Quantum Radiation of Uniformly Accelerated Spherical Mirrors

Details Quantum Radiation of Uniformly Accelerated Spherical Mirrors Quantum Radiation of Uniformly Accelerated Spherical Mirrors

2001-03-20

arxiv.org/abs/gr-qc/0103071v2

Class.Quant.Grav. 18 (2001) 3025-3038

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

17 pages, no figures, new references added

Scientific paper

10.1088/0264-9381/18/15/316

We study quantum radiation generated by a uniformly accelerated motion of small spherical mirrors. To obtain Green's function for a scalar massless field we use Wick's rotation. In the Euclidean domain the problem is reduced to finding an electric potential in 4D flat space in the presence of a metallic toroidal boundary. The latter problem is solved by a separation of variables. After performing an inverse Wick's rotation we obtain the Hadamard function in the wave-zone regime and use it to calculate the vacuum fluctuations and the vacuum expectation for the energy density flux in the wave zone.

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