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General
Relativity Notes
Wheeler: Special Relativity: the invariant interval
The
invariant interval in special relativity
Wheeler: Relativistic Dynamics
Relativistic
Dynamics (exercises 1 - 6 required)
Wheeler: Index
Notation (work all exercises, unless you have already for another
course)
Torre: Vectors
and dual vectors (includes exercises)
Wheeler: More on
vectors (skip the exercises for now)
Torre: What
is a tensor?
Wikipedia: Covariant
formulation of classical electromagnetism
Note
that the form of the spacetime metric in this article
is the negative of our convention, so signs will differ. Nonetheless, the
article gives an excellent concise summary of the results.
Wheeler: Examples
of tensors
The
covariant formulation of MaxwellÕs equations, and examples of energy-momentum tensors
and their general properties
Wheeler: Manifolds,
vectors and forms
Formal definitions of manifolds, vectors and forms
Wheeler: General
coordinates and the connection
An
introduction to general coordinates, the covariant derivative and the
connection
Torre: Worksheet
from February 6
Wheeler: Parallel
transport and geodesics
A
derivation of the parallel transport and geodesic equations, with examples
Wheeler: Introduction
to curvature
A
constructive introduction to curvature in 2 dimensions
Wheeler: The
Riemann curvature tensor and the Einstein equation
Curvature in general and the Einstein equation
Wheeler: GENERAL RELATIVITY
MIDTERM EXAM
Midterm exam, due March 8.
Wheeler: The
Newtonian limit
By
comparing with Newtonian predictions, we fit the constants in the Schwarzschild
solution and the Einstein equation.
The
comparison requires us to develop the linearized
version of Einstein gravity
Larson: Relativistic
Stars
Wheeler: Symmetry
and Killing fields
Torre: Cosmological
Solutions
Maple worksheet
Larson: Gravitational
Waves
Larson: Cosmology
Torre: Introduction to general relativity using Maple.
Introduction
to Maple Worksheet (zipped)
Torre: Tensor analysis in Euclidean space using Maple.
Tensor
analysis in Euclidean space (zipped)
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