Detecting the stochastic gravitational wave background from massive gravity with pulsar timing arrays

We explore the potential of pulsar timing arrays (PTAs) such as NANOGrav, EPTA, and PPTA to detect stochastic gravitational wave background in theories massive gravity. In general relativity, function describing dependence correlation between arrival times signals from two pulsars on angle them is known Hellings-Downs curve. compute analogous overlap reduction for gravity, including additional polarization states correction due mass graviton, compare result with The primary a complete analytical form analog curve, providing starting point future numerical studies aimed at detailed comparison PTA data predictions study both massless limit stationary checks our calculation, discuss how formalism also allows us impact spin-2 dark matter candidates PTAs.