December 1997
8
Lecture Notes on General Relativity
Sean M. Carroll
Cosmology
Contemporary cosmological models are based on the idea that the universe is pretty much
the same everywhere a stance somet
December 1997
6
Lecture Notes on General Relativity
Sean M. Carroll
Weak Fields and Gravitational Radiation
When we rst derived Einsteins equations, we checked that we were on the right track by
consi
December 1997
7
Lecture Notes on General Relativity
Sean M. Carroll
The Schwarzschild Solution and Black Holes
We now move from the domain of the weak-eld limit to solutions of the full nonlinear
Eins
December 1997
5
Sean M. Carroll
Lecture Notes on General Relativity
More Geometry
With an understanding of how the laws of physics adapt to curved spacetime, it is undeniably
tempting to start in on a
December 1997
4
Lecture Notes on General Relativity
Sean M. Carroll
Gravitation
Having paid our mathematical dues, we are now prepared to examine the physics of gravitation as described by general rel
Lecture Notes on General Relativity
arXiv:gr-qc/9712019v1 3 Dec 1997
Sean M. Carroll
Institute for Theoretical Physics
University of California
Santa Barbara, CA 93106
[email protected]
December 19
December 1997
2
Lecture Notes on General Relativity
Sean M. Carroll
Manifolds
After the invention of special relativity, Einstein tried for a number of years to invent a
Lorentz-invariant theory of gr
December 1997
3
Lecture Notes on General Relativity
Sean M. Carroll
Curvature
In our discussion of manifolds, it became clear that there were various notions we could talk
about as soon as the manifol