Loop quantum gravity with optimal control path integral, and application to black hole tunneling
| Autor: | Quentin Ansel |
|---|---|
| Přispěvatelé: | Univers, Transport, Interfaces, Nanostructures, Atmosphère et environnement, Molécules (UMR 6213) (UTINAM), Institut national des sciences de l'Univers (INSU - CNRS)-Centre National de la Recherche Scientifique (CNRS)-Université de Franche-Comté (UFC), Université Bourgogne Franche-Comté [COMUE] (UBFC)-Université Bourgogne Franche-Comté [COMUE] (UBFC) |
| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
Quantum Physics
black hole: tunneling Physics and Astronomy (miscellaneous) variational toy model FOS: Physical sciences General Relativity and Quantum Cosmology (gr-qc) General Relativity and Quantum Cosmology [PHYS.PHYS.PHYS-GEN-PH]Physics [physics]/Physics [physics]/General Physics [physics.gen-ph] Hamiltonian Lagrangian formalism numerical methods general relativity [PHYS.GRQC]Physics [physics]/General Relativity and Quantum Cosmology [gr-qc] Einstein quantization: path integral Einstein-Hilbert gravitation: action Einstein equation control system Quantum Physics (quant-ph) quantum gravity: loop space |
| Popis: | This paper presents a novel path integral formalism for Einstein's theory of gravitation from the viewpoint of optimal control theory. Despite its close relation to the well-known variational principles of physicists, optimal control turns out to be more general. Within this context, a Lagrangian different from the Einstein-Hilbert Lagrangian is defined. Einstein field equations are recovered exactly with variations of the new action functional. The quantum theory is obtained using Ashtekar variables and the loop scalar product. By means of example, the tunneling process of a black hole into another black hole or into a white hole is investigated with a toy model. Comment: 25 pages, 5 figures, source codes in supplementary materials |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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