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arXiv · 2405.03719

Schwarzschild Solution within a new renormalizable SO(1,3) Gauge Field Theory of Gravitation

C Wiesendanger
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Abstract

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.

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C Wiesendanger. 2024-05-05. Schwarzschild Solution within a new renormalizable SO(1,3) Gauge Field Theory of Gravitation. https://arxiv.org/abs/2405.03719

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