The luminosity distance, the equation of state, and the geometry of the universe

被引：166
作者：
Chiba, T [1 ]
Nakamura, T
机构：
[1] Univ Tokyo, Dept Phys, Tokyo 1130033, Japan
[2] Kyoto Univ, Yukawa Inst Theoret Phys, Kyoto 6068502, Japan
来源：
PROGRESS OF THEORETICAL PHYSICS | 1998年 / 100卷 / 05期
关键词：
D O I：
10.1143/PTP.100.1077
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The second derivative of the luminosity distance with respect to the redshift is written in terms of the deceleration parameter q(0). 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 c(s0)(1 + w(x)0) = 0 (c(s0) is the total sound speed of the matter component and w(x0) = p(x0)/rho(x0)).
引用
收藏
页码：1077 / 1082
页数：6
相关论文
共 13 条
[1]   Cosmology with x-matter [J].
Chiba, T ;
Sugiyama, N ;
Nakamura, T .
MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY, 1997, 289 (02) :L5-L9
[2]  
DEKEL A, ASTROPH9611108
[3]   Constraints on cosmological models from Hubble Space Telescope observations of high-z supernovae [J].
Garnavich, PM ;
Kirshner, RP ;
Challis, P ;
Tonry, J ;
Gilliland, RL ;
Smith, RC ;
Clocchiatti, A ;
Diercks, A ;
Filippenko, AV ;
Hamuy, M ;
Hogan, CJ ;
Leibundgut, B ;
Phillips, MM ;
Reiss, D ;
Riess, AG ;
Schmidt, BP ;
Schommer, RA ;
Spyromilio, J ;
Stubbs, C ;
Suntzeff, NB ;
Wells, L .
ASTROPHYSICAL JOURNAL, 1998, 493 (02) :L53-+
[4]  
Hawking S. W., 1973, The Large Scale Structure of Space-Time
[5]   Direct measurement of cosmological parameters from the cosmic deceleration of extragalactic objects [J].
Loeb, A .
ASTROPHYSICAL JOURNAL, 1998, 499 (02) :L111-L114
[6]   THE OBSERVATIONAL CASE FOR A LOW-DENSITY UNIVERSE WITH A NONZERO COSMOLOGICAL CONSTANT [J].
OSTRIKER, JP ;
STEINHARDT, PJ .
NATURE, 1995, 377 (6550) :600-602
[7]   RECONSTRUCTING THE LINEAR POWER SPECTRUM OF COSMOLOGICAL MASS FLUCTUATIONS [J].
PEACOCK, JA ;
DODDS, SJ .
MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY, 1994, 267 (04) :1020-1034
[8]   Discovery of a supernova explosion at half the age of the Universe [J].
Perlmutter, S ;
Aldering, G ;
Della Valle, M ;
Deustua, S ;
Ellis, RS ;
Fabbro, S ;
Fruchter, A ;
Goldhaber, G ;
Groom, DE ;
Hook, IM ;
Kim, AG ;
Kim, MY ;
Knop, RA ;
Lidman, C ;
McMahon, RG ;
Nugent, P ;
Pain, R ;
Panagia, N ;
Pennypacker, CR ;
Ruiz-Lapuente, P ;
Schaefer, B ;
Walton, N .
NATURE, 1998, 391 (6662) :51-54
[9]  
PERLMUTTER S, COMMUNICATION
[10]  
RIESS AG, ASTROPH9805201
12