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

Local free-fall Temperature of modified Schwarzschild black hole in rainbow spacetime