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 3 × S1