Further Thoughts on Generalized JT Gravity and Soliton-Black Hole Correspondences, pp. 379-417
Authors: (Shabnam Beheshti, Dept. of Mathematics and Statistics, Univ. of Massachusetts, Amherst, Massachusetts)
Abstract: We explore the connection between Euclidean sine-Gordon theory, naturally admitting soliton solutions, and Schwarzschild-type black hole metrics of physical interest in JT gravity. In establishing an explicit soliton-black hole correspondence, concrete applications of the constructed gauge transformations are discussed. We also consider a generalised two-dimensional dilaton theory and establish a correspondence between nonconstant curvature soliton metrics and black hole metrics. The theory is applied to study other classical dilaton models, including Spherically Symmetric Gravity (SSG) and String Inspired Gravity (SIG). New solutions to the field equations are presented in several cases. Directions for studying the integrable systems structure of generalised two-dimensional dilaton theories are indicated.