The Double Pulsar system PSR J0737-3039A/B has proven to be an excellent
laboratory for high precision tests of general relativity. With additional
years of timing measurements and new telescopes like the Square Kilometre Array
(SKA), the precision of these tests will increase and new effects like the
Lense-Thirring precession of the orbit will become measurable. Here, we discuss
the prospects of measuring the Lense-Thirring effect and thereby constraining
the equations of state at supra-nuclear densities in neutron stars using the
Double Pulsar.Comment: 6 pages, 3 figures; Contribution to the proceedings of "The
Fourteenth Marcel Grossmann Meeting", University of Rome "La Sapienza", Rome,
July 12-18, 201