ar X iv : g r - qc / 0 01 20 66 v 3 1 1 O ct 2 00 1 Spectrum of Charged Black Holes – The Big Fix Mechanism Revisited
نویسنده
چکیده
Following an earlier suggestion of the authors (gr-qc/9607030), we use some basic properties of Euclidean black hole thermodynamics and the quantum mechanics of systems with periodic phase space coordinate to derive the discrete two-parameter area spectrum of generic charged spherically symmetric black holes in any dimension. For the Reissner-Nordstrom black hole we get A/4G¯ h = π(2n + p + 1), where the integer p = 0, 1, 2, .. gives the charge spectrum, with Q = ± √ ¯ hp. The quantity π(2n + 1), n = 0, 1, ... gives a measure of the excess of the mass/energy over the critical minimum (i.e. extremal) value allowed for a given fixed charge Q. The classical critical bound cannot be saturated due to vacuum fluctuations of the horizon, so that generically extremal black holes do not appear in the physical spectrum. Consistency also requires the black hole charge to be an integer multiple of any fundamental elementary particle charge: Q = ±me, m = 0, 1, 2, .... As a by-product this yields a relation between the fine structure constant and integer parameters of the black hole – a kind of the Coleman big fix mechanism induced by black holes. In four dimensions, this relationship is e 2 /¯ h = p/m 2 and requires the fine structure constant to be a rational number. Finally, we prove that the horizon area is an adiabatic invariant, as has been conjectured previously.
منابع مشابه
ar X iv : g r - qc / 0 01 20 66 v 2 3 1 Ja n 20 01 Spectrum of Charged Black Holes – The Big Fix Mechanism Revisited
Following an earlier suggestion of the authors(gr-qc/9607030), we use some basic properties of Euclidean black hole thermodynamics and the quantum mechanics of systems with periodic phase space coordinate to derive the discrete two-parameter area spectrum of generic charged spherically symmetric black holes in any dimension. For the Reissner-Nordstrom black hole we get A/4G¯ h = π(2n + p + 1), ...
متن کاملar X iv : g r - qc / 0 51 01 01 v 1 2 3 O ct 2 00 5 Accelerated black holes in an anti - de Sitter universe
The C-metric is one of few known exact solutions of Einstein's field equations which describes the gravitational field of moving sources. For a vanishing or positive cosmological constant, the C-metric represents two accelerated black holes in asymptotically flat or de Sitter spacetime. For a negative cosmological constant the structure of the spacetime is more complicated. Depending on the val...
متن کاملar X iv : g r - qc / 0 51 01 27 v 1 3 1 O ct 2 00 5 Imprints of Spacetime Topology in the Hawking - Unruh Effect
متن کامل
ar X iv : g r - qc / 0 00 10 28 v 1 1 1 Ja n 20 00 Finite Temperature Field Theory of “ Extreme Black Holes ”
We treat the model which describes “extreme black holes” moving slowly. We derive an effective lagrangian in the low energy for this model and then investigate a statistical behavior of “extreme black holes” in the finite temperature.
متن کاملar X iv : g r - qc / 0 11 20 07 v 1 7 D ec 2 00 1 Report on A 5 . Computer Methods
Session A5 on numerical methods contained talks on colliding black holes, critical phenomena, investigation of singularities, and computer algebra .
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2001