On the Weyl Tensor for a Curved Spacetime Endowed with a Torsionful Affinity
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866916569294045184 |
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| author | Cardoso, J. G. |
| author_facet | Cardoso, J. G. |
| contents | We transcribe into the framework of the torsionful version of the ε-formalism of Infeld and van der Waerden the world definition of the Weyl tensor for a curved spacetime that occurs in the realm of Einstein-Cartan's theory. The resulting expression shows us that it is not possible to attain any general condition for conformal flatness in such a spacetime even if wave functions for gravitons are eventually taken to vanish identically. A short discussion on the situation concerning the limiting case of general relativity is presented thereafter. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_07364 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the Weyl Tensor for a Curved Spacetime Endowed with a Torsionful Affinity Cardoso, J. G. General Relativity and Quantum Cosmology We transcribe into the framework of the torsionful version of the ε-formalism of Infeld and van der Waerden the world definition of the Weyl tensor for a curved spacetime that occurs in the realm of Einstein-Cartan's theory. The resulting expression shows us that it is not possible to attain any general condition for conformal flatness in such a spacetime even if wave functions for gravitons are eventually taken to vanish identically. A short discussion on the situation concerning the limiting case of general relativity is presented thereafter. |
| title | On the Weyl Tensor for a Curved Spacetime Endowed with a Torsionful Affinity |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2409.07364 |