Abstract
In the present article we review the work carried out by us and collaborators on supersymmetric quantum cosmology, noncommutative quantum cosmology and the application of GUPs to quantum cosmology and black holes. The review represents our personal view on these subjects and it is presented in chronological order.
Highlights
Quantum gravity is a prospect of a physical theory describing the quantum phenomena associated to the gravitational field
In the present article we review our advances on another approach to quantum gravity as quantum cosmology
We have made several proposals that we shortly review here: supersymmetric cosmology, effective noncommutativity in cosmology and black holes
Summary
Quantum gravity is a prospect of a physical theory describing the quantum phenomena associated to the gravitational field. The observed large scale homogeneity of the universe, indicates a primary description in a minisuperspace, with finitely many degrees of freedom Such a theory has the indubitable advantage, that it accepts a quantum description, and has served as a test ground for approaches of quantum gravity. This theory has given new insights in the study of the early universe, and of the other realm where it is thought that quantum gravity should manifest, the interior of black holes Among these approaches, we have made several proposals that we shortly review here: supersymmetric cosmology, effective noncommutativity in cosmology and black holes.
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