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Desarrollo de algoritmos para el análisis de señales de radiación gravitatoria

Reconstruction of gravitational collapse signals from the core of massive stars. Catalogues of signals by magneto-rotational, neutrino and acoustic mechanisms. Obtaining physical parameters. Comparison of Bayesian inference techniques and Split-Bregman algorithms.

Dynamic interpretation of dark matter and dark energy

Study of the relation between the self-gravitating N-particle issue in general relativity and the dark matter and dark energy phenomena on galactic and cosmological scales.

Exact solutions of Einstein’s equations: intrinsic characterisations

Study of the symmetries and parameters that characterise different solutions of Einstein’s equations from concomitants of the curvature tensor. Analysis of the concept of the intrinsic state of gravitational radiation from the invariant properties of the Bel-Robinson tensor.

Intrinsic energy and intrinsic moments of a space-time: universes that could be created

Search for the most general definition of linear and angular 4-momentum proper to the universe. Use of this definition to determine whether the different models of the universe used in technical literature to explain the observations can be created (as quantum vacuum fluctuations).

Relativistic positioning systems: theory and simulations

Analytical and numerical study of single and dual (bifurcation) positioning. Selection of the true position in the case of bifurcation, and choice of the four satellites in the constellation that lead to minimum positioning errors. Pulsar navigation within the solar system.