# Relativistic hydrodynamics of cosmological sheets

## Abstract

We have extended previous numerical calculations of Newtonian cosmological sheets to include self-consistent interactions with the background metric by solving the complete Einstein field equations together with the relativistic perfect fluid hydrodynamics equations. The initial data are parametrized and constructed using the gauge invariant perturbation formalism to specify the free conformal variables for the constraints. Numerical evolutions of initially horizon scale fluctuations are compared with results from perturbation theory and the Zel[close quote]dovich solution for a range of gravitational field strengths, and we discuss the nonlinear hydrodynamic, optical, and geometric characteristics of the sheet structures. [copyright] [ital 1999] [ital The American Physical Society]

- Authors:

- (University of California, Lawrence Livermore National Laboratory, Livermore, California 94550 (United States))
- (Department of Physics, University of Illinois, Champaign-Urbana, Illinois 61801 (United States))

- Publication Date:

- OSTI Identifier:
- 6470803

- Alternate Identifier(s):
- OSTI ID: 6470803

- Resource Type:
- Journal Article

- Journal Name:
- Physical Review, D

- Additional Journal Information:
- Journal Volume: 60:6; Journal ID: ISSN 0556-2821

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; COSMOLOGICAL MODELS; COSMOLOGY; EINSTEIN FIELD EQUATIONS; GENERAL RELATIVITY THEORY; GRAVITATION; HYDRODYNAMICS; METRICS; NUMERICAL SOLUTION; PERTURBATION THEORY; RELATIVISTIC RANGE; ENERGY RANGE; EQUATIONS; FIELD EQUATIONS; FIELD THEORIES; FLUID MECHANICS; MATHEMATICAL MODELS; MECHANICS 661300* -- Other Aspects of Physical Science-- (1992-); 661310 -- Relativity & Gravitation-- (1992-)

### Citation Formats

```
Anninos, P., and McKinney, J.
```*Relativistic hydrodynamics of cosmological sheets*. United States: N. p., 1999.
Web. doi:10.1103/PhysRevD.60.064011.

```
Anninos, P., & McKinney, J.
```*Relativistic hydrodynamics of cosmological sheets*. United States. doi:10.1103/PhysRevD.60.064011.

```
Anninos, P., and McKinney, J. Wed .
"Relativistic hydrodynamics of cosmological sheets". United States. doi:10.1103/PhysRevD.60.064011.
```

```
@article{osti_6470803,
```

title = {Relativistic hydrodynamics of cosmological sheets},

author = {Anninos, P. and McKinney, J.},

abstractNote = {We have extended previous numerical calculations of Newtonian cosmological sheets to include self-consistent interactions with the background metric by solving the complete Einstein field equations together with the relativistic perfect fluid hydrodynamics equations. The initial data are parametrized and constructed using the gauge invariant perturbation formalism to specify the free conformal variables for the constraints. Numerical evolutions of initially horizon scale fluctuations are compared with results from perturbation theory and the Zel[close quote]dovich solution for a range of gravitational field strengths, and we discuss the nonlinear hydrodynamic, optical, and geometric characteristics of the sheet structures. [copyright] [ital 1999] [ital The American Physical Society]},

doi = {10.1103/PhysRevD.60.064011},

journal = {Physical Review, D},

issn = {0556-2821},

number = ,

volume = 60:6,

place = {United States},

year = {1999},

month = {9}

}