Work

Impediment to Torsion from Spectral Geometry

Year: 2025

Type: article

Abstract: 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.

Source: Physical Review Letters

DOI: 10.1103/drdl-l2mp

Authors: Arkadiusz Bochniak, Ludwik Dąbrowski, Andrzej Sitarz, Paweł Zalecki

Institutions: Max Planck Institute of Quantum Optics, Munich Center for Quantum Science and Technology, Scuola Internazionale Superiore di Studi Avanzati, Jagiellonian University

Language: English

Topic: Relativity and Gravitational Theory

Subfield: Astronomy and Astrophysics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,750