"Swiss-Cheese" Inhomogeneous Cosmology & the Dark Energy Problem
Tirthabir Biswas, Alessio Notari
Abstract
We study an exact swiss-cheese model of the Universe, where inhomogeneous LTB patches are embedded in a flat FLRW background, in order to see how observations of distant sources are affected. We find negligible integrated effect, suppressed by (L/RH)3 (where L is the size of one patch, and RH is the Hubble radius), both perturbatively and non-perturbatively. We disentangle this effect from the Doppler term (which is much larger and has been used recently BMN to try to fit the SN curve without dark energy) by making contact with cosmological perturbation theory.
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