Horizon area spectrum and entropy spectrum of a noncommutative geometry inspired regular black hole in three dimensions
Jun Liang;College of Science,Shannxi University of Science and Technology;
By employing an adiabatic invariant and implementing the Bohr Sommerfield quantization rule, I study the quantization of a regular black hole in spired by noncommutative geometry in AdS3 spacetime. The entropy spectrum as well as the horizon area spectrum of the black hole is obtained. It is shown that the spectra are discrete, and the spacing of the entropy spectrum is equidistant; in the limit r2 h 4θ 1, the area spectrum depends on the noncommutative parameter and the cos mological constant, but the spacing of the area spectrum is equidistant up to leading order √ θe 2Ml2 θ in θ, and is independent of the noncommutative parameter and the cosmological constant.


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