61,035 research outputs found
Thoughts on entropic gravity in the Parikh-Wilczek tunneling model of Hawking radiation
In this letter, we use the Parikh-Wilczek tunneling model of Hawking
radiation to illustrate that a reformulation of Verlinde's entropic gravity is
needed to derive the Newton's law for a temperature-varying screen, demanded by
the conservation of energy. Furthermore, the entropy stored in the holographic
screen is shown to be additive and its temperature dependence can be obtained.Comment: 5 pages, 1 figure, version submitted to EPJ
Nonthermal correction to black hole spectroscopy
Area spectrum of black holes have been obtained via various methods such as
quasinormal modes, adiabatic invariance and angular momentum. Among those
methods, calculations were done by assuming black holes in thermal equilibrium.
Nevertheless, black holes in the asymptotically flat space usually have
negative specific heat and therefore tend to stay away from thermal
equilibrium. Even for those black holes with positive specific heat,
temperature may still not be well defined in the process of radiation, due to
the back reaction of decreasing mass. Respect to these facts, it is very likely
that Hawking radiation is nonthermal and the area spectrum is no longer
equidistant. In this note, we would like to illustrate how the area spectrum of
black holes is corrected by this nonthermal effect.Comment: 12 pages, revtex
Finiteness of Entanglement Entropy in Quantum Black Hole
A logarithmic but divergent term usually appears in the computation of
entanglement entropy circumferencing a black hole, while the leading quantum
correction to the Bekenstein-Hawking entropy also takes the logarithmic form. A
quench model of CFT within finite Euclidean time was proposed in the
\cite{Kuwakino:2014nra} to regard this logarithmic term as entanglement between
radiation and the black hole, and this proposal was justified by the
alternative sign for -partite quantum information. However, this preliminary
form suffers from the notorious divergence at its low temperature limit. In
this letter, we propose a modified form for black hole entanglement entropy
such that the divergence sickness can be cured. We discuss the final stage of
black hole due to this modification and its relation to R{\`e}nyi entropy,
higher loop quantum correction and higher spin black holes.Comment: 8 pages, version submitted to EP
Black hole remnant in asymptotic Anti-de Sitter space
It is known that a solution of remnant were suggested for black hole ground
state after surface gravity is corrected by loop quantum effect. On the other
hand, a Schwarzschild black hole in asymptotic Anti-de Sitter space would
tunnel into the thermal soliton solution known as the Hawking-Page phase
transition. In this letter, we investigate the low temperature phase of
three-dimensional BTZ black hole and four-dimensional AdS Schwarzschild black
hole. We find that the thermal soliton is energetically favored than the
remnant solution at low temperature in three dimensions, while Planck-size
remnant is still possible in four dimensions. Though the BTZ remnant seems
energetically disfavored, we argue that it is still possible to be found in the
overcooled phase if strings were present and its implication is discussed.Comment: 13 pages, 5 figures, submitted versio
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