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Evaporation of 2-Dimensional Black Holes | | Abhay Ashtekar
; Frans Pretorius
; Fethi M. Ramazanoğlu
; | | Date: |
1 Dec 2010 | | Abstract: | We present a detailed analysis of results from a new study of the quantum
evaporation of Callan-Giddings-Harvey-Strominger (CGHS) black holes within the
mean field approximation. This semi-classical theory incorporates back
reaction. Our analytical and numerical calculations show that, while some of
the assumptions underlying the standard evaporation paradigm are borne out,
several are not. One of the anticipated properties we confirm is that the
semi-classical space-time is asymptotically flat at right future null infinity,
$spr$, yet incomplete in the sense that null observers reach a future Cauchy
horizon in finite affine time. Unexpected behavior includes that the Bondi mass
traditionally used in the literature can become negative even when the area of
the horizon is macroscopic; an improved Bondi mass remains positive until the
end of semi-classical evaporation, yet the final value can be arbitrarily large
relative to the Planck mass; and the flux of the quantum radiation at $spr$ is
non-thermal even when the horizon area is large compared to the Planck scale.
Furthermore, if the black hole is initially macroscopic, the evaporation
process exhibits remarkable universal properties. Although the literature on
CGHS black holes is quite rich, these features had escaped previous analyses,
in part because of lack of required numerical precision, and in part due to
misinterpretation of certain properties and symmetries of the model. Finally,
our results provide support for the full quantum scenario recently developed by
Ashtekar, Taveras and Varadarajan, and also offer a number of interesting
problems to the mathematical relativity and geometric analysis communities. | | Source: | arXiv, 1012.0077 | | Services: | Forum | Review | PDF | Favorites | |
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