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arXiv · 2509.22730

Canonical Quantization of Spherically Symmetric Einstein-Scalar Field Solutions

Jiří Černý
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Abstract

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.

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Jiří Černý. 2025-09-25. Canonical Quantization of Spherically Symmetric Einstein-Scalar Field Solutions. https://arxiv.org/abs/2509.22730

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