Mechanics and Equilibrium Geometry of Black Holes, Membranes, and Strings
Brandon Carter
TL;DR
This paper provides a mathematically coherent introduction to the classical theory of black holes, strings, and membranes, focusing on their equilibrium geometry and the dynamics of their world sheets.
Contribution
It offers a comprehensive analysis of the equilibrium geometry of black holes, strings, and membranes, connecting their physical properties with their geometric structures.
Findings
Detailed geometric descriptions of black hole horizons
Analysis of equilibrium states of membranes and strings
Insights into the dynamics of world sheets in these systems
Abstract
This course is designed to give a mathematically coherent introduction to the classical thory of black holes and also of strings and membranes (which are like the horizon of a black hole in being examples of physical systems based on a dynamically evolving world sheet) giving particular attention given to the study of the geometry of their equilibrium states.
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