Energy-scale systems typical for astrophysics and cosmology have long been studied in the semiclassical approach in which General Relativity describes gravity while matter is described by quantum field theories. From here, classical effective descriptions and fully quantum models are developed for:
Gravitational interactions: effective theories of low-energy and modified gravity; quantization by coherent states; quantum field theories on curved space and analogies with condensed state models; ultraviolet completeness and existence of minimum length scales; thermodynamics of scalar-tensor theories.
Theoretical cosmology: models of cosmological inflation and cosmic microwave background radiation; dark energy models, theories of modified gravity and dark matter; quantum cosmology and the study of cosmological singularities, with applications to inflation, reheating, matter, dark radiation and energy, and the production of primordial black holes.
Physics of black holes and compact astrophysical objects: quantum models and effects for high-compactness self-gravitating systems; gravitational collapse and formation of horizons with Hawking radiation; resolution of classical singularities and regular quantum black holes; exotic astrophysical objects and compact sources in quantum and post-Newtonian gravitation; perturbations and emission of gravitational waves.