Dark Stars are the very first phase of stellar evolution in the history ofthe universe: the first stars to form (typically at redshifts $z \sim 10-50$)are powered by heating from dark matter (DM) annihilation instead of fusion (ifthe DM is made of particles which are their own antiparticles). We findequilibrium polytropic configurations for these stars; we start from the timeDM heating becomes important ($M \sim 1-10 M_\odot$) and build up the star viaaccretion up to 1000 M$_\odot$. The dark stars, with an assumed particle massof 100 GeV, are found to have luminosities of a few times $10^6$ L$_\odot$,surface temperatures of 4000--10,000 K, radii $\sim 10^{14}$ cm, lifetimes ofat least $ 0.5$ Myr, and are predicted to show lines of atomic and molecularhydrogen. Dark stars look quite different from standard metal-free starswithout DM heating: they are far more massive (e.g. $\sim 800 M_\odot$ for 100GeV WIMPs), cooler, and larger, and can be distinguished in futureobservations, possibly even by JWST or TMT.
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