Mathematical Cosmology

Dear Colleagues,

Mathematical cosmology is the study of the construction, the structure, and the intrinsic content of an exact cosmological spacetime within Einsteinian gravity or an alternate classical theory. A cosmological spacetime is usually a manifold and a metric together with a fundamental time-like vector field; however, chaotic, topologically nontrivial, non-Hausdorff, and even acausal models do arise and are considered. Furthermore, purely mathematical questions like those pertaining to genericity and stability of the models and their intrinsic features (e.g., singularities, horizons, topological defects, etc.) arise in both classical and quantum-related theories, theories such as string theory and loop quantum gravity.

This Special Issue is a place to share your mathematical work on cosmological spacetimes and their intrinsic global features. Studies of new exact solutions in Einstein gravity or alternative theories are welcome as well as quantum extensions such as string cosmology and loop cosmology. Physically interesting analyses of the structure and features of cosmological spacetimes is also welcome. In particular, studies of the rarer types of global features such as the mild quasiregular and non-scalar curvature singularities or unusual cosmological milestones such as sudden singularities or big rips would also appropriate. Finally, any mathematical analyses that may shed light on the genericness or stability of these cosmological spacetimes is welcome.

Prof. Dr. Deborah Konkowski
Guest Editor

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