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Hilbert Space Representation of the Minimal Length Uncertainty Relation
A. Kempf, G. Mangano, R. B. Mann
The existence of a minimal observable length has long been suggested, in quantum gravity, as well as in string theory. In this context a generalized uncertainty relation has been d…
Inflationary Behaviour in Axial-symmetric Gravitational Collapse
J. S. F. Chan, R. B. Mann
We show that the interior of a charged, spinning black hole formed from a general axially symmetric gravitational collapse is unstable to inflation of both its mass and angular mom…
Inside a Spinning Black String
J. S. F. Chan, R. B. Mann
We show that mass inflation occurs inside spinning black cosmic string, which is a solution of a low-energy effective string theory in -dimensions. This confirms Poisson and…
Infinite Blueshift of Charged Null Particles
R. B. Mann, W. N. Sajko
We demonstrate that charged null particles can be infinitely blue\-shifted in a Kerr-Newman spacetime. The surface of infinite blueshift can be outside of the ergosphere in a Kerr-…
Temperature, Energy, and Heat Capacity of Asymptotically Anti-De Sitter Black Holes
J. D. Brown, J. Creighton, R. B. Mann
We investigate the thermodynamical properties of black holes in (3+1) and (2+1) dimensional Einstein gravity with a negative cosmological constant. In each case, the thermodynamic…
Classical and Quantum Properties of Liouville Black Holes
R. B. Mann
Black hole spacetimes can arise when a Liouville field is coupled to two- dimensional gravity. Exact solutions are obtained both classically and when quantum corrections due to bac…