Fully nonlinear cosmological perturbations of multi-component fluid and field systems

@article{Hwang2015FullyNC,
  title={Fully nonlinear cosmological perturbations of multi-component fluid and field systems},
  author={Jai-chan Hwang and Hyerim Noh and Chan-Gyung Park},
  journal={arXiv: General Relativity and Quantum Cosmology},
  year={2015}
}
We present fully nonlinear and exact cosmological perturbation equations in the presence of multiple components of fluids and minimally coupled scalar fields. We ignore the tensor-type perturbation. The equations are presented without taking the temporal gauge condition in the Friedmann background with general curvature and the cosmological constant. For each fluid component we ignore the anisotropic stress. The multiple component nature, however, introduces the anisotropic stress in the… 
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8 Citations

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References

SHOWING 1-10 OF 41 REFERENCES

Fully nonlinear and exact perturbations of the Friedmann world model: non-flat background

We extend the fully non-linear and exact cosmological perturbation equations in a Friedmann background universe to include the background curvature. The perturbation equations are presented in a…

Cosmological perturbations with multiple fluids and fields

We consider the evolution of perturbed cosmological spacetime with multiple fluids and fields in Einstein gravity. Equations are presented in gauge-ready forms, and are presented in various forms…

Cosmological post-Newtonian equations from nonlinear perturbation theory

We derive the basic equations of the cosmological first-order post-Newtonian approximation from the recently formulated fully nonlinear and exact cosmological perturbation theory in Einstein's…

Newtonian hydrodynamics with general relativistic pressure

We present the general relativistic pressure correction terms in Newtonian hydrodynamic equations to the nonlinear order: these are equations (1.1)–(1.3). The derivation is made in the zero-shear…

Second-order perturbations of the Friedmann world model

We consider the instability of the Friedmann world model to second order in perturbations. We present the perturbed set of equations up to second order in the Friedmann background world model with a…

Cosmological perturbations

Cosmological non-linear hydrodynamics with post-Newtonian corrections

The purpose of this paper is to present general relativistic cosmological hydrodynamic equations in Newtonian-like forms using the post-Newtonian (PN) method. The PN approximation, based on the…

Cosmological non-linear density and velocity power spectra including non-linear vector and tensor modes

We present the leading order non-linear density and velocity power spectra in the complete form; previous studies have omitted the vector- and tensor-type perturbations simultaneously excited by the…

Third-order perturbations of a zero-pressure cosmological medium : Pure general relativistic nonlinear effects

We consider a general relativistic zero-pressure irrotational cosmological medium perturbed to the third order. We assume a flat Friedmann background but include the cosmological constant. We ignore…

Fully non-linear and exact perturbations of the Friedmann world model

In 1988 Bardeen has suggested a pragmatic formulation of cosmological perturbation theory which is powerful in practice to employ various fundamental gauge conditions easily depending on the…