Generalized uncertainty principle and black holes in higher dimensional self-complete gravity

Black Holes in Higher-dimensional Gravity *

These lectures review some of the recent progress in uncovering the phase structure of black hole solutions in higher-dimensional vacuum Einstein gravity. The two classes on which we focus are Kaluza-Klein black holes, i.e. static solutions with an event horizon in asymptotically flat spaces with compact directions, and stationary solutions with an event horizon in asymptotically flat space. Hi...

Horizon Quantum Mechanics of Generalized Uncertainty Principle Black Holes

We study the Horizon Wavefunction (HWF) description of a generalized uncertainty principle inspired metric that admits sub-Planckian black holes, where the black hole mass m is replaced by M = m ( 1 + β2 M2 Pl m2 ) . Considering the case of a wave-packet shaped by a Gaussian distribution, we compute the HWF and the probability PBH that the source is a (quantum) black hole, i.e. that it lies wit...

Black holes in higher-derivative gravity theories.

We study static spherically symmetric solutions of Einstein gravity plus an action polynomial in the Ricci scalar, R, of arbitrary degree, n, in arbitrary dimension, D. The global properties of all such solutions are derived by studying the phase space of field equations in the equivalent theory of gravity coupled to a scalar field, which is obtained by a field redefinition and conformal transf...

A Generalized Uncertainty Principle in Quantum Gravity

We discuss a Gedanken experiment for the measurement of the area of the apparent horizon of a black hole in quantum gravity. Using rather general and model-independent considerations we find a generalized uncertainty principle which agrees with a similar result obtained in the framework of string theories. The result indicates that a minimum length of the order of the Planck length emerges natu...

Black holes in three-dimensional topological gravity.