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Turkish Journal of Mathematics

Author ORCID Identifier

KADRİ BERKTAV: 0000-0003-0586-1363

DOI

10.55730/1300-0098.3534

Abstract

In this paper, we examine stacky structures in certain Einstein gravity theories. In brief, using the classicalformulation of (vacuum) gravity, with vanishing cosmological constant, we first construct the stack of solutions to Einsteinfield equations on any given fixed manifold. Using a similar approach and setup, we also study Einstein’s gravity onfamilies of manifolds and define another stack encoding this situation. Later on, we focus on the gauge theoreticalinterpretation of 3D gravity and provide a natural stack associated with that interpretation. Finally, in a particularsetup, we give a natural morphism between the two stacks arising from different descriptions of 3D gravity.

Keywords

3D gravity as a gauge theory, Cartan's formalism, classical 3D Einstein gravity, Stacks

First Page

673

Last Page

700

Creative Commons License

Creative Commons Attribution 4.0 International License
This work is licensed under a Creative Commons Attribution 4.0 International License.

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