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Title: 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 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.
Authors:
 [1] ;  [2]
  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)
Publication Date:
OSTI Identifier:
22282602
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Cosmology and Astroparticle Physics; Journal Volume: 2013; Journal Issue: 10; Other Information: Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
79 ASTROPHYSICS, COSMOLOGY AND ASTRONOMY; APPROXIMATIONS; ASTROPHYSICS; COMPARATIVE EVALUATIONS; CORRECTIONS; COSMOLOGY; EINSTEIN FIELD EQUATIONS; GRAVITATION; HYDRODYNAMICS; NONLINEAR PROBLEMS; PERTURBATION THEORY; RELATIVISTIC RANGE