  In some supergravity models, the superlight gravitino is accompanied by a
light weakly coupled scalar (S) and pseudo-scalar (P) particle. The coupling of
these particles to matter is inversely proportional to the product of the
gravitino mass and the Planck mass. As a result, their emission from the stars
and supernovae via the photon electron scattering reaction for certain ranges
of the gravitino mass can become the dominant energy loss mechanism in
contradiction with observations thereby ruling out those mass values for the
gravitino. For scalar and/or pseudo-scalar masses between 10 MeV and a keV, the
SN1987A observations exclude the gravitino mass range from 0.03 eV to 30 eV
whereas if the S/P masses are less than a keV, constraints of stellar energy
loss can exclude the gravitino masses ranging from $3\times 10^{-6}$ eV to 50
eV for the photino mass of 100 GeV. We also find that for S/P mass less than an
MeV, Big Bang Nucleosynthesis constraints imply a gravitino mass larger than
one eV. These are the most stringent bounds to date on the gravitino mass in
this class of models.
