.: Helv. Phys. Acta. 69, 321 (1996). gr-qc/9610024

    MathSciNet  MATH  Google Scholar 

  6. Bojowald, M.: Canonical Gravity and Applications: Cosmology, Black Holes, and Quantum Gravity. Cambridge University Press, Cambridge (2010)

    Book  Google Scholar 

  7. Thiemann, T., Kastrup, H.A.: Nucl. Phys. B 399, 211 (1993). gr-qc/9310012

    Article  MathSciNet  ADS  Google Scholar 

  8. Kastrup, H.A., Thiemann, T.: Nucl. Phys. B 425, 665 (1994). gr-qc/9401032

    Article  MathSciNet  ADS  MATH  Google Scholar 

  9. Husain, V., Smolin, L.: Nucl. Phys. B 327, 205 (1989)

    Article  MathSciNet  ADS  Google Scholar 

  10. Bojowald, M., Swiderski, R.: Class. Quantum Grav. 21, 4881 (2004). gr-qc/0407018

    Article  MathSciNet  ADS  MATH  Google Scholar 

  11. Neville D.E. gr-qc/0511005

    Google Scholar 

  12. Neville D.E. gr-qc/0511006

    Google Scholar 

  13. Bojowald, M.: Class. Quantum Grav. 23, 987 (2006). gr-qc/0508118

    Article  MathSciNet  ADS  MATH  Google Scholar 

  14. Dasgupta, A.: JCAP 0308, 004 (2003). hep-th/0305131

    Article  ADS  Google Scholar 

  15. Dasgupta, A.: Class. Quantum Grav. 23, 635 (2006). gr-qc/0505017

    Article  ADS  MATH  Google Scholar 

  16. Bojowald, M., Swiderski, R.: Class. Quantum Grav. 23, 2129 (2006). gr-qc/0511108

    Article  MathSciNet  ADS  MATH  Google Scholar 

  17. Bojowald, M., Harada, T., Tibrewala, R.: Phys. Rev. D 78,064057 (2008). arXiv:0806.2593

    Article  MathSciNet  ADS  Google Scholar 

  18. Vaz, C., Witten, L.: Phys. Rev. D 60, 024009 (1999). arXiv:gr-qc/9811062

    Article  MathSciNet  ADS  Google Scholar 

  19. Vaz, C., Witten, L., Singh, T.P.: Phys. Rev. D 63, 104020 (2001). arXiv:gr-qc/0012053

    Article  MathSciNet  ADS  Google Scholar 

  20. Barve, S., Singh, T.P., Vaz, C., Witten, L.: Nucl. Phys. B 532, 361 (1998). gr-qc/9802035

    Article  ADS  Google Scholar 

  21. Kiefer, C., Müller-Hill, J., Singh, T.P., Vaz, C.: Phys. Rev. D 75, 124010 (2007). gr-qc/0703008

    Article  MathSciNet  ADS  Google Scholar 

  22. Vaz, C., Gutti, S., Kiefer, C., Singh, T.P.: Phys. Rev. D 76, 124021 (2007). arXiv:0710.2164

    Article  MathSciNet  ADS  Google Scholar 

  23. Tibrewala, R., Gutti, S., Singh, T.P., Vaz, C.: Phys. Rev. D 77, 064012 (2008). arXiv:0712.1413

    Article  MathSciNet  ADS  Google Scholar 

  24. Vaz C., Tibrewala R., Singh T.P. arXiv:0805.0519

    Google Scholar 

  25. Brown, J.D., Kuchař, K.V.: Phys. Rev. D 51, 5600 (1995)

    Article  MathSciNet  ADS  Google Scholar 

  26. Kiefer, C., Müller-Hill, J., Vaz, C.: Phys. Rev. D 73, 044025 (2006). gr-qc/0512047

    Article  MathSciNet  ADS  Google Scholar 

  27. Bojowald, M., Reyes, J.D., Tibrewala, R.: Phys. Rev. D 80, 084002 (2009). arXiv:0906.4767

    Article  MathSciNet  ADS  Google Scholar 

  28. Reyes J.D.: Spherically symmetric loop quantum gravity: connections to two-dimensional models and applications to gravitational collapse. Ph.D. thesis, The Pennsylvania State University (2009)

    Google Scholar 

  29. Ikeda, N., Izawa, K.I.: Prog. Theor. Phys. 90, 237 (1993). hep-th/9304012

    Article  MathSciNet  ADS  Google Scholar 

  30. Ikeda, N.: Ann. Phys. 235, 435 (1994). hep-th/9312059

    Article  ADS  MATH  Google Scholar 

  31. Schaller, P., Strobl, T.: Mod. Phys. Lett. A 9, 3129 (1994). hep-th/9405110

    Article  MathSciNet  ADS  MATH  Google Scholar 

  32. Grumiller, D., Kummer, W., Vassilevich, D.V.: Phys. Rept.369, 327 (2002). hep-th/0204253

    Article  MathSciNet  ADS  MATH  Google Scholar 

  33. Izawa, K.I.: Prog. Theor. Phys. 103, 225 (2000). hep-th/9910133

    Article  MathSciNet  ADS  Google Scholar 

  34. Bojowald, M., Reyes, J.D.: Class. Quantum Grav. 26, 035018 (2009). arXiv:0810.5119

    Article  MathSciNet  ADS  Google Scholar 

  35. Banerjee, K., Date, G.: Class. Quantum Grav. 25, 105014 (2008). arXiv:0712.0683

    Article  MathSciNet  ADS  Google Scholar 

  36. Bičák, J., Schmidt, B.: Phys. Rev. D 40, 1827 (1989)

    Article  MathSciNet  ADS  Google Scholar 

  37. Gowdy, R.H.: Ann. Phys. 83, 203 (1974)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  38. Isenberg, J., Moncrief, V.: Ann. Phys. 199, 84 (1990)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  39. Hinterleitner F., Major S.: arXiv:1006.4146

    Google Scholar 

  40. Banerjee, K., Date, G.: Class. Quantum Grav. 25, 145004 (2008). arXiv:0712.0687

    Article  MathSciNet  ADS  Google Scholar 

  41. Martín-Benito, M., Garay, L.J., Mena Marugán, G.A.: Phys. Rev. D 78, 083516 (2008). arXiv:0804.1098

    Article  MathSciNet  ADS  Google Scholar 

  42. Varadarajan, M.: Phys. Rev. D 64, 104003 (2001). gr-qc/0104051

    Article  MathSciNet  ADS  Google Scholar 

  43. Varadarajan, M.: Phys. Rev. D 66, 024017 (2002). gr-qc/0204067

    Article  MathSciNet  ADS  Google Scholar 

  44. Brizuela, D., Mena Marugán, G.A., Pawlowski, T.: Class. Quantum Grav. 27, 052001 (2010). arXiv:0902.0697

    Article  ADS  Google Scholar 

  45. Mena Marugán, G.: Phys. Rev. D 56, 908 (1997). gr-qc/9704041

    Article  MathSciNet  ADS  Google Scholar 

  46. Corichi, A., Cortez, J., Quevedo, H.: Phys. Rev. D 67, 087502 (2003)

    Article  MathSciNet  ADS  Google Scholar 

  47. Cortez, J., Mena Marugan, G.A.: Phys. Rev. D 72, 064020 (2005)

    Article  ADS  Google Scholar 

  48. Corichi, A., Cortez, J., Mena Marugan, G.A., Velhinho, J.M.: Phys. Rev. D 76, 124031 (2007). arXiv:0710.0277

    Article  MathSciNet  ADS  Google Scholar 

  49. Cortez, J., Mena Marugan, G.A., Olmedo, J., Velhinho, J.M.: Phys. Rev. D 83, 025002 (2011). arXiv:1101.2397

    Article  ADS  Google Scholar 

  50. Bojowald, M.: Phys. Rev. Lett .95, 061301 (2005). gr-qc/0506128

    Article  MathSciNet  ADS  Google Scholar 

  51. Horowitz, G.T., Myers, R.C.: Gen. Rel. Grav. 27, 915 (1995). gr-qc/9503062

    Article  MathSciNet  ADS  Google Scholar 

  52. Smolin L. gr-qc/9609034

    Google Scholar 

  53. Giesel, K., Thiemann, T.: Class. Quantum Grav. 24, 2465 (2007). gr-qc/0607099

    Article  MathSciNet  ADS  MATH  Google Scholar 

  54. Bojowald, M.: Phys. Rev. Lett. 87, 121301 (2001). gr-qc/0104072

    Article  MathSciNet  ADS  Google Scholar 

  55. Bojowald, M.: Gen. Rel. Grav. 35, 1877 (2003). gr-qc/0305069

    Article  MathSciNet  ADS  MATH  Google Scholar 

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Correspondence to Martin Bojowald .

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Bojowald, M. (2011). Midisuperspace Models: Black Hole Collapse. In: Quantum Cosmology. Lecture Notes in Physics, vol 835. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-8276-6_9

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  • DOI: https://doi.org/10.1007/978-1-4419-8276-6_9

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