Keywords: General Relativity, Relativistic Theories of Gravity, Relativistic Positioning.

My main area of interest revolves around studying the effects of rotation in General Relativity and stationary axially symmetric spacetimes, where these effects are described. From a theoretical perspective, particularly in the realm of mathematical physics, I have applied spacetime splitting techniques to investigate these geometries and operationally define measurable quantities.

On the experimental-observational front, I have described several measurable effects, both in flat and curved spacetimes, considering situations of astrophysical interest. These include the Sagnac effect, gravitoelectromagnetic effects in weakly gravitating source fields, such as the Lense-Thirring effect, and the effects of gravitational and inertial fields on the propagation of matter and light waves. In particular, I have explored the possibility of observing post-Newtonian effects in a terrestrial laboratory using ring lasers.

Moreover, I have developed a formalism that enables the description of the interactions of gravitational waves and detectors in terms of a gravitoelectromagnetic analogy. Using this approach, it is possible to understand that while current detectors reveal the interaction of test masses with the gravitoelectric components of the wave, there are also gravitomagnetic interactions that could be used to detect the effect on moving masses and spinning particles.

Additionally, I have studied the impact of post-Newtonian effects on galactic dynamics, starting from simplified models constituted by exact solutions of Einstein's equations with suitable symmetries.

Furthermore, I have investigated alternative theories to General Relativity, such as the Einstein-Cartan theory, higher-order f(R) theories, torsion theories f(T), with a particular focus on their Newtonian and post-Newtonian limits to assess their compatibility with gravitational tests in the Solar System.

I have also delved into relativistic positioning systems, based on the introduction of emission coordinates (or light coordinates), effective for navigation around Earth using signals from satellites in Earth's orbit and for navigation in the solar system using signals from pulsars.