Astronomy and Astrophysics – Astrophysics
Scientific paper
2006-08-18
Phys.Rev.D74:103507,2006
Astronomy and Astrophysics
Astrophysics
15 pages, 6 figures, RevTeX format
Scientific paper
10.1103/PhysRevD.74.103507
We derive a direct general map from the luminosity distance D(z) to the inhomogeneous matter distribution M(r) 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 FRW universe with a cosmological constant. We also discuss how smooth matter distributions can evolve into naked singularities due to shell crossing when the inhomogeneous ``spatial curvature'' E(r) is a function which changes sign.
Chung Daniel J. H.
Enea Romano Antonio
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