Newtonian limit of fully nonlinear cosmological perturbations in Einstein's gravity

Journal Article · Mon Apr 01 00:00:00 EDT 2013 · Journal of Cosmology and Astroparticle Physics

DOI:https://doi.org/10.1088/1475-7516/2013/04/035· OSTI ID:22282837

Hwang, Jai-chan ^[1]; Noh, Hyerim ^[2]

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1. Department of Astronomy and Atmospheric Sciences, Kyungpook National University, Daegu 702-701 (Korea, Republic of)
2. Korea Astronomy and Space Science Institute, Daejeon 305-348 (Korea, Republic of)

We prove that in the infinite speed-of-light limit (i.e., non-relativistic and subhorizon limits), the relativistic fully nonlinear cosmological perturbation equations in two gauge conditions, the zero-shear gauge and the uniform-expansion gauge, exactly reproduce the Newtonian hydrodynamic perturbation equations in the cosmological background; as a consequence, in the same two gauge conditions, the Newtonian hydrodynamic equations are exactly recovered in the Minkowsky background.

• OSTI ID: 22282837
• Journal Information: Journal of Cosmology and Astroparticle Physics, Vol. 2013, Issue 04; Other Information: Country of input: International Atomic Energy Agency (IAEA); ISSN 1475-7516
• Country of Publication: United States
• Language: English

Related Subjects

79 ASTROPHYSICS
COSMOLOGY AND ASTRONOMY
COSMOLOGY
DISTURBANCES
EXPANSION
FIELD EQUATIONS
GRAVITATION
HYDRODYNAMICS
MINKOWSKI SPACE
NONLINEAR PROBLEMS
PERTURBATION THEORY
RELATIVISTIC RANGE
VISIBLE RADIATION