Mimicking the cosmological constant for more than one observable with large scale inhomogeneities

Antonio Enea Romano
Phys. Rev. D 82, 123528 – Published 23 December 2010

Abstract

Assuming the definition of the inversion problem (IP) as the exact matching of the terms in the low redshift expansion of cosmological observables calculated for different cosmological models, we solve the IP for DL(z) and the redshift spherical shell mass density mn(z) for a central observer in a Lemaitre-Tolman-Bondi (LTB) space without cosmological constant and a generic ΛCDM model. We show that the solution of the IP is unique, corresponds to a matter density profile which is not smooth at the center, and that the same conclusions can be reached expanding self-consistently to any order all the relevant quantities. Contrary to the case of a single observable inversion problem, it is impossible to solve the IP (LTB vs ΛCDM) for both mn(z) and DL(z) while setting one of the two functions k(r) or tb(r) to zero, even allowing nonsmooth matter profiles. Our conclusions are general, since they are exclusively based on comparing directly physical observables in redshift space, and do not depend on any special ansatz or restriction for the functions defining a LTB model.

  • Received 2 August 2010

DOI:https://doi.org/10.1103/PhysRevD.82.123528

© 2010 The American Physical Society

Authors & Affiliations

Antonio Enea Romano

  • Leung Center for Cosmology and Particle Astrophysics, National Taiwan University, Taipei 10617, Taiwan, Republic of China and Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto 606-8502, Japan

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Issue

Vol. 82, Iss. 12 — 15 December 2010

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