Newtonian Motivations For General Relativity
Some of the basic concepts of General Relativity can be outlined outside the relativistic domain. In particular, the idea that mass/energy generates curvature in space and that curvature affects the motion of masses can be illustrated in a Newtonian setting. We use circular orbits as our prototype. This has the advantage that we know the kinetics of circular orbits. This allows us to calculate curvature of orbits in space directly and compare the results with dynamical forces.
| General relativity |
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| Introduction Mathematical formulation Resources |
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Fundamental concepts
Special relativity Equivalence principle World line · Riemannian geometry |
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Phenomena
Kepler problem · Lenses · Waves Frame-dragging · Geodetic effect Event horizon · Singularity Black hole |
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Equations
Linearized gravity Post-Newtonian formalism Einstein field equations Geodesic equation Friedmann equations ADM formalism BSSN formalism |
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Advanced theories
Kaluza–Klein Quantum gravity |
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Solutions
Schwarzschild Reissner–Nordström · Gödel Kerr · Kerr–Newman Kasner · Taub-NUT · Milne · Robertson–Walker pp-wave · van Stockum dust |
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Scientists
Einstein · Lorentz · Hilbert · Poincare · Schwarzschild · Sitter · Reissner · Nordström · Weyl · Eddington · Friedman · Milne · Zwicky · Lemaître · Gödel · Wheeler · Robertson · Bardeen · Walker · Kerr · Chandrasekhar · Ehlers · Penrose · Hawking · Taylor · Hulse · Stockum · Taub · Newman · Thorne others |
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Spacetime
Spacetime Minkowski spacetime Spacetime diagrams Spacetime in General relativity |
Read more about Newtonian Motivations For General Relativity: The Equivalence of Gravitational and Inertial Mass, Test For Flatness in Spacetime, Relativistic Generalization
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