The quantum thermal effect of a non-uniformly rectilinearly accelerating Kerr black hole

Statistics – Computation

Scientific paper

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Black Holes (Astronomy), Quantum Theory, Acceleration (Physics), Computational Astrophysics, Temperature Dependence

Scientific paper

Using a new method, the radiative temperature and the event horizon equation of a nonuniformly rectilinearly accelerating and nonstationary Kerr black hole are given without calculating the vacuum expectation values of the renormalized energy-momentum tensor. The temperature is not only dependent on the time, but also on the angle. The location of the event horizon depends on the time, and its shape is not spherically symmetric. With the generalized tortoise coordinate, the Klein-Gordon equation can be reduced to the standard wave equation around the event horizon. The outgoing wave is not analytical, but it can be extended from the outside of a black hole into the inside by analytical continuation through the lower half complex plane. The relative scattering probability of the outgoing wave at the horizon is shown, and the spectrum of the Hawking radiation is given.

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