460 research outputs found
Revisit emission spectrum and entropy quantum of the Reissner-Nordstr\"{o}m black hole
Banerjee and Majhi's recent work shows that black hole's emission spectrum
could be fully reproduced in the tunneling picture, where, as an intriguing
technique, the Kruskal extension was introduced to connect the left and right
modes inside and outside the horizon. Some attempt, as an extension, was
focused on producing the Hawking emission spectrum of the (charged)
Reissner-Nordstr\"{o}m black hole in the Banerjee-Majhi's treatment.
Unfortunately, the Kruskal extension in their observation was so badly defined
that the ingoing mode was classically forbidden traveling towards the center of
black hole, but could quantum tunnel across the horizon with the probability
. This tunneling picture is unphysical. With
this point as a central motivation, in this paper we first introduce such a
suitable Kruskal extension for the (charged) Reissner-Nordstr\"{o}m black hole
that a perfect tunneling picture can be provided during the charged particle's
emission. Then, under the new Kruskal extension, we revisit the Hawking
emission spectrum and entropy spectroscopy as tunneling from the charged black
hole. The result shows that the tunneling method is so universally robust that
the Hawking blackbody emission spectrum from a charged black hole can be well
reproduced in the tunneling mechanism, and its induced entropy quantum is a
much better approximation for the forthcoming quantum gravity theory.Comment: 7 page
On black hole spectroscopy via adiabatic invariance
In this paper, we obtain the black hole spectroscopy by combining the black
hole property of adiabaticity and the oscillating velocity of the black hole
horizon. This velocity is obtained in the tunneling framework. In particular,
we declare, if requiring canonical invariance, the adiabatic invariant quantity
should be of the covariant form . Using it,
the horizon area of a Schwarzschild black hole is quantized independent of the
choice of coordinates, with an equally spaced spectroscopy always given by
in the Schwarzschild and Painlev\'{e}
coordinates.Comment: 13 pages, some references added, to be published in Phys. Lett.
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