# The $m–z$ relation for Type Ia supernovae, locally inhomogeneous cosmological models, and the nature of dark matter

@article{Helbig2015TheR, title={The \$m–z\$ relation for Type Ia supernovae, locally inhomogeneous cosmological models, and the nature of dark matter}, author={Phillip Helbig}, journal={Monthly Notices of the Royal Astronomical Society}, year={2015}, volume={451}, pages={2097-2107} }

The $m$-$z$ relation for type Ia supernovae is one of the key pieces of evidence supporting the cosmological `concordance model' with $\lambda_0 \approx 0.7$ and $\Omega_0 \approx 0.3$. However, it is well known that the $m$-$z$ relation depends not only on $\lambda_0$ and $\Omega_0$ (with $H_0$ as a scale factor) but also on the density of matter along the line of sight, which is not necessarily the same as the large-scale density. I investigate to what extent the measurement of $\lambda_0…

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