Akademik Veri Yönetim Sistemi
TURKISH JOURNAL OF MATHEMATICS, cilt.48, sa.4, 2024 (SCI-Expanded, Scopus)
In this paper, we examine stacky structures in certain Einstein gravity theories. In brief, using the classical formulation of (vacuum) gravity, with vanishing cosmological constant, we first construct the stack of solutions to Einstein field equations on any given fixed manifold. Using a similar approach and setup, we also study Einstein's gravity on families of manifolds and define another stack encoding this situation. Later on, we focus on the gauge theoretical interpretation of 3D gravity and provide a natural stack associated with that interpretation. Finally, in a particular setup, we give a natural morphism between the two stacks arising from different descriptions of 3D gravity.