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Cosmological observables are used to construct cosmological models. Sincecosmological observations are limited to the light cone, a fixed number ofobservables (even measured to arbitrary accuracy) may not uniquely determine acosmological model without additional assumptions or considerations. Aprescription for constructing a spherically symmetric, inhomogeneouscosmological model that exactly reproduces the luminosity-distance as afunction of redshift and the light-cone mass density as a function of redshiftof a $\Lambda$CDM model is employed to gain insight into how an inhomogeneouscosmological model might mimic dark energy models.

Light-cone observations and cosmological models: implications for inhomogeneous models mimicking dark energy