\relax \@writefile{toc}{\contentsline {subsection}{\numberline {21.1}Solutions of the Friedmann equations}{160}} \@writefile{lof}{\contentsline {figure}{\numberline {1}{\ignorespaces Schematic evolution of the scale factor in closed, open and Einstein de-Sitter universes.}}{162}} \@writefile{toc}{\contentsline {subsection}{\numberline {21.2}The cosmological redshift}{163}} \@writefile{toc}{\contentsline {subsection}{\numberline {21.3}The density parameter and dark matter}{164}} \@writefile{toc}{\contentsline {subsection}{\numberline {21.4}Einstein's static universe}{165}} \@writefile{toc}{\contentsline {subsection}{\numberline {21.5}The age of the Universe}{166}} \@writefile{toc}{\contentsline {subsection}{\numberline {21.6}Distances in FRW cosmologies}{168}} \@writefile{toc}{\contentsline {subsubsection}{\numberline {21.6.1} Luminosity distance}{168}} \@writefile{lof}{\contentsline {figure}{\numberline {2}{\ignorespaces }}{168}} \@writefile{toc}{\contentsline {subsubsection}{\numberline {21.6.2}Angular diameter distance}{169}} \@writefile{lof}{\contentsline {figure}{\numberline {3}{\ignorespaces }}{170}} \@writefile{toc}{\contentsline {subsubsection}{\numberline {21.6.3}Relationship of coordinate distance to redshift}{170}} \@writefile{lof}{\contentsline {figure}{\numberline {4}{\ignorespaces The luminosity distance as a function of redshift for FRW models with various values of the density parameter $\Omega _0$. (The cosmological constant is assumed to be zero.)}}{171}} \@writefile{lof}{\contentsline {figure}{\numberline {5}{\ignorespaces The angular distance as a function of redshift for FRW models with various values of the density parameter $\Omega _0$. (The cosmological constant is assumed to be zero.)}}{172}}