# Eddington-inspired Born-Infeld gravity: nuclear physics constraints and the validity of the continuous fluid approximation

## Abstract

In this paper we investigate the classical non-relativistic limit of the Eddington-inspired Born-Infeld theory of gravity. We show that strong bounds on the value of the only additional parameter of the theory κ, with respect to general relativity, may be obtained by requiring that gravity plays a subdominant role compared to electromagnetic interactions inside atomic nuclei. We also discuss the validity of the continuous fluid approximation used in this and other astrophysical and cosmological studies. We argue that although the continuous fluid approximation is expected to be valid in the case of sufficiently smooth density distributions, its use should eventually be validated at a quantum level.

- Authors:

- Centro de Astrofísica da Universidade do Porto, Rua das Estrelas, 4150-762 Porto (Portugal)

- Publication Date:

- OSTI Identifier:
- 22279739

- Resource Type:
- Journal Article

- Journal Name:
- Journal of Cosmology and Astroparticle Physics

- Additional Journal Information:
- Journal Volume: 2012; Journal Issue: 11; Other Information: Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1475-7516

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 79 ASTROPHYSICS, COSMOLOGY AND ASTRONOMY; APPROXIMATIONS; ASTROPHYSICS; BORN-INFELD THEORY; COMPARATIVE EVALUATIONS; COSMIC NUCLEI; COSMOLOGY; DENSITY; ELECTROMAGNETIC INTERACTIONS; GENERAL RELATIVITY THEORY; GRAVITATION; RELATIVISTIC RANGE

### Citation Formats

```
Avelino, P.P., E-mail: ppavelin@fc.up.pt.
```*Eddington-inspired Born-Infeld gravity: nuclear physics constraints and the validity of the continuous fluid approximation*. United States: N. p., 2012.
Web. doi:10.1088/1475-7516/2012/11/022.

```
Avelino, P.P., E-mail: ppavelin@fc.up.pt.
```*Eddington-inspired Born-Infeld gravity: nuclear physics constraints and the validity of the continuous fluid approximation*. United States. doi:10.1088/1475-7516/2012/11/022.

```
Avelino, P.P., E-mail: ppavelin@fc.up.pt. Thu .
"Eddington-inspired Born-Infeld gravity: nuclear physics constraints and the validity of the continuous fluid approximation". United States. doi:10.1088/1475-7516/2012/11/022.
```

```
@article{osti_22279739,
```

title = {Eddington-inspired Born-Infeld gravity: nuclear physics constraints and the validity of the continuous fluid approximation},

author = {Avelino, P.P., E-mail: ppavelin@fc.up.pt},

abstractNote = {In this paper we investigate the classical non-relativistic limit of the Eddington-inspired Born-Infeld theory of gravity. We show that strong bounds on the value of the only additional parameter of the theory κ, with respect to general relativity, may be obtained by requiring that gravity plays a subdominant role compared to electromagnetic interactions inside atomic nuclei. We also discuss the validity of the continuous fluid approximation used in this and other astrophysical and cosmological studies. We argue that although the continuous fluid approximation is expected to be valid in the case of sufficiently smooth density distributions, its use should eventually be validated at a quantum level.},

doi = {10.1088/1475-7516/2012/11/022},

journal = {Journal of Cosmology and Astroparticle Physics},

issn = {1475-7516},

number = 11,

volume = 2012,

place = {United States},

year = {2012},

month = {11}

}

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