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Baryogenesis in Conformally Flat Spacetimes

2025/04/24 by Felix Finster, Finster, Felix, Marco van den Beld-Serrano +1
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Mathematical Physics (math-ph) #Pulsars and Gravitational Waves Research

paper · pdf · doi:10.48550/arxiv.2504.17434

openalex publication_date 2025/04/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Based on a baryogenesis mechanism originating from the theory of causal fermion systems, we analyze its main geometric and analytic features in conformally flat spacetimes. An explicit formula is derived for the rate of baryogenesis in these spacetimes, which depends on the mass m of the particles, the conformal factor Ω and a future directed timelike vector field u (dubbed the regularizing vector field). Our analysis covers Friedmann-Lemaître-Robertson-Walker, Milne and Milne-like spacetimes. It sets the ground for concrete, quantitative predictions for specific cosmological spacetimes.

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