2021
DOI: 10.3390/universe7030048
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Towards Black-Hole Singularity-Resolution in the Lorentzian Gravitational Path Integral

Abstract: Quantum gravity is expected to resolve the singularities of classical general relativity. Based on destructive interference of singular spacetime-configurations in the path integral, we find that higher-order curvature terms may allow to resolve black-hole singularities both in the spherically symmetric and axisymmetric case. In contrast, the Einstein action does not provide a dynamical mechanism for singularity-resolution through destructive interference of these configurations.

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Cited by 34 publications
(48 citation statements)
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References 88 publications
(139 reference statements)
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“…The last principle distinguishes our construction from other work in spinning spacetimes, e.g., [18,22,23,25,26,28,29,32,[34][35][36]. As we will see, its implementation results in distinct new spacetime and image features.…”
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confidence: 95%
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“…The last principle distinguishes our construction from other work in spinning spacetimes, e.g., [18,22,23,25,26,28,29,32,[34][35][36]. As we will see, its implementation results in distinct new spacetime and image features.…”
mentioning
confidence: 95%
“…In the first strategy, black-hole solutions are derived in gravity theories beyond GR [18,[20][21][22][23][24][25][26][27][28][29][30][31][32][33][34][35][36]. This strategy has a e-mail: eichhorn@cp3.sdu.dk b e-mail: a.held@imperial.ac.uk (corresponding author) two main disadvantages: First, it is impossible to cover every conceivable theory beyond GR.…”
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confidence: 99%
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“…On the other hand in the Lorentztian signature the more varying actions contribute less. Hence for the actions neighbouring the infinite one the variation is significant and the neighbouring ones do cancel each other, see 1 . This notion has recently received significant attention in the literature, see [2][3][4] for the cosmological considerations and 1,4 for the black hole ones.…”
Section: Introductionmentioning
confidence: 99%
“…Hence for the actions neighbouring the infinite one the variation is significant and the neighbouring ones do cancel each other, see 1 . This notion has recently received significant attention in the literature, see [2][3][4] for the cosmological considerations and 1,4 for the black hole ones. Since it is expected that the quantum gravity should resolve the black-hole singularity problem, one may ask which of the microscopic actions remain finite for non-singular black holes and conversely interfere destructively for the singular ones.…”
Section: Introductionmentioning
confidence: 99%