String Gravity and Physics at the Planck Energy Scale

1. Front Matter

   Pages i-xvi

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2. The String Equation and Solitons

   • S. P. Novikov

   Pages 1-9

3. Lectures on String Theory in Curved Spacetimes

   • H. J. de Vega, N. Sánchez

   Pages 11-63

4. Strings and Multi-Strings in Black Hole and Cosmological Spacetimes

   • A. L. Larsen, N. Sánchez

   Pages 65-103

5. Renormalization Constants from String Theory

   • Paolo Di Vecchia, Lorenzo Magnea, Alberto Lerda, Rodolfo Russo, Raffaele Marotta

   Pages 105-119

6. Closed Superstrings in Magnetic Field: Instabilities and Supersymmetry Breaking

   • A. A. Tseytlin

   Pages 121-149

7. Solution of The SL(2,R) String in Curved Spacetime

   • Itzhak Bars

   Pages 151-169

8. Internal Physics of Black Holes: Recent Developments

   • Werner Israel

   Pages 171-185

9. Black Hole Entropy and Physics at Planckian Scales

   • Valeri Frolov

   Pages 187-208

10. Black Hole Condensation and Duality in String Theory

    • Andrew Strominger

    Pages 209-218

11. Correlation Dynamics of Quantum Fields and Black Hole Information Paradox

    • B. L. Hu

    Pages 219-232

12. Topology and Time Reversal

    • A. Chamblin, G. W. Gibbons

    Pages 233-254

13. Polymer Geometry at Planck Scale and Quantum Einstein Equations

    • Abhay Ashtekar

    Pages 255-276

14. Modular Cosmology

    • Thomas Banks

    Pages 277-284

15. Status of String Cosmology: Basic Concepts and Main Consequences

    • G. Veneziano

    Pages 285-304

16. Status of String Cosmology: Phenomenological Aspects

    • M. Gasperini

    Pages 305-343

17. Predictions from Quantum Cosmology

    • Alexander Vilenkin

    Pages 345-367

18. Statistics of the Microwave Background Anisotropies Caused by Cosmological Perturbations of Quantum-Mechanical Origin

    • L. P. Grishchuk

    Pages 369-408

19. Cosmological Inflation and the Nature of Time

    • D. S. Salopek

    Pages 409-430

20. Aspects of Quantum Cosmology

    • Don N. Page

    Pages 431-450

The contemporary trends in the quantum unification of all interactions including gravity motivate this Course. The main goal and impact of modern string theory is to provide a consistent quantum theory of gravity. This, Course is intended to provide an updated understanding of the last developments and current problems of string theory in connection with gravity and the physics at the Planck energy scale. It is also the aim of this Course to discuss fundamental problems of quantum gravity in the present-day context irrespective of strings or any other models. Emphasis is given to the mutual impact of string theory, gravity and cosmology, within a deep a well defined programme, which provides, in addition, a careful interdisciplinarity. Since the most relevant new physics provided by strings concerns the quantization of gravity, we must, at least, understand string quantization in curved space-times to start. Curved space-times, besides their evident relevance m classical gravitation, are also important at energies of the order of the Planck scale. At the Planck energy, gravitational interactions are at least as important as the rest and can not be neglected anymore. Special care is taken here to provide the grounds of the different lines of research in competition (not just only one approach); this provides an excellent opportunity to learn about the real state of the discipline, and to learn it in a critical way.

• Gravity
• Inflation
• astrophysics
• cosmology
• dynamical systems
• energy
• field theory
• galaxies
• gravitation
• physics
• quantization
• quantum field theory
• quantum gravity
• string theory
• topology

• Observatoire de Paris, Demirm, France

  N. Sánchez

• CERN, Geneva, Switzerland

  A. Zichichi

Policies and ethics