Contents

• Introduction
• General Relativity
• Black Holes
  • Spherical symmetry
  • Schwarzschild solution
  • Reissner-Nordstrøm solution
  • Black Hole Physics
  
  
• String Effective Actions
  • Classical String Theory
  • Low Energy String Effective Action
  • Kaluza Klein Theory
  • Reduction of the Low Energy String Effective Action
  
  
• Four-dimensional Actions and Dual Symmetries
  • Reduction of SEA
  • Dual Representation of the Axion
  • -Duality in Four Dimensions
  • Electric/Magnetic Duality
    • Duality in Electromagnetism
    • Generalized Electromagnetic Duality
    • -Duality with Two Vector Fields
  • Manifest Invariant Action
  
  
• Black Hole Solutions of String Effective Action
  • Equations of Motion
  • Dilaton Black Holes
    • One Vector Field
    • Two Vector Fields
    • Properties
  • Dilaton-Modulus solution
  • Axion Black Holes
    • Asymptotic Behaviour of Dilaton-Axion Solution
    • Dilaton-Axion Black Holes
    • Modulus-Dilaton-Axion Black Holes
  
  
• Extremal Black Holes
  • Extremal RN Black Hole
  • Extremal Dilaton Solutions
    • Singly Charged Solution
    • Dyonic Solution
  • Dilaton-Modulus Extremal Solution
  
  
• Solution Generating Techniques
  • Dimensional Reduction to Three Dimensions
  • Symmetry Group
    • Direct Reduction
    • Solution Generating Transformations
  • Symmetry Group
    • Dualisation of the vectors
    • Solution Generating Transformations
  • The General Solution
  • Extention to the Full SEA
  
  
• Summary and Conclusions
• Useful Tensors in Curved Space-Time
  • Tetrad Formalism
  • Levi-Civita Symbol in Curved Space-Time
  
  
• The Symmetry Group O(d,d')
• Overview of Solutions
• Overview of Extremal Solutions
• Bibliography
• About this document ...