Modesto, Leonardo Black hole interior from loop quantum gravity. (English) Zbl 1216.83038 Adv. High Energy Phys. 2008, Article ID 459290, 12 p. (2008). Summary: We calculate modifications to the Schwarzschild solution by using a semiclassical analysis of loop quantum black hole. We obtain a metric inside the event horizon that coincides with the Schwarzschild solution near the horizon but that is substantially different at the Planck scale. In particular, we obtain a bounce of the \(S^2\) sphere for a minimum value of the radius and that it is possible to have another event horizon close to the \(r=0\) point. Cited in 16 Documents MSC: 83C57 Black holes 81Q20 Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory PDF BibTeX XML Cite \textit{L. Modesto}, Adv. High Energy Phys. 2008, Article ID 459290, 12 p. (2008; Zbl 1216.83038) Full Text: DOI arXiv References: [1] C. Rovelli, Quantum Gravity, Cambridge University Press, Cambridge, UK, 2004. · Zbl 1091.83001 [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. · Zbl 1077.83017 [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. · Zbl 1151.83019 [4] T. Thiemann, “Introduction to modern canonical quantum general relativity,” submitted, http://arxiv.org/abs/gr-qc/0110034. · Zbl 1129.83004 [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. · Zbl 1056.83015 [6] M. Reuter, “Nonperturbative evolution equation for quantum gravity,” Physical Review D, vol. 57, no. 2, pp. 971-985, 1998. [7] M. Bojowald, “Inverse scale factor in isotropic quantum geometry,” Physical Review D, vol. 64, no. 8, Article ID 084018, 8 pages, 2001. · Zbl 0976.83021 [8] M. Bojowald, “Loop quantum cosmology: IV. Discrete time evolution,” Classical and Quantum Gravity, vol. 18, no. 6, pp. 1071-1087, 2001. · Zbl 0976.83022 [9] M. Bojowald, “Loop quantum cosmology: recent progress,” Pramana, vol. 63, no. 4, pp. 765-776, 2004. [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. [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. [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. · Zbl 1130.83311 [13] L. Modesto, “Gravitational collapse in loop quantum gravity,” International Journal of Theoretical Physics, vol. 47, no. 2, pp. 357-373, 2008. · Zbl 1140.83354 [14] L. Modesto, “Quantum gravitational collapse,” submitted, http://arxiv.org/abs/gr-qc/0504043. · Zbl 1140.83354 [15] A. Ashtekar and M. Bojowald, “Quantum geometry and the Schwarzschild singularity,” Classical and Quantum Gravity, vol. 23, no. 2, pp. 391-411, 2006. · Zbl 1090.83021 [16] L. Modesto, “Loop quantum black hole,” Classical and Quantum Gravity, vol. 23, no. 18, pp. 5587-5601, 2006. · Zbl 1101.83033 [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. [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. [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. · Zbl 1197.83058 [20] C. Rovelli and L. Smolin, “Loop space representation of quantum general relativity,” Nuclear Physics B, vol. 331, no. 1, pp. 80-152, 1990. [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. · Zbl 0925.83013 [22] M. Bojowald, “Quantization ambiguities in isotropic quantum geometry,” Classical and Quantum Gravity, vol. 19, no. 20, pp. 5113-5129, 2002. · Zbl 1029.83016 [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. · Zbl 1124.83009 [24] A. Ashtekar and M. Bojowald, “Black hole evaporation: a paradigm,” Classical and Quantum Gravity, vol. 22, no. 16, pp. 3349-3362, 2005. · Zbl 1160.83332 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.