Quantum Radiation of General Nonstationary Black Holes
Jia-Chen Hua (1), Yong-Chang Huang (2, 3) ((1) Department of Physics,, New Mexico State University, Las Cruces, New Mexico, U.S.A., (2) Institute of, Theoretical Physics, Beijing University of Technology, Beijing, P. R. China,, (3) CCAST (World Lab.), Beijing, P. R. China)

TL;DR
This paper investigates the quantum radiation properties of nonstationary black holes, revealing how their temperature and horizon shape depend on time and angles, and establishing a relationship between thermal and non-thermal radiation spectra.
Contribution
It introduces a generalized method to analyze quantum radiation of nonstationary black holes and uncovers a novel link between thermal and non-thermal radiation spectra.
Findings
Black hole temperature depends on time and angles.
A relationship between thermal and non-thermal radiation spectra is established.
Results are applicable to various specific black hole conditions.
Abstract
This paper has been withdrawn by the authors. Quantum radiative characteristics of 4D semi-classical nonstationary black holes in the general case are investigated by using the method of generalized tortoise coordinate transformation. It is generally shown that the temperature and the shape of the event horizon of this kind of black holes depend on both the time and different angles. Further, we discover that there is a certain relationship that is ignored before between thermal radiation and non-thermal radiation of black holes, which is that the chemical potential in thermal radiation spectrum is equal to the highest energy of the negative energy state of particles in non-thermal radiation for 4D semi-classical nonstationary black holes. Also, we show that the deduced general results can be applied to different concrete conditions.
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