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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2405.03719 |
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| _version_ | 1866929336779538432 |
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| author | Wiesendanger, C |
| author_facet | Wiesendanger, C |
| contents | The existence of the Schwarzschild solution is demonstrated within a new SO(1,3) gauge field theory whose fundamental gauge field B is of dimension one allowing for the renormalizability of the full quantum theory. On the other hand the classically dominant term of the gauge field action can be expressed in terms of a naturally emerging Vierbein of dimension zero. In fact this action term is the same functional of the emerging Vierbein e[B] as is the Einstein-Hilbert action of the Vierbein in General Relativity (GR), albeit with e[B] subject to a constraint. To solve the Einstein equations a spherically symmetric Ansatz for e[B] respecting the constraint is determined and transformed into the standard metric used to calculate the Schwarzschild solution. This allows to prove the latter's existence making the present theory a perfectly viable theory of gravitation equivalent to GR at the classical level. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_03719 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Schwarzschild Solution within a new renormalizable SO(1,3) Gauge Field Theory of Gravitation Wiesendanger, C General Relativity and Quantum Cosmology High Energy Physics - Theory The existence of the Schwarzschild solution is demonstrated within a new SO(1,3) gauge field theory whose fundamental gauge field B is of dimension one allowing for the renormalizability of the full quantum theory. On the other hand the classically dominant term of the gauge field action can be expressed in terms of a naturally emerging Vierbein of dimension zero. In fact this action term is the same functional of the emerging Vierbein e[B] as is the Einstein-Hilbert action of the Vierbein in General Relativity (GR), albeit with e[B] subject to a constraint. To solve the Einstein equations a spherically symmetric Ansatz for e[B] respecting the constraint is determined and transformed into the standard metric used to calculate the Schwarzschild solution. This allows to prove the latter's existence making the present theory a perfectly viable theory of gravitation equivalent to GR at the classical level. |
| title | Schwarzschild Solution within a new renormalizable SO(1,3) Gauge Field Theory of Gravitation |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2405.03719 |