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arXiv · 2409.07364

On the Weyl Tensor for a Curved Spacetime Endowed with a Torsionful Affinity

J. G. Cardoso
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Abstract

We transcribe into the framework of the torsionful version of the {\epsilon}-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.

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J. G. Cardoso. 2024-09-11. On the Weyl Tensor for a Curved Spacetime Endowed with a Torsionful Affinity. https://doi.org/10.1016/j.aop.2025.169926

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