Examples of Newtonian limits of relativistic spacetimes

1997/01/01 by Jϋrgen Ehlers · 6 citations
Engineering · Physics and Astronomy · #Advanced Differential Geometry Research #Classical mechanics #Elasticity and Material Modeling #Frame (networking) #General relativity #Limit (mathematics) #Mathematical analysis #Mathematical physics #Newtonian fluid #Newtonian limit #Nonlinear Waves and Solitons #Physics #Theoretical physics #Theory of relativity

paper · doi:10.1088/0264-9381/14/1a/010

openalex publication_date 1997/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

Abstract

A frame theory encompassing general relativity and Newton - Cartan theory is reviewed. With its help, a definition is given for a one-parameter family of general relativistic spacetimes to have a Newton - Cartan or a Newtonian limit. Several examples of such limits are presented.

Cited by

• Newton–Cartan, Galileo–Maxwell and Kaluza–Klein
• Selected Solutions of Einstein’s Field Equations: Their Role in General Relativity and Astrophysics
• The Post-Newtonian Approximation for Relativistic Compact Binaries
• 1+3 formulation of Newton’s equations
• Jürgen Ehlers [wikipedia]
• Schwarzschild metric [wikipedia]