Newtonian hydrodynamics with general relativistic pressure

Journal Article · Tue Oct 01 00:00:00 EDT 2013 · Journal of Cosmology and Astroparticle Physics

DOI:https://doi.org/10.1088/1475-7516/2013/10/054· OSTI ID:22282602

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 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 gauge based on the fully nonlinear formulation of cosmological perturbation in Einstein's gravity. The correction terms differ from many of the previously suggested forms in the literature based on hand-waving manners. We confirm our results by comparing with (i) the nonlinear perturbation theory, (ii) the first order post-Newtonian approximation, and (iii) the special relativistic limit, and by checking (iv) the consistency with full Einstein's equation.

• OSTI ID: 22282602
• Journal Information: Journal of Cosmology and Astroparticle Physics, Vol. 2013, Issue 10; 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
APPROXIMATIONS
ASTROPHYSICS
COMPARATIVE EVALUATIONS
CORRECTIONS
COSMOLOGY
EINSTEIN FIELD EQUATIONS
GRAVITATION
HYDRODYNAMICS
NONLINEAR PROBLEMS
PERTURBATION THEORY
RELATIVISTIC RANGE