1202.2102 (Piero Nicolini)

Nonlocal and generalized uncertainty principle black holes    [PDF]

Piero Nicolini

In this paper we study the issue of the role of nonlocality as a possible
ingredient to solve long standing problems in the physics of black holes. To
achieve this goal we analytically derive new black hole metrics improved by
corrections from nonlocal gravity actions with an entire function of the order
1/2 and lower than 1/2, the latter corresponding to generalized uncertainty
principle corrections. This lets us extend our previous findings about
noncommutative geometry inspired black holes recently recognized as nonlocal
black holes due to an entire function of order higher than 1/2. As a result we
show that irrespective of the order of the function, nonlocality leads to the
following properties for black hole spacetimes: i) horizon extremization also
in the neutral, non rotating case; ii) black hole phase transition from a
Schwarzschild phase to a positive heat capacity cooling down phase; iii) zero
temperature remnant formation at the end of the evaporation process; iv)
negligible quantum back reaction due to the presence of an upper bound for the
Hawking temperature. Finally we show that, in agreement with the general theory
of cut off functions, a regular deSitter core accounting for the energy density
of virtual gravitons replaces the curvature singularity only in the case of
entire functions of order 1/2 or higher.

View original: http://arxiv.org/abs/1202.2102