Título:
Loop quantum gravity of a spherically symmetric scalar field coupled to gravity with a clock
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Autor:
Gambini, Rodolfo H.
Pullin, Jorge
Pullin, Jorge
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Tipo de documento:
Preprint
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Palabras clave:
Spherical symmetry
Loop quantum gravity
Gravity coupled to a clock
General Relativity and Quantum Cosmology
Loop quantum gravity
Gravity coupled to a clock
General Relativity and Quantum Cosmology
Descriptores:
Año de publicación:
2023
Contenido:
Resumen:
The inclusion of matter fields in spherically symmetric loop quantum gravity has proved problematic at the level of implementing the constraint algebra including the Hamiltonian constraint. Here we consider the system with the introduction of a clock. Using the abelianizaton technique we introduced in previous papers in the case of gravity coupled to matter, the system can be gauge fixed and rewritten in terms of a restricted set of dynamical variables that satisfy simple Poisson bracket relations. This creates a true Hamiltonian and therefore one bypasses the issue of the constraint algebra. We show how loop quantum gravity techniques may be applied for the vacuum case and show that the Hamiltonian system reproduces previous results for the physical space of states and the observables of a Schwarzchild black hole.
Descripción:
Publicado también en: Classical en Quantom Gravity, 2023, 40(8): 085016. DOI: 10.1088/1361-6382/acc510
Versión permitida preprint.
Versión permitida preprint.
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Editorial:
arXiv
EN:
General Relativity and Quantum Cosmology, arXiv:2303.09392
Financiadores:
ANII: FCE_1_2019_1_155865
Citación:
Gambini, R y Pullin, J. "Loop quantum gravity of a spherically symmetric scalar field coupled to gravity with a clock" [Preprint]. Publicado en: General Relativity and Quantum Cosmology, arXiv:2303.09392. DOI: 10.48550/arXiv.2303.09392.
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Licencia Creative Commons Atribución (CC - By 4.0)
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| Ficheros | Descripción | Tamaño | Formato | ||
|---|---|---|---|---|---|
| 2303.09392v1.pdf | Preprint | 162.23 KB | Adobe PDF |