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

摘要

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. 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 the overall factor g(w), which plays a key role of rainbow functions in this embedding approach.