# Rastall’s cosmology and its observational constraints

## Abstract

The Rastall’s theory is a modification of General Relativity touching one of the cornestone of gravity theory: the conservation laws. In Rastall’s theory, the energy-momentum tensor is not conserved anymore, depending now on the gradient of the Ricci curvature. In this sense, this theory can be seen as a classical implementation of quantum effects in a curved background space-time. We exploit this structure in order to reproduce some results of an effective theory of quantum loop cosmology. Later, we propose a model for the dark sector of the universe. In this case, the corresponding ΛCDM model appears as the only model consistent with observational data.

- Authors:

- Departamento de Física - Universidade Federal do Espirito Santo (Brazil)
- Université de Niamey (Niger)

- Publication Date:

- OSTI Identifier:
- 22391032

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: AIP Conference Proceedings; Journal Volume: 1647; Journal Issue: 1; Conference: Conference on Cosmology and Gravitation in the Southern Cone, Valparaiso (Chile), 27-31 May 2013; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 79 ASTROPHYSICS, COSMOLOGY AND ASTRONOMY; CONSERVATION LAWS; COSMOLOGICAL CONSTANT; COSMOLOGICAL MODELS; COSMOLOGY; DIAGRAMS; ENERGY-MOMENTUM TENSOR; GENERAL RELATIVITY THEORY; GRAVITATION; LIMITING VALUES; LOOP QUANTUM GRAVITY; MODIFICATIONS; SPACE-TIME; UNIVERSE

### Citation Formats

```
Fabris, Júulio C., Piattella, Oliver F., Rodrigues, Davi C., and Daouda, Mahamadou H.
```*Rastall’s cosmology and its observational constraints*. United States: N. p., 2015.
Web. doi:10.1063/1.4913336.

```
Fabris, Júulio C., Piattella, Oliver F., Rodrigues, Davi C., & Daouda, Mahamadou H.
```*Rastall’s cosmology and its observational constraints*. United States. doi:10.1063/1.4913336.

```
Fabris, Júulio C., Piattella, Oliver F., Rodrigues, Davi C., and Daouda, Mahamadou H. Thu .
"Rastall’s cosmology and its observational constraints". United States.
doi:10.1063/1.4913336.
```

```
@article{osti_22391032,
```

title = {Rastall’s cosmology and its observational constraints},

author = {Fabris, Júulio C. and Piattella, Oliver F. and Rodrigues, Davi C. and Daouda, Mahamadou H.},

abstractNote = {The Rastall’s theory is a modification of General Relativity touching one of the cornestone of gravity theory: the conservation laws. In Rastall’s theory, the energy-momentum tensor is not conserved anymore, depending now on the gradient of the Ricci curvature. In this sense, this theory can be seen as a classical implementation of quantum effects in a curved background space-time. We exploit this structure in order to reproduce some results of an effective theory of quantum loop cosmology. Later, we propose a model for the dark sector of the universe. In this case, the corresponding ΛCDM model appears as the only model consistent with observational data.},

doi = {10.1063/1.4913336},

journal = {AIP Conference Proceedings},

number = 1,

volume = 1647,

place = {United States},

year = {Thu Mar 26 00:00:00 EDT 2015},

month = {Thu Mar 26 00:00:00 EDT 2015}

}

DOI: 10.1063/1.4913336

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