Radio properties of the cool core galaxy cluster Abell 1668

Clusters of galaxies are the most massive and large gravitationally bounded systems in the Universe. It is widely accepted that mechanical feedback from active galactic nuclei (AGNs) plays a key role in the evolution of galaxy clusters, suppressing cooling flows and the associated fast growth of central galaxies.One of the most evidences comes from the detections of surface brightness depressions in X- ray images of galaxy clusters, often referred as X-ray cavities. Many cavities are associated with radio jets and spatially coincident with radio lobes. The aim of this thesis is to test the method to reveal X-ray cavity through the combination of high X-ray flux and high H alpha. The core of the work is the study of the new Jansky Very Large Array (JVLA) data observations performed at 1.5 GHz and 5 GHz of the cool core Abell A1668. Data were reduced and calibrated with the package AIPS. Isocountour and polarisation maps were yielded, allowing to derive the main physical properties. By combining the maps at 1.5 GHz and 5 GHz, we produced the spectral index maps. We take a glance to the snapshot observation of A1668 in X-band perfomed by Chandra, allowing to obtain information on the X-ray morphology for further follow-up with Chandra. Finally we made many overlay between the X-ray, infrared, radio maps and we conclude with the detection of a cavity in the A1668. This thesis confirms that the combination of high H alpha and X-ray flux is an ideal approach for identify cool core clusters and we recommend a further follow-up of this target with Chandra to improve the AGN/cool core picture.