Canonical Quantization of Spherically Symmetric Einstein-Scalar Field Solutions
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866918149121638400 |
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| author | Černý, Jiří |
| author_facet | Černý, Jiří |
| contents | We investigate canonical quantization of a general spherically symmetric spacetimes with a massless scalar-field source and examine the associated constraint algebra. The spacetimes are quantized using Dirac's quantization method for constrained systems, producing a set of Wheeler-DeWitt equations. A general solution for some of these equations, specifically the momentum constraint, is found and discussed. A complete solution to the whole set of equations (namely the Hamiltonian constraint) remains yet to be found, however. A full solution can be recovered for a static version of these spacetimes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_22730 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Canonical Quantization of Spherically Symmetric Einstein-Scalar Field Solutions Černý, Jiří General Relativity and Quantum Cosmology We investigate canonical quantization of a general spherically symmetric spacetimes with a massless scalar-field source and examine the associated constraint algebra. The spacetimes are quantized using Dirac's quantization method for constrained systems, producing a set of Wheeler-DeWitt equations. A general solution for some of these equations, specifically the momentum constraint, is found and discussed. A complete solution to the whole set of equations (namely the Hamiltonian constraint) remains yet to be found, however. A full solution can be recovered for a static version of these spacetimes. |
| title | Canonical Quantization of Spherically Symmetric Einstein-Scalar Field Solutions |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2509.22730 |