Lecture notes on general relativity

Carroll, Sean M.

Lecture notes on general relativity

Sean M. Carroll
(
- Santa Barbara, KITP
)

Dec, 1997

231 pages

e-Print:

gr-qc/9712019 [gr-qc]

Report number:

NSF-ITP-97-147

View in:

ADS Abstract Service

pdf

reference search240 citations

Citations per year

Abstract: (arXiv)

These notes represent approximately one semester's worth of lectures on introductory general relativity for beginning graduate students in physics. Topics include manifolds, Riemannian geometry, Einstein's equations, and three applications: gravitational radiation, black holes, and cosmology.

Note:

238 pages, numerous figures. Individual chapters, and potentially updated versions, can be found at http://itp.ucsb.edu/~carroll/notes/ Report-no: NSF-ITP/97-147

lectures: Cambridge 1996
general relativity
space-time
Einstein equation
tensor: energy-momentum
approximation: weak field
gravitational radiation
black hole
astrophysics
differential geometry

References(40)

Figures(0)

• in General Relativity (Cambridge, 1985) [*]. This is a

B.F. Schutz
,
A. First Course

• Gravitation and Cosmology ( 1972) [**]. A really good book at

S. Weinberg

• Gravitation (Freeman, 1973) [**]. A heavy book

C. Misner
,
K. Thorne
,
J. Wheeler

• General Relativity (Chicago, 1984) [***]. Thorough discussions of a number

R. Wald

• Spacetime Physics (Freeman, 1992) [*]. A good introduction

E. Taylor
,
J. Wheeler

• Introducing Einstein’s Relativity (Oxford, 1992) [**]. A book I haven’t

R. D'Inverno

• Problem Book in Rela

A.P. Lightman
,
W.H. Press
,
R.H. Price
,
S.A. Teukolsky

• General Relativity and Relativistic Astrophysics ( Verlag, 1984)

N. Straumann

• Relativity on Curved Manifolds (Cambridge, 1990) [***

F. de Felice
,
C. Clarke

• The Large-Scale Structure of Space-Time (Cambridge, 1973)

S. Hawking
,
G. Ellis

• General Relativity for Mathematicians ( Verlag, 1977)

R. Sachs
,
H. Wu

• Geometrical Methods of Mathematical Physics (Cambridge, 1980) [**

B. Schutz

• Differential Topology ( 1974) [**]. An

V. Guillemin
,
A. Pollack

• Topology and Geometry for Physicists ( Press, 1983)

C. Nash
,
S. Sen

• Foundations of Differentiable Manifolds and Lie Groups (

F.W. Warner

December 1997 Lecture Notes on General Relativity Carroll

Sean M.

all of space at a single moment in time

simultaneous events

paradoxes

by the matrix kind of matrices will leave the interval invariant? Sticking with the

Λ. What

rotations between space and time directions.

free

vectors

are the components of the vector often than not we will forget

A. More

function

1-25 of 40
1
2
25 / page