Area spectrum of rotating black holes via the new interpretation of quasinormal modes

Motivated by the recent work on a new physical interpretation of quasinormal modes by Maggiore, we utilize this new proposal to the interesting case of Kerr black hole. In particular, by modifying Hod's idea, the resulting black hole horizon area is quantized and the resulting area quantum is in full agreement with Bekenstein's result. Furthermore, in an attempt to show that the area spectrum is equally spaced, we follow Kunstatter's method. We propose a new interpretation as a result of Maggiore's idea, for the frequency that appears in the adiabatic invariant of a black hole. The derived area spectrum is similar to that of the quantum-corrected Kerr black hole but it is not equally spaced.Comment: v1: 4 pages, REVTeX, no figures; v2: clarifications and comments added, comments on last result modified, Abstract slightly changed; v3: comments and references added

Quantum aether and an invariant Planck scale

We argue that a quantum aether is consistent with the principle of relativity and can provide an economical way of having an invariant quantum gravity or Planck scale. We also show that it may change the effective scale at which quantum gravity effects may be observable.Comment: 3 pages, LaTeX, no figures, to appear in EP

Reply to "Comment on 'Universality of Quantum Gravity Corrections' "

We address the three points raised by the authors of the above Comment.Comment: 1 page, LaTeX, to appear in Phys.Rev.Lett

Black holes with constant topological Euler density

A class of four dimensional spherically symmetric and static geometries with constant topological Euler density is studied. These geometries are shown to solve the coupled Einstein-Maxwell system when non-linear Born-Infeld-like electrodynamics is employed.Comment: 7 pages, REVTeX 4, 1 figure, to appear in EP