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Extragalactic Astronomy and Cosmology: An Introduction

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3.9 Population Synthesis<br />

137<br />

Fig. 3.49. a) Evolution of colors between 0 ≤ t ≤ 17 × 10 9 yr<br />

for a stellar population with star-formation rate given by<br />

(3.69), for five different values of the characteristic time-scale<br />

τ (τ =∞ is the limiting case for a constant star-formation<br />

rate) –Galactic center see solid curves. The typical colors for<br />

four different morphological types of galaxies are plotted. For<br />

each τ, the evolution begins at the lower left, i.e., as a blue<br />

population in both color indices. In the case of constant star<br />

formation, the population never becomes redder than Irr’s; to<br />

• A simple model of star-formation history reproduces<br />

the colors of today’s galaxies fairly well.<br />

• (Most of) the stars in elliptical <strong>and</strong> S0 galaxies are<br />

old – the earlier the Hubble type, the older the stellar<br />

population.<br />

• Detailed models of population synthesis provide<br />

information about the star-formation history, <strong>and</strong><br />

predictions by the models can be compared with<br />

observations of galaxies at high redshift (<strong>and</strong> thus<br />

smaller age).<br />

We will frequently refer to results from population<br />

synthesis in the following chapters. For example, we<br />

will use them to interpret the colors of galaxies at<br />

high redshifts <strong>and</strong> the different spatial distributions of<br />

early-type <strong>and</strong> late-type galaxies (see Chap. 6). Also,<br />

we will present a method of estimating the redshift of<br />

galaxies from their broad-b<strong>and</strong> colors (photometric redshifts).<br />

As a special case of this method, we will discuss<br />

the efficient selection of galaxies at very high redshift<br />

(Lyman-break galaxies, LBGs, see Chap. 9). Because<br />

the color <strong>and</strong> luminosity of a galaxy are changing even<br />

achieve redder colors, τ has to be smaller. The dashed line<br />

connects points of t = 10 10 yr on the different curves. Here,<br />

a Salpeter IMF <strong>and</strong> Solar metallicity was assumed. The shift<br />

in color obtained by doubling the metallicity is indicated by<br />

an arrow, as well as that due to an extinction coefficient of<br />

E(B − V ) = 0.1; both effects will make galaxies appear redder.<br />

b) The dependence of colors <strong>and</strong> M/L on the metallicity<br />

of the population<br />

when no star formation is taking place, tracing back<br />

such a passive evolution allows us to distinguish this<br />

passive aging process from episodes of star formation<br />

<strong>and</strong> other processes.<br />

3.9.7 The Spectra of Galaxies<br />

At the end of this section we shall consider the typical<br />

spectra of different galaxy types. They are displayed<br />

for six galaxies of different Hubble types in Fig. 3.50.<br />

To make it easier to compare them, they are all plotted<br />

in a single diagram where the logarithmic flux scale<br />

is arbitrarily normalized (since this normalization does<br />

not affect the shape of the spectra).<br />

It is easy to recognize the general trends in these spectra:<br />

the later the Hubble type, (1) the bluer the overall<br />

spectral distribution, (2) the stronger the emission lines,<br />

(3) the weaker the absorption lines, <strong>and</strong> (4) the smaller<br />

the 4000-Å break in the spectra. From the above discussion,<br />

we would also expect these trends if the Hubble<br />

sequence is considered an ordering of galaxy types

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