Quantum Strings in Curved Space Times

Abstract

We discuss string theory in the context of quantum gravity, with specific treatment of string quantization in curved space times. The contents of these lectures is the following. In lecture I we discuss thermal and ground state effects of quantum strings : (i) (first) string quantization in Rindler space-time and its applications to the Scharzschild geometry (ii) the Hawking-Unruh effect in string theory and its description in terms of analytic mappings. In Lecture II we give a new approach to string quantization in curved space time in order to take into account strong curvature effects of the geometry. We apply our method to (i) de-Sitter space-time (ii) the quantum string dynamics and scattering in black hole space times. In lecture III we treat the case of boosted black-holes in the ultra relativist limit (gravitational schock wave or Aichelburg Sexl geometry) in the context of (i) the particle scattering at the Planck energy scale and (ii) quantum string dynamics and scattering in this geometry, (in this case, the problem can be solved exactly).KeywordsBlack HoleEvent HorizonSpace TimeCurve Space TimeFlat Space TimeThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.