# Oscillating and static universes from a single barotropic fluid

## Abstract

We consider cosmological solutions to general relativity with a single barotropic fluid, where the pressure is a general function of the density, p=f(ρ). We derive conditions for static and oscillating solutions and provide examples, extending earlier work to these simpler and more general single-fluid cosmologies. Generically we expect such solutions to suffer from instabilities, through effects such as quantum fluctuations or tunneling to zero size. We also find a classical instability (“no-go” theorem) for oscillating solutions of a single barotropic perfect fluid due to a necessarily negative squared sound speed.

- Authors:

- Physics & Astronomy Department, Vanderbilt University, PMB 401807,2301 Vanderbilt Place, Nashville, TN, 37235-1807 United States (United States)

- Publication Date:

- Sponsoring Org.:
- SCOAP3, CERN, Geneva (Switzerland)

- OSTI Identifier:
- 22458410

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Journal of Cosmology and Astroparticle Physics; Journal Volume: 2015; Journal Issue: 12; Other Information: PUBLISHER-ID: JCAP12(2015)015; OAI: oai:repo.scoap3.org:13001; Article funded by SCOAP3. Content from this work may be used under the terms of the Creative Commons Attribution 3.0 License. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; FLUCTUATIONS; GENERAL RELATIVITY THEORY; IDEAL FLOW; MATHEMATICAL SOLUTIONS; QUANTUM COSMOLOGY; SOUND WAVES; TUNNEL EFFECT; UNIVERSE

### Citation Formats

```
Kehayias, John, and Scherrer, Robert J.
```*Oscillating and static universes from a single barotropic fluid*. United States: N. p., 2015.
Web. doi:10.1088/1475-7516/2015/12/015.

```
Kehayias, John, & Scherrer, Robert J.
```*Oscillating and static universes from a single barotropic fluid*. United States. doi:10.1088/1475-7516/2015/12/015.

```
Kehayias, John, and Scherrer, Robert J. Wed .
"Oscillating and static universes from a single barotropic fluid". United States.
doi:10.1088/1475-7516/2015/12/015.
```

```
@article{osti_22458410,
```

title = {Oscillating and static universes from a single barotropic fluid},

author = {Kehayias, John and Scherrer, Robert J.},

abstractNote = {We consider cosmological solutions to general relativity with a single barotropic fluid, where the pressure is a general function of the density, p=f(ρ). We derive conditions for static and oscillating solutions and provide examples, extending earlier work to these simpler and more general single-fluid cosmologies. Generically we expect such solutions to suffer from instabilities, through effects such as quantum fluctuations or tunneling to zero size. We also find a classical instability (“no-go” theorem) for oscillating solutions of a single barotropic perfect fluid due to a necessarily negative squared sound speed.},

doi = {10.1088/1475-7516/2015/12/015},

journal = {Journal of Cosmology and Astroparticle Physics},

number = 12,

volume = 2015,

place = {United States},

year = {Wed Dec 09 00:00:00 EST 2015},

month = {Wed Dec 09 00:00:00 EST 2015}

}

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