caa a22 4500 467887578 CHVBK 20180406152739.0 cr unu---uuuuu 170328e20060501xx s 000 0 eng 10.1007/s10714-006-0260-y doi (NATIONALLICENCE)springer-10.1007/s10714-006-0260-y Newtonian versus relativistic nonlinear cosmology [Elektronische Daten] [Hyerim Noh, Jai-chan Hwang] Both for the background world model and its linear perturbations Newtonian cosmology coincides with the zero-pressure limits of relativistic cosmology. However, such successes in Newtonian cosmology are not purely based on Newton's gravity, but are rather guided ones by previously known results in Einstein's theory. The action-at-a-distance nature of Newton's gravity requires further verification from Einstein's theory for its use in the large-scale nonlinear regimes. We study the domain of validity of the Newtonian cosmology by investigating weakly nonlinear regimes in relativistic cosmology assuming a zero-pressure and irrotational fluid. We show that, first, if we ignore the coupling with gravitational waves the Newtonian cosmology is exactly valid even to the second order in perturbation. Second, the pure relativistic correction terms start appearing from the third order. Third, the correction terms are independent of the horizon scale and are quite small in the large-scale near the horizon. These conclusions are based on our special (and proper) choice of variables and gauge conditions. In a complementary situation where the system is weakly relativistic but fully nonlinear (thus, far inside the horizon) we can employ the post-Newtonian approximation. We also show that in the large-scale structures the post-Newtonian effects are quite small. As a consequence, now we can rely on the Newtonian gravity in analyzing the evolution of nonlinear large-scale structures even near the horizon volume. Springer-Verlag, 2006 Newtonian cosmology nationallicence Relativistic cosmology nationallicence Large-scale structure nationallicence Nonlinear perturbations nationallicence Noh Hyerim Korea Astronomy and Space Science Institute, Daejon, Korea aut Hwang Jai-chan Department of Astronomy and Atmospheric Sciences, Kyungpook National University, Taegu, Korea aut General Relativity and Gravitation Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 38/5(2006-05-01), 703-710 0001-7701 38:5<703 2006 38 10714 https://doi.org/10.1007/s10714-006-0260-y text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10714-006-0260-y text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Noh Hyerim Korea Astronomy and Space Science Institute, Daejon, Korea aut NATIONALLICENCE 700 1- Hwang Jai-chan Department of Astronomy and Atmospheric Sciences, Kyungpook National University, Taegu, Korea aut NATIONALLICENCE 773 0- General Relativity and Gravitation Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 38/5(2006-05-01), 703-710 0001-7701 38:5<703 2006 38 10714 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer