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The Luminosity Distance, the Equation of State, and the Geometry of the Universe

1998/08/31 by T. Chiba, Takeshi Chiba, Takashi Nakamura +1 · 3 citations
Physics and Astronomy · #Advanced Mathematical Theories and Applications #Cosmology and Gravitation Theories #Relativity and Gravitational Theory #astro-ph

paper · pdf · doi:10.1143/ptp.100.1077

published as Prog.Theor.Phys. 100 (1998) 1077-1082 · 5 pages + 1 figure, one reference added, Prog.Theor.Phys. in press

openalex publication_date 1998/11/01 · arxiv created 1998/11/02 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

The second derivative of the luminosity distance with respect to the redshift is written in terms of the deceleration parameter q0. We point out that the third derivative contains the information regarding the sound speed of cosmic matter as well as the curvature of the universe. We restrict physically possible parameter ranges of the coefficients. It is found that there is a relation between the coefficients in a flat universe model with matter such that cs0(1+wx0)=0 (cs0 is the total sound speed of the matter component and wx0=px0/ρx0).

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