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Large-scale homogeneity vs. small- scale inhomogeneity: testing ...

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• Cosmological principle: Universe is<br />

homogeneous and isotropic<br />

<strong>Large</strong>-<strong>scale</strong> Cosmic Homogeneity<br />

− Homogeneous: different regions of the<br />

Universe have the same mean density<br />

− Isotropic: looks the same in all<br />

directions<br />

• Allows use of Friedmann-Robertson-<br />

Walker (FRW) spacetime metric<br />

• Need FRW to convert redshifts to<br />

distances, via Friedmann eqn:<br />

2<br />

H<br />

2<br />

H0 = ! Ra"4 + ! Ma "3 + ! ka "2 + ! #<br />

01/18/2013<br />

Morag I. Scrimgeour<br />

Springel et al. (2005)<br />

4

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