ΛCDM and Power-Law Expansion in Lyra's Geometry

2013/03/10 by Hoavo Hova, Hova, Hoavo
Mathematics · Physics and Astronomy · #Advanced Differential Equations and Dynamical Systems #Advanced Topics in Algebra #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #Galaxies: Formation, Evolution, Phenomena #General Relativity and Quantum Cosmology (gr-qc) #gr-qc

paper · pdf · doi:10.48550/arxiv.1303.2336

11 pages, references added

openalex publication_date 2013/03/10 · arxiv created 2013/05/07 · arxiv updated 2013/05/08 · openalex created_date 2024/04/10 · openalex updated_date 2026/07/28

Abstract

We establish in a cosmological model based on Lyra's geometry a relationship between a displacement vector field ϕ_μ , the Hubble parameter and the matter energy density ρ_m (with a constant equation of state 0 ≤ ω_m < 1) via an arbitrary function α(t). For a pressureless matter ( ω_m=0 ) the effective equation of state ω_eff is completely determined by α(t) . We subsequently investigate and find exact solutions in models yielding the ΛCDM and a power-law expansion.

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