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89 papers
Introduction to the ADM formalism
Alejandro Corichi, Dario Núñez
The authors present concepts and mathematical developments which give rise to the Hamiltonian formulation of Einstein's general relativity, first introduced by Arnowitt, Deser, and…
Weakly Isolated Horizons: decomposition and canonical formulations in self-dual variables
Alejandro Corichi, Juan D Reyes, Tatjana Vukašinac
The notion of Isolated Horizons has played an important role in gravitational physics, being useful from the characterization of the endpoint of black hole mergers to (quantum) bla…
Emergence of classical behavior in the early universe
Abhay Ashtekar, Alejandro Corichi, Aruna Kesavan
We investigate three issues that have been discussed in the context of inflation: Fading of the importance of quantum non-commutativity; the phenomenon of quantum squeezing; and th…
Canonical analysis of field theories in the presence of boundaries: Maxwell+Pontryagin
Alejandro Corichi, Tatjana Vukašinac
We study the canonical Hamiltonian analysis of gauge theories in the presence of boundaries. While the implementation of Dirac's program in the presence of boundaries, as put forwa…
Hamiltonian analysis of a topological theory in the presence of boundaries
Alejandro Corichi, Tatjana Vukašinac
We perform the canonical Hamiltonian analysis of a topological gauge theory, that can be seen both as a theory defined on a four dimensional spacetime region with boundaries --the…
Weakly Isolated Horizons: First order actions and gauge symmetries
Alejandro Corichi, Juan D. Reyes, Tatjana Vukašinac
Isolated Horizons have played an important role in gravitational physics, from characterization of the endpoint of black hole mergers to black hole entropy. With an eye towards a c…