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Symmetries and geometry of spacetime: Towards a new paradigm

F. T. O. Cabral, F. S. N. Lobo, D. Rubiera-Garcia

Abstract
In this work the geometrical methods and symmetry principles in gravitation are explored motivating a new perspective into the spacetime paradigm. The effects of post-Riemann spacetime geometries with torsion are briefly studied in applications to fundamental fermionic and bosonic fields, cosmology and gravitational waves. The physical implications and related phenomenological considerations are addressed, and the fundamental ideas related to spacetime physics, motivated by geometrical methods and symmetry principles, are also briefly discussed in the context of the possible routes towards a new spacetime paradigm in gravitation and unified field theories.

Keywords
Riemann-Cartan spacetime; torsion; fermionic systems; gravitational waves

Proceedings of the MG16 Meeting on General Relativity
Remo Ruffini, Gregory Vereshchagin

World Scientific Publishing Co. Pte. Ltd., Page 856
2023 March

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Faculdade de Ciências da Universidade de Lisboa Universidade do Porto Faculdade de Ciências e Tecnologia da Universidade de Coimbra
Fundação para a Ciência e a Tecnologia COMPETE 2020 PORTUGAL 2020 União Europeia