Impediment to Torsion from Spectral Geometry
Modifications of standard general relativity that bring torsion into the game have a long-standing history. However, no convincing arguments exist for or against its presence in physically acceptable gravity models. In this Letter, we provide an argument based on spectral geometry (using methods of pseudodifferential calculus) that suggests that the torsion shall be excluded from the consideration. We demonstrate that there is no well-defined functional extending to the torsion-full case of the spectral formulation of the Einstein tensor.
Authors
- Ludwik Dąbrowski (ORCID: https://orcid.org/0000-0001-7160-4555)
- Andrzej Sitarz (ORCID: https://orcid.org/0000-0003-1612-3761)
- Arkadiusz Bochniak (ORCID: https://orcid.org/0000-0001-7856-0452)
- Paweł Zalecki (ORCID: https://orcid.org/0000-0002-6401-1273)
Institutions
- Jagiellonian University (PL)
- Scuola Internazionale Superiore di Studi Avanzati (IT)
- Max Planck Institute of Quantum Optics (DE)
- Munich Center for Quantum Science and Technology (DE)
Publication Details
- Journal
- Physical Review Letters
- Published
- 2025-05-20
- DOI
- https://doi.org/10.1103/drdl-l2mp
- Citations
- 1
- Primary Topic
- Black Holes and Theoretical Physics
- Type
- article
- Field-Weighted Citation Impact
- 1.87
Funders
- Alexander von Humboldt-Stiftung
- Istituto Nazionale di Alta Matematica "Francesco Severi"
- Deutsche Forschungsgemeinschaft
- Narodowe Centrum Nauki
- Uniwersytet Warszawski
- Gruppo Nazionale per la Fisica Matematica