Stacks in Einstein gravity

Date

2024-7-3

Author

Berktav, Kadri İlker

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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.

Subject Keywords

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

URI

https://hdl.handle.net/11511/116217

Collections

Department of Mathematics, Article