Rastall's theory is based on the non-conservation of the energy-momentum tensor. We show that, in this theory, if we introduce a two-fluid model, one component representing vacuum energy whereas the other pressureless matter (e.g. baryons plus cold dark matter), the cosmological scenario is the same as for the \Lambda CDM model, both at background and linear perturbative levels, except for one aspect: now dark energy may cluster. We speculate that this can lead to a possibility of distinguishing the models at the non-linear perturbative level.
@article{arxiv.1112.4141,
title = {Rastall Cosmology and the \Lambda CDM Model},
author = {Carlos E. M. Batista and Mahamadou H. Daouda and Júlio C. Fabris and Oliver F. Piattella and Davi C. Rodrigues},
journal= {arXiv preprint arXiv:1112.4141},
year = {2012}
}
Comments
9 pages, 1 figure. Accepted for publication in Physical Review D