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Newtonian, post-Newtonian and Relativistic Cosmological Perturbation Theory

2015/09/15 by Jai-chan Hwang, Hwang, Jai-chan, Hyerim Noh +1
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Cosmology and Nongalactic Astrophysics (astro-ph.CO) #FOS: Physical sciences #Galaxies: Formation, Evolution, Phenomena #General Relativity and Quantum Cosmology (gr-qc) #astro-ph.CO #gr-qc

paper · pdf · doi:10.48550/arxiv.1509.04703

7 pages, published in Nuclear Physics B (Proc. Suppl.)

arxiv created 2015/09/15 · openalex publication_date 2015/09/15 · arxiv updated 2015/09/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Newtonian cosmological perturbation equations valid to full nonlinear order are well known in the literature. Assuming the absence of the transverse-tracefree part of the metric, we present the general relativistic counterpart valid to full nonlinear order. The relativistic equations are presented without taking the slicing (temporal gauge) condition. The equations do have the proper Newtonian and first post-Newtonian limits. We also present the relativistic pressure correction terms in the Newtonian hydrodynamic equations.

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