Quantum geometry and the Schwarzschild singularity

By Abhay Ashtekar, M. Bojowald. 2005

423 citations recorded by the source corpus.

In homogeneous cosmologies, quantum geometry effects lead to a resolution of the classical singularity without having to invoke special boundary conditions at the singularity or introduce ad hoc elements such as unphysical matter. The same effects are shown to lead to a resolution of the Schwarzschild singularity. The resulting quantum extension of spacetime is likely to have significant implications for the black hole evaporation process. Similarities and differences with the situation in quantum geometrodynamics are pointed out.

Subfields: Applied Mathematics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/65f7733951198c94c73be96ca88f9c35cd880e2a

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In Applied Mathematics

In Nuclear and High Energy Physics

In Statistical and Nonlinear Physics

Citations in the corpus

Loop quantum dynamics of the Schwarzschild interior (2007, methodology): “For the holonomies on the two-sphere, the loop does not close as discussed in [8], but we can assign an effective area given by Aθφ = δ 2 b pc .”
From black holes to white holes: a quantum gravitational, symmetric bounce (2017, neutral): “(B8) [1] A. Ashtekar and M. Bojowald, “Quantum geometry and the Schwarzschild singularity,” Class.”
Inflationary Cosmology in Modified Gravity Theories (2015, methodology): “Particularly, we consider inflation (i) derived by modification terms of gravity [26]; (ii) through the quantum anomaly [27]; and (iii) in R gravity in the framework of the so-called loop quantum cosmology (LQC) [29–33] to include quantum effects [28] (for reviews on LQC, see, for example, [34–40]).”
Spherically symmetric quantum geometry: Hamiltonian constraint (2005, background): “(See also [45] for a discussion in a homogeneous model.”
Phenomenological aspects of black holes beyond general relativity (2018, background): “[34] Abhay Ashtekar and Martin Bojowald, “Quantum geometry and the Schwarzschild singularity,” Class.”
FUNDAMENTAL STRUCTURE OF LOOP QUANTUM GRAVITY (2005, background): “It turns out that the interio rs f the black holes are also singularity-free due to the quantum geometric propert ies [101][102][50][10].”
Quantum nature of the big bang: An analytical and numerical investigation (2006, methodology): “[13, 14, 16, 17, 18, 19, 20, 21]), and, ii) phenomenological predictions based on ‘effective’ equations (see e.”
New spinfoam vertex for quantum gravity (2007, background): “We hope that the developments presented here will contribute to the promising recent advances in understanding the low energy limit of LQG, such as the ones on the graviton propagator [3, 11, 12, 22], on the emergence of effective actions for matter [23], or on applications to cosmology [24] and bla”
Loop quantum cosmology of k = 1 FRW models (2006, background): “The situation in general homogeneous models [5] as well as black hole interiors [13] is in between the two: Although Ωab is non-zero, its expression is simple and manageable.”
Loop quantization of the Schwarzschild interior revisited (2015, methodology): “black hole interior [6], the strategy followed a particular quantization of isotropic FLRW models [11, 12].”
Loop Quantum Cosmology (2005, background): “from the symmetric version (see also [14]).”