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Contents
I
Introduction to Gravity and Supergravity
1
Differential Geometry
2
Noether’s Theorems
3
A Perturbative Introduction to GR
4
Action Principles for Gravity
5
N
= 1
,
2
,d
= 4
Supergravities
6
Conserved Charges in GR
II
Gravitating Point-Particles
7
The Schwarzschild Black Hole
8
The Reissner-Nordström BH
9
The Taub-NUT Solution
10
Gravitational
pp
-Waves
11
The Kaluza-Klein Black Hole
12
Dilaton and Dilaton/Axion BHs
13
Unbroken Supersymmetry
III
Gravitating Extended Objects of String Theory
14
String Theory
15
The String Effective Action and T Duality
16
From Eleven to Four Dimensions
17
The Type IIB Superstring and Type II T Duality
18
Extended Objects
19
The Extended Objects of String Theory
20
General
p
-brane solutions
21
String Black Holes in Four and Five Dimensions
A
Lie Groups, Symmetric Spaces and Yang-Mills Fields
B
Gamma Matrices and Spinors
C
n
-Spheres
D
Palatini’s Identity
E
Conformal Rescalings
F
Connections and Curvature Components
G
The Harmonic Operator on
ℝ
3
×
S
1
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