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.
Highlights
S=− 1 κD d D x √ −g R + √ x −gLM (1)where κD denotes a D-dimensional gravitational coupling.It was found that when taking D → 2 applied on both an action and a coupling, limD→2 κD ∼ O(1 − D 2
In another recent paper [25], the authors demonstrated that the deformed JT gravity action can be derived from the the minimal string theory
To generalize JT gravity to a large class of models, let us emphasize a particular example of a self-coupling of the scalar field proposed in Refs. [24,27]
Summary
Where κD denotes a D-dimensional gravitational coupling. It was found that when taking D → 2 applied on both an action and a coupling, limD→2 κD. [24], showed that JT gravity can be considered as a near extremal of the AdS 3d gravity via path integral In another recent paper [25], the authors demonstrated that the deformed JT gravity action can be derived from the the minimal string theory. Deformed JT gravity has been investigated in [27] by adding a selfcoupling of the scalar field to the original JT gravity action. To generalize JT gravity to a large class of models, let us emphasize a particular example of a self-coupling of the scalar field proposed in Refs. 4. adding a self-coupling of the scalar field is not the only possibility to deform JT gravity.
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