Open Access. Powered by Scholars. Published by Universities.®
- Keyword
-
- Classical field theory (1)
- Dirac field (1)
- Electromagnetic field (1)
- General Relativity (1)
- Geodesics (1)
-
- Gravitational field (1)
- Hamiltonian (1)
- Klein-Gordon field (1)
- Lagrangian (1)
- Maple worksheet (1)
- Noether theorems (1)
- Orbits (1)
- Perihelion precession (1)
- Presentation (1)
- Scalar electrodynamics (1)
- Schwarzschild spacetime (1)
- Spontaneous symmetry breaking (1)
- Symmetries and conservation laws (1)
- Yang-Mills field (1)
- Publication
- Publication Type
Articles 1 - 2 of 2
Full-Text Articles in Applied Mathematics
Introduction To Classical Field Theory, Charles G. Torre
Introduction To Classical Field Theory, Charles G. Torre
All Complete Monographs
This is an introduction to classical field theory. Topics treated include: Klein-Gordon field, electromagnetic field, scalar electrodynamics, Dirac field, Yang-Mills field, gravitational field, Noether theorems relating symmetries and conservation laws, spontaneous symmetry breaking, Lagrangian and Hamiltonian formalisms.
Perihelion Precession In General Relativity, Charles G. Torre
Perihelion Precession In General Relativity, Charles G. Torre
Charles G. Torre
This is a Maple worksheet providing a relatively quick and informal sketch of a demonstration that general relativistic corrections to the bound Kepler orbits introduce a perihelion precession. Any decent textbook will derive this result. My analysis aligns with that found in the old text "Introduction to General Relativity", by Adler, Bazin and Schiffer. The plan of the analysis is as follows. * Model the planetary orbits as geodesics in the (exterior) Schwarzschild spacetime. * Compute the geodesic equations. * Simplify them using symmetries and first integrals. * Isolate the differential equation expressing the radial coordinate as a function of …