Improved binary pulsar constraints on the parameterized post-Einsteinian
  framework
  The parameterized post-Einsteinian formalism was developed to search for
generic deviations from general relativity with gravitational waves. We here
present constraints on this framework using Bayesian analysis of a set of
binary pulsar observations. In particular, we use measurements of the Keplerian
and post-Keplerian parameters of six different binary pulsar systems, and
Markov-Chain Monte-Carlo exploration to calculate posteriors on the
parameterized post-Einsteinian parameters and derive robust constraints. We
find improvements of 1-2 orders of magnitude in the strength of constraints
when combining all six observations, relative to what one can achieve when
using only the double binary pulsar. We also find that the constraints are
robust to covariances with the binary's component masses. The bounds on the
parameterized post-Einsteinian framework derived here could be used as a prior
in future Bayesian tests of general relativity with gravitational wave
observations.
