In this webpage, you will find notes and homework solutions for Thomas P. Kling's undergraduate seminar on general relativity. The notes come directly from a variety of sources, including standard GR texts and the Professor Kling's lecture notes of the graduate relativity course taught by Professor Carlo Rovelli at the University of Pittsburgh in 1997.

Lecture 1: What is Space?

Lecture 1 Supplement: History of
the concept of Space

Lecture 2: Special Relativity for Spacetime

Lecture 2 Supplement: Brian Keith
thesis

Lecture 3: Equivalence

Lecture 3 Supplement: Brown
Astrophysics Journal Club talk on Precision Measurements

Lecture 4: Math 1 -
Manifolds

Lecture 5: Math 2 -
Vectors

Lecture 6: Math 3
- Dual Vectors

Lecture
7: Math 4 - Tensors

Lecture 8: Math 5 -
Metrics

Lecture 8 Supplement:
Curvature

Lecture 9: Gravity
and Metrics

Lecture 10: Curves

Lecture 10
Supplement: Geodesics

Lecture 11: Coordinates

Lecture 12: Riemann Tensor

Lecture
12 Supplement: Parallel Transport

Lecture 13: General
Covariance

Lecture 14: The
Einstein Field Equation

Lecture 15:
Schwarzschild Space-time and Black Holes 1

Lecture 16: Schwarzschild Space-time and Black Holes 2

Lecture 17: Schwarzschild Space-time and Black Holes 3

Lecture 18:
Orbits Near Black Holes

Lecture 19: Hawking
Radiation and reading . . .
Helfer, Mathur,
Smolin,
Hsu

Lecture 20:
Introduction to Cosmology

Lecture
20 Supplement: Newtonian Cosmology

Lecture 21:
Robertson Walker Dynamics

Lecture 22: Big Bang Misconceptions

General Reading Assignment Instructions (follow every time)

Homework 1: Library and relativity archives

Homework 2: Time dilation and Length contraction

Homework 3: Newtonian cosmology

Homework 4: Properties of Manifolds

Homework 5: Vectors

Homework 6: Dual Vectors

Homework 7: Tensors

Homework 8: Metrics

Homework Solutions:

Homework 2 Solutions

Homework 3 Solutions

Homework 4 Solutions

Homework 5 Solutions

Homework 6 Solutions

Homework 7 Solutions

Homework 8 Solutions

Wigner's "Unreasonable effectiveness of
mathematics"

NYTimes article: Penrose and
Gurzadyan

Martin Gardner on M-Theory and the Weak Anthropic Principle

More famous article -- at least the start of it - will try to distribute entire
article

Los Alamos Archive -- preprint server for
physics and astronomy (see gr-qc and astro-ph)

NASA ADS -- preprint server for
astronomy

Living Reviews -- requested review
articles in GR, solar physics

*Gravity* book website
-- by James
Hartle

Topology website -- seems reasonable, haven't fully verified

Web-based course on
gravitational waves -- by Kip Thorne

Black hole interviews -- site with
10-15 video interviews with prominent people

Baryonic Acoustic
Oscillations -- site by D. Eisenstein.

HST Public Site -- for various Hubble related links.

Einstein Exhibit -- American Museum of Natural History Special Exhibit on
Einstein.

The time we thought we knew – NY Times Op-Ed on January 1, 2004 by Brian
Greene.

Black Hole Observations – NY Times article on observed tidal effects
from black holes.

Profile of Lisa Randall -- NY Times article on the
prominent String Theorist

Dangling Particles -- NY Times Op-Ed by Lisa Randall

The Raelians – because their funny.