From freely falling frames to the Lorentz gauge-symmetry group and a Hamiltonian composite theory of gravitation
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arXiv
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866911576133468160 |
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| author | Öttinger, Hans Christian |
| author_facet | Öttinger, Hans Christian |
| contents | The concept of freely falling frames suggests that gravity exhibits a local Lorentz gauge symmetry and requires a background Minkowski reference frame. The gauge vector fields of a Yang-Mills-type theory can be constructed from the transformations to these local freely falling frames, thereby leading to a composite theory of gravity. We propose coordinate conditions under which an exact black-hole solution can be obtained. Our analysis of planar gravitational waves reveals that, despite the large symmetry group, composite gravity possesses only four physical degrees of freedom. We elaborate a Hamiltonian formulation of composite gravity, derive the full set of constraints for the nonlinear theory, and outline the pathway toward its quantization. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_07008 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | From freely falling frames to the Lorentz gauge-symmetry group and a Hamiltonian composite theory of gravitation Öttinger, Hans Christian General Relativity and Quantum Cosmology Mathematical Physics The concept of freely falling frames suggests that gravity exhibits a local Lorentz gauge symmetry and requires a background Minkowski reference frame. The gauge vector fields of a Yang-Mills-type theory can be constructed from the transformations to these local freely falling frames, thereby leading to a composite theory of gravity. We propose coordinate conditions under which an exact black-hole solution can be obtained. Our analysis of planar gravitational waves reveals that, despite the large symmetry group, composite gravity possesses only four physical degrees of freedom. We elaborate a Hamiltonian formulation of composite gravity, derive the full set of constraints for the nonlinear theory, and outline the pathway toward its quantization. |
| title | From freely falling frames to the Lorentz gauge-symmetry group and a Hamiltonian composite theory of gravitation |
| topic | General Relativity and Quantum Cosmology Mathematical Physics |
| url | https://arxiv.org/abs/2604.07008 |