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Dynamics of very compact astrophysical objects and black holes. The role of the cosmological constant.
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Quantum cosmology and loop quantum gravity: dynamics, semiclassical approach and physical consequences.
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Theoretical & observational cosmology: dark matter and energy, observational tests, alternative gravity theories.
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Mathematical relativity; trapped and umbilical submanifolds, computer algebra, initial data characterisations and exact solutions.
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Gravitational lensing, galaxy formation and galactic clusters, panoramic surveys and galactic telescopes.