effects of modified dispersion relation on the thermodynamics of achúcarro-ortiz horizon and tunneling radiation probability

the modified dispersion relation was used to study the quantum gravitational effects on the achúcarro-ortiz horizon. in continue, the quantum gravitationally modified entropy of achúcarro-ortiz space-time is used to obtain the tunneling radiation probability. the results show that the tunneling radiation probability is modified.

black hole thermodynamics may be studied by analysis of hawking temperature via usual thermodynamics relations( hawking 1975). to obtain a microscopic picture of horizon, the hawking temperature may be viewed from many viewpoints. it is interesting that in some frameworks, the hawking temperature undergoes corrections in different sources. for example self-gravitational corrections (parikh and wilczek 2000; kraus and wilczek 1995; parikh 2002, 2004) as well as quantum gravitational corrections (setare and vagenas 2004; setare 2003, 2004a, 2004b, 2005, 2006). quantum gravitational one may be obtained by employing the generalized uncertainty principle (setare and vagenas 2004; adler et al. 2001; han et al.