## Lecture Notes

### Special and General Relativity

#### Lecture Notes

#### Special Relativity

#### General Relativity

#### Problem Sets

#### References and Further Reading

Click on linked topics to view lecture notes.

What are Lorentz Transformations? 1

What are Lorentz Transformations? 2

Lorentz Transformation 3

Lorentz Invariance of Relativistic Equations

Time Dilation and Time Travel

Is FTL (Faster-Than-Light) Possible?

Why Can't Speeds Exceed \(c\)?

*This is a guest post by Dr. Lawrence R. Mead. Dr. Mead is a Professor Emiritus of Physics at the University of Southern Mississippi.*

Riemannian and Pseudo-Riemannian Manifolds

The Curvature

Black Hole 1: Schwarzschild Black Hole

Click on the following links for problems.

G. S. Asanov, Finsler Geometry, Relativity and Gauge Theories, D. Reidel Publishing Company, 1985

Michael V. Berry, Principles of Cosmology and Gravitation, Cambridge University Press, 1976

Matthias Blau, Lecture Notes on General Relavitiy, 950+ pages as of October 2019!

William M. Boothby, An Introduction to Differentiable Manifolds and Riemannian Geometry, Academic Press, 1986

Sean Carroll, Spacetime and Geometry: An Introduction to General Relativity, Pearson, 2016

This book grew out of Sean Carroll's much earlier Lecture notes on General Relativity.

Elie Cartan, On Manifolds with an Affine Connection and the Theory of General Relativity, Bibliopolis, 1986Heino Falcke and Friedrich W. Hehl (Eds.), The Galactic Black Hole, Lectures on general relativity and astrophysics, Series in High Energy Physics, Cosmology and Gravitation, Institute of Physics Publishing, 2003

F. De Felice and C. J. S. Clark, Relativity on Curved Manifolds, Cambridge University Press, 1990

This book contains a good bit of materials on differential geometry.

Giampiero Esposito, Complex General Relativity, Kluwer Academic Publishers, 2002Heino Falcke and Friedrich W. Hehl, The Galactic Black Hole, Lectures on general relativity and astrophysics, Institute of Physics Publishing, 2003

Valeri P. Frolov and Igor D. Novikov, Black Hole Physics: Basic Concepts and New Developments, 1997

Walter Greiner, Classical Mechanics, Point Particles and Relativity, Springer, 2004

S. W. Hawking and G. F. R. Ellis, The Large Scale Structure of Space-Time, Cambridge University Press, 1973

Not for the faint of heart.

L. P. Hughston and K. P. Tod, An Introduction to General Relativity, Cambridge University Press, 1990Charles W. Misner, Kip S. Thorne and John Archibald Wheeler, Gravitation, W. H. Freeman and Company, 1973

A pretty big book with more than 1300 pages. This book is dubbed the bible of general relativity.

Barrett O'Neill, Semi-Riemannian Geometry with Applications to Relativity, Academic Press, 1983A. Papapetrou, Lectures on General Relativity, D. Reidel Publishing Company, 1974

This book also contains a good bit of materials on differential geometry.

Eric Poisson, A Relativist's Toolkit, The Mathematics of Black-Hole Mechanics, Cambridge University Press, 2004Luciano Rezzolla, Gravitational Waves from Perturbed Black Holes and Relativistic Stars

Hans Stephani, Relativity, An Introduction to Special and General Relativity, 3rd Edition, Cambridge University Press, 2004

Advanced General Relativity, John Stewart, Cambridge University Press, 1991

Norbert Straumann, General Relativity and Relativistic Astrophysics, Springer-Verlag, 1984

P.K. Townsend, Black Holes

Kip Thorne and Stephen Hawking (Foreword), Black Holes and Time Warps, Einstein's Outrageous Legacy, W. W. Norton & Company, 1995

Paul A. Tipler and Ralph A. Llewellyn, Modern Physics, 5th Edition, W. H. Freeman and Company, 2008

Richard C. Tolman, Relativity, Thermodynamics and Cosmology, Oxford at the Clarendon Press, 1934

This is a wonderful classical book on the subject and is still well-worth reading.

Richard C. Tolman, The Theory of the Relativity of Motion, University of California Press, 1917.A scanned copy is available for viewing online here.

Lorentzian Wormholes, From Einstein to Hawking, Matt Visser, AIP Series in Computational and Applied Mathematical Physics, 2008Robert M. Wald, General Relativity, The University of Chicago Press, 1984