Exact Solutions of (deformed) Jackiw-Teitelboim Gravity

Abstract

It is well known that Jackiw-Teitelboim (JT) gravity posses the simplest theory on 2-dimensional gravity. The model has been fruitfully studied in recent years. In the present work, we investigate exact solutions for both JT and deformed JT gravity recently proposed in the literature. We revisit exact Euclidean solutions for Jackiw-Teitelboim gravity using all the non-zero components of the dilatonic equations of motion using proper integral transformation over Euclidean time coordinate. More precisely, we study exact solutions for hyperbolic coverage, cusp geometry and another compact sector of the AdS${}_2$ spacetime manifold.

v3: 18 pages, no figure, changes reflected the reviewer's comments, version to appear in European Physical Journal C

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• On the Explicit Asymptotic Symmetry Breaking of sl(3,R) Jackiw-Teitelboim Gravity
• Exploring the Applicability of Birkhoff's Theorem in Jackiw-Teitelboim Gravity