  We obtain a (5+1)-dimensional global flat embedding of modified Schwarzschild
black hole in rainbow gravity. We show that local free-fall temperature in
rainbow gravity, which depends on different energy $\omega$ of a test particle,
is finite at the event horizon for a freely falling observer, while local
temperature is divergent at the event horizon for a fiducial observer.
Moreover, these temperatures in rainbow gravity satisfy similar relations to
those of the Schwarzschild black hole except overall factor $g(\omega)$, which
plays a key role of rainbow functions in this embedding approach.
