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
Bojowald, M.: Class. Quantum Grav. 21, 3733 (2004). gr-qc/0407017
Cordero, P.: Ann. Phys. 108, 79 (1977)
Cordero, P., Teitelboim, C.: Ann. Phys. 100, 607 (1976)
Kobayashi, S., Nomizu, K.: Foundations of Differential Geometry, vol 1. Wiley, New York (1963)
Brodbeck, O.: Helv. Phys. Acta. 69, 321 (1996). gr-qc/9610024
Bojowald, M.: Canonical Gravity and Applications: Cosmology, Black Holes, and Quantum Gravity. Cambridge University Press, Cambridge (2010)
Thiemann, T., Kastrup, H.A.: Nucl. Phys. B 399, 211 (1993). gr-qc/9310012
Kastrup, H.A., Thiemann, T.: Nucl. Phys. B 425, 665 (1994). gr-qc/9401032
Husain, V., Smolin, L.: Nucl. Phys. B 327, 205 (1989)
Bojowald, M., Swiderski, R.: Class. Quantum Grav. 21, 4881 (2004). gr-qc/0407018
Neville D.E. gr-qc/0511005
Neville D.E. gr-qc/0511006
Bojowald, M.: Class. Quantum Grav. 23, 987 (2006). gr-qc/0508118
Dasgupta, A.: JCAP 0308, 004 (2003). hep-th/0305131
Dasgupta, A.: Class. Quantum Grav. 23, 635 (2006). gr-qc/0505017
Bojowald, M., Swiderski, R.: Class. Quantum Grav. 23, 2129 (2006). gr-qc/0511108
Bojowald, M., Harada, T., Tibrewala, R.: Phys. Rev. D 78,064057 (2008). arXiv:0806.2593
Vaz, C., Witten, L.: Phys. Rev. D 60, 024009 (1999). arXiv:gr-qc/9811062
Vaz, C., Witten, L., Singh, T.P.: Phys. Rev. D 63, 104020 (2001). arXiv:gr-qc/0012053
Barve, S., Singh, T.P., Vaz, C., Witten, L.: Nucl. Phys. B 532, 361 (1998). gr-qc/9802035
Kiefer, C., Müller-Hill, J., Singh, T.P., Vaz, C.: Phys. Rev. D 75, 124010 (2007). gr-qc/0703008
Vaz, C., Gutti, S., Kiefer, C., Singh, T.P.: Phys. Rev. D 76, 124021 (2007). arXiv:0710.2164
Tibrewala, R., Gutti, S., Singh, T.P., Vaz, C.: Phys. Rev. D 77, 064012 (2008). arXiv:0712.1413
Vaz C., Tibrewala R., Singh T.P. arXiv:0805.0519
Brown, J.D., Kuchař, K.V.: Phys. Rev. D 51, 5600 (1995)
Kiefer, C., Müller-Hill, J., Vaz, C.: Phys. Rev. D 73, 044025 (2006). gr-qc/0512047
Bojowald, M., Reyes, J.D., Tibrewala, R.: Phys. Rev. D 80, 084002 (2009). arXiv:0906.4767
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)
Ikeda, N., Izawa, K.I.: Prog. Theor. Phys. 90, 237 (1993). hep-th/9304012
Ikeda, N.: Ann. Phys. 235, 435 (1994). hep-th/9312059
Schaller, P., Strobl, T.: Mod. Phys. Lett. A 9, 3129 (1994). hep-th/9405110
Grumiller, D., Kummer, W., Vassilevich, D.V.: Phys. Rept.369, 327 (2002). hep-th/0204253
Izawa, K.I.: Prog. Theor. Phys. 103, 225 (2000). hep-th/9910133
Bojowald, M., Reyes, J.D.: Class. Quantum Grav. 26, 035018 (2009). arXiv:0810.5119
Banerjee, K., Date, G.: Class. Quantum Grav. 25, 105014 (2008). arXiv:0712.0683
Bičák, J., Schmidt, B.: Phys. Rev. D 40, 1827 (1989)
Gowdy, R.H.: Ann. Phys. 83, 203 (1974)
Isenberg, J., Moncrief, V.: Ann. Phys. 199, 84 (1990)
Hinterleitner F., Major S.: arXiv:1006.4146
Banerjee, K., Date, G.: Class. Quantum Grav. 25, 145004 (2008). arXiv:0712.0687
Martín-Benito, M., Garay, L.J., Mena Marugán, G.A.: Phys. Rev. D 78, 083516 (2008). arXiv:0804.1098
Varadarajan, M.: Phys. Rev. D 64, 104003 (2001). gr-qc/0104051
Varadarajan, M.: Phys. Rev. D 66, 024017 (2002). gr-qc/0204067
Brizuela, D., Mena Marugán, G.A., Pawlowski, T.: Class. Quantum Grav. 27, 052001 (2010). arXiv:0902.0697
Mena Marugán, G.: Phys. Rev. D 56, 908 (1997). gr-qc/9704041
Corichi, A., Cortez, J., Quevedo, H.: Phys. Rev. D 67, 087502 (2003)
Cortez, J., Mena Marugan, G.A.: Phys. Rev. D 72, 064020 (2005)
Corichi, A., Cortez, J., Mena Marugan, G.A., Velhinho, J.M.: Phys. Rev. D 76, 124031 (2007). arXiv:0710.0277
Cortez, J., Mena Marugan, G.A., Olmedo, J., Velhinho, J.M.: Phys. Rev. D 83, 025002 (2011). arXiv:1101.2397
Bojowald, M.: Phys. Rev. Lett .95, 061301 (2005). gr-qc/0506128
Horowitz, G.T., Myers, R.C.: Gen. Rel. Grav. 27, 915 (1995). gr-qc/9503062
Smolin L. gr-qc/9609034
Giesel, K., Thiemann, T.: Class. Quantum Grav. 24, 2465 (2007). gr-qc/0607099
Bojowald, M.: Phys. Rev. Lett. 87, 121301 (2001). gr-qc/0104072
Bojowald, M.: Gen. Rel. Grav. 35, 1877 (2003). gr-qc/0305069
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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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