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Xiao-Xiong Zeng

Publications and source records attributed to Xiao-Xiong Zeng.

95 records · Page 6Linked to original sources

Spectroscopy of a Reissner-Nordström black hole via an action variable

With the help of the Bohr--Sommerfeld quantization rule, the area spectrum of a charged, spherically symmetric spacetime is obtained by studying an adiabatic invariant action variable. The period of the Einstein-Maxwell system, which is related to the surface gravity of a given spacetime, is determined by the Kruskal--like coordinates. It is shown that the area spectrum of the Reissner-Nordström black hole is evenly spaced and the spacing is the same as that of a Schwarzschild black hole, which indicates that the area spectrum of a black hole is independent of its parameters. In contrast to the quasi-normal mode analysis, we do not impose the small charge limit as the general area gap $8π$ is obtained.

gr-qc↗

Spectroscopy of the rotating BTZ black hole via adiabatic invariance

According to Bohr-Sommerfeld quantization rule, an equally spaced horizon area spectrum of a static, spherically symmetric black hole was obtained under an adiabatic invariant action. This method can be extended to the rotating black holes. As an example, we apply this method to the rotating BTZ black hole and obtain the quantized spectrum of the horizon area. It is shown that the area spectrum of the rotating BTZ black hole is equally spaced and irrelevant to the rotating parameter, which is consistent with the Bekenstein conjecture. Specifically, the derivation do not need the quasinormal frequencies and the small angular momentum limit.

gr-qc↗

Hawking radiation via Landauer transport model

Recently, Nation et al confirmed that fluxes of Hawking radiation energy and entropy from a black hole can be regarded as a one-dimensional (1D) Landauer transport process. Their work can be extended to background spacetimes with gauge potential. The result shows that the energy flux, which is indicated to be equal to the energy-momentum tensor flux, contains not only the contribution of thermal flux but also that of particle flux. We find that the charge can also be regarded as transporting via a 1D quantum channel and the charge flux is equal to the gauge flux.

gr-qc↗

Hawking radiation from a BTZ black hole viewed as Landauer transport

Viewing Hawking radiation as a 1D single quantum channel Landauer transport process, Nation et al calculated the energy flux and entropy flux from a Schwarzschild black hole without chemical potential. To generalize the method to the case with chemical potential, a rotating charged and non-charged BTZ black hole is investigated. Energy flux and entropy flux obtained are consistent with that from anomaly theory. The maximum energy flux and entropy flux are independent on the statistics of bosons or fermions.

gr-qc↗

Landauer transport model for Hawking radiation from a Reissner-Nordstrom black hole

The recent work of Nation et al in which Hawking radiation energy and entropy flow from a black hole can be regarded as a one-dimensional (1D) Landauer transport process is extended to the case of a Reissner-Nordstrom (RN) black hole. It is found that the flow of charge current can also be transported via a 1D quantum channel except the current of Hawking radiation. The maximum entropy current, which is shown to be particle statistics independence, is also obtained.

gr-qc↗