The double pulsar system J0737-3039A/B, discovered with the Parkes radio
telescope in 2003, is one of the most intriguing pulsar findings of the last
decade. This binary system, with an orbital period of only 2.4-hr and with the
simultaneous presence of two radio pulsed signals, provides a truly unique
laboratory for relativistic gravity and plasma physics. Moreover its discovery
enhances of almost an order of magnitude the estimate of the merger rate of
double neutron stars systems, opening new possibilities for the current
generation of gravitational wave detectors. In this contribution we summarise
the present results and look at the prospects of future observations.Comment: Published electronically in Proceedings "Science with Parkes @ 50
Years Young", 2012, Ed. Robert Braun. Conference link is,
http://www.atnf.csiro.au/research/conferences/Parkes50th/ProcPapers/Burgay.pd