  The late-time dynamics of massive spin-2 fields in flat and curved spacetimes
are studied analytically. We find that the time evolutions of the massive
fields are characterized by oscillatory power-law decaying tails at
asymptotically late times. In a flat spacetime the decaying exponent depends on
the multipole number and the parity of the mode. In the curved Schwarzschild
black-hole spacetime the decaying exponent is found to be universal.
