Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2007-09-14
Phys.Lett.B659:698-702,2008
Physics
High Energy Physics
High Energy Physics - Theory
Accepted in Physics Letters B
Scientific paper
10.1016/j.physletb.2007.11.090
Recently, the Heisenberg's uncertainty principle has been extended to incorporate the existence of a large (cut-off) length scale in de Sitter or anti-de Sitter space, and the Hawking temperatures of the Schwarzshild-(anti) de Sitter black holes have been reproduced by using the extended uncertainty principle. I generalize the extended uncertainty to the case with an absolute minimum length and compute its modification to the Hawking temperature. I obtain a general trend that the generalized uncertainty principle due to the absolute minimum length ``always'' increases the Hawking temperature, implying ``faster'' decay, which is in conformity with the result in the asymptotically flat space. I also revisit the ``black hole-string'' phase transition, in the context of the generalized uncertainty principle.
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