Exact Solutions of (deformed) Jackiw-Teitelboim Gravity
Davood Momeni (Sultan Qaboos U.), Phongpichit Channuie (Walailak U.)
TL;DR
This paper explores exact solutions in both standard and deformed Jackiw-Teitelboim gravity, analyzing various geometries of AdS$_2$ spacetime to deepen understanding of 2D gravity models.
Contribution
It provides a comprehensive analysis of exact Euclidean solutions for JT and deformed JT gravity, including hyperbolic, cusp, and compact geometries.
Findings
Derived exact solutions for hyperbolic coverage.
Obtained solutions for cusp geometry.
Explored solutions in compact AdS$_2$ sectors.
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 spacetime manifold.
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