# The existence of Goedel, Einstein, and de Sitter universes

## Abstract

We determine the general conditions for the existence of Goedel, Einstein static, and de Sitter universes in gravity theories derived from a Lagrangian that is an arbitrary function of the scalar curvature and Ricci and Riemann curvature invariants. Explicit expressions for the solutions are found in terms of the parameters defining the Lagrangian. We also determine the conditions on the Lagrangian of the theory under which time-travel is allowed in the Goedel universes.

- Authors:

- DAMTP, Centre for Mathematical Sciences, University of Cambridge, Wilberforce Road, Cambridge, CB3 0WA (United Kingdom)

- Publication Date:

- OSTI Identifier:
- 20774495

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physical Review. D, Particles Fields; Journal Volume: 72; Journal Issue: 12; Other Information: DOI: 10.1103/PhysRevD.72.123003; (c) 2005 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; COSMOLOGY; DE SITTER GROUP; GRAVITATION; LAGRANGIAN FUNCTION; MATHEMATICAL SOLUTIONS; SCALARS; SPACE-TIME; UNIVERSE

### Citation Formats

```
Clifton, Timothy, and Barrow, John D.
```*The existence of Goedel, Einstein, and de Sitter universes*. United States: N. p., 2005.
Web. doi:10.1103/PhysRevD.72.123003.

```
Clifton, Timothy, & Barrow, John D.
```*The existence of Goedel, Einstein, and de Sitter universes*. United States. doi:10.1103/PhysRevD.72.123003.

```
Clifton, Timothy, and Barrow, John D. Thu .
"The existence of Goedel, Einstein, and de Sitter universes". United States.
doi:10.1103/PhysRevD.72.123003.
```

```
@article{osti_20774495,
```

title = {The existence of Goedel, Einstein, and de Sitter universes},

author = {Clifton, Timothy and Barrow, John D.},

abstractNote = {We determine the general conditions for the existence of Goedel, Einstein static, and de Sitter universes in gravity theories derived from a Lagrangian that is an arbitrary function of the scalar curvature and Ricci and Riemann curvature invariants. Explicit expressions for the solutions are found in terms of the parameters defining the Lagrangian. We also determine the conditions on the Lagrangian of the theory under which time-travel is allowed in the Goedel universes.},

doi = {10.1103/PhysRevD.72.123003},

journal = {Physical Review. D, Particles Fields},

number = 12,

volume = 72,

place = {United States},

year = {Thu Dec 15 00:00:00 EST 2005},

month = {Thu Dec 15 00:00:00 EST 2005}

}

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