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The dimming of Type Ia supernovae could be the result of Hubble-scaleinhomogeneity in the matter and spatial curvature, rather than signaling thepresence of a dark energy component. A key challenge for such models is to fitthe detailed spectrum of the cosmic microwave background (CMB). We present adetailed discussion of the small-scale CMB in an inhomogeneous universe,focusing on spherically symmetric `void' models. We allow for the dynamicaleffects of radiation while analyzing the problem, in contrast to other workwhich inadvertently fine tunes its spatial profile. This is a surprisinglyimportant effect and we reach substantially different conclusions. Models whichare open at CMB distances fit the CMB power spectrum without fine tuning; thesemodels also fit the supernovae and local Hubble rate data which favours a highexpansion rate. Asymptotically flat models may fit the CMB, but require someextra assumptions. We argue that a full treatment of the radiation in thesemodels is necessary if we are to understand the correct constraints from theCMB, as well as other observations which rely on it, such as spectraldistortions of the black body spectrum, the kinematic Sunyaev-Zeldovich effector the Baryon Acoustic Oscillations.

The Cosmic Microwave Background in an Inhomogeneous Universe - why void models of dark energy are only weakly constrained by the CMB