Abstract
We derive a direct general map from the luminosity distance to the inhomogeneous matter distribution in the Lemaitre-Tolman-Bondi (LTB) cosmology and compute several examples. One of our examples explicitly demonstrates that it is possible to tune the LTB cosmological solution to approximately reproduce the luminosity distance curve of a flat Friedmann-Robertson-Walker universe with a cosmological constant. We also discuss how smooth matter distributions can evolve into naked singularities due to shell crossing when the inhomogeneous “curvature” is a function which changes sign.
- Received 26 August 2006
DOI:https://doi.org/10.1103/PhysRevD.74.103507
©2006 American Physical Society