Journal Article

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

Takeshi Chiba and Takashi Nakamura

in Progress of Theoretical Physics

Published on behalf of The Physical Society of Japan

Volume 100, issue 5, pages 1077-1082
Published in print November 1998 | ISSN: 0033-068X
Published online November 1998 | e-ISSN: 1347-4081 | DOI: http://dx.doi.org/10.1143/PTP.100.1077
The Luminosity Distance, the Equation of State, and the Geometry of the Universe

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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=px0x0).

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