Geometry of almost-product Lorentzian manifolds and relativistic observer

2013/02/07 by Andrzej Borowiec, A. Borowiec, Aneta Wojnar +2
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Geometric Analysis and Curvature Flows #Mathematical Physics (math-ph) #Relativity and Gravitational Theory #gr-qc #math-ph #math.DG #math.MP

paper · pdf · doi:10.48550/arxiv.1302.1846

13 pages, 2 tables, Talk during the conference Barcelona Postgrad Encounters on Fundamental Physics, October 2012

openalex publication_date 2013/02/07 · arxiv created 2013/06/27 · arxiv updated 2014/12/04 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

The notion of relativistic observer is confronted with Naveira's classification of (pseudo-)Riemannian almost-product structures on space-time manifolds. Some physical properties and their geometrical counterparts are shortly discussed.

Citations

• Einstein's Special Relativity: The Hyperbolic Geometric Viewpoint
• The Thermodynamics of Irreversible Processes. III. Relativistic Theory of the Simple Fluid

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• Observer dependent geometries
• Non-lorentzian spacetimes
• On the isometry group and the geometric structure of compact stationary Lorentzian manifolds
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