The Newtonian limit on cosmological scales

DOI10.1007/s00220-015-2418-5zbMath1352.35120arXiv1406.6104OpenAlexW1528709325MaRDI QIDQ2516222

Todd Andrew Oliynyk

Publication date: 11 August 2015

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.6104

zbMATH Keywords

Newtonian gravityEinstein-Euler equations

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Quantum hydrodynamics and relativistic hydrodynamics (76Y05) Einstein equations (35Q76)

Related Items

Cosmological Newtonian limits on large spacetime scales, Is there proof that backreaction of inhomogeneities is irrelevant in cosmology?, Stabilizing effect of the power law inflation on isentropic relativistic fluids, Future stability of the FLRW spacetime for a large class of perfect fluids, On the stability of relativistic perfect fluids with linear equations of state \(p=K\rho\) where \(1/3<K<1\), Newtonian limits of isolated cosmological systems on long time scales, Future stability of the FLRW fluid solutions in the presence of a positive cosmological constant, Future Global Stability for Relativistic Perfect Fluids with Linear Equations of State $p=K\rho$ where $1/3<K<1/2$

Cites Work

• Dynamic field theory and equations of motion in cosmology
• Compressible fluid flow and systems of conservation laws in several space variables
• Post-Newtonian expansions for perfect fluids
• The post-Newtonian approximation for relativistic compact binaries
• Cosmological post-Newtonian expansions to arbitrary order
• Covariant Newtonian limit of Lorentz space-times
• The Newtonian limit for asymptotically flat solutions of the Vlasov- Einstein system
• Partial differential equations. 3: Nonlinear equations
• The Newtonian limit for perfect fluids
• The gravitational equations and the problem of motion
• A RIGOROUS FORMULATION OF THE COSMOLOGICAL NEWTONIAN LIMIT WITHOUT AVERAGING
• Inhomogeneity effects in cosmology
• Classical Fourier Analysis
• Modern Fourier Analysis
• Relativistic and non-relativistic classical field theory on five-dimensional spacetime
• Problems with different time scales for partial differential equations
• Singular limits of quasilinear hyperbolic systems with large parameters and the incompressible limit of compressible fluids
• Compressible and incompressible fluids
• The initial value problem for a class of general relativistic fluid bodies
• Problems with Different Time Scales for Nonlinear Partial Differential Equations
• Gravitational radiation from post-Newtonian sources and inspiralling compact binaries
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