Noncommutative Schwarzschild Black Hole and Area Law

Details Noncommutative Schwarzschild Black Hole and Area Law Noncommutative Schwarzschild Black Hole and Area Law

2008-02-15

arxiv.org/abs/0802.2176v2

Class.Quant.Grav.26:085010,2009

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, 8 figures, refs. added, minor modifications, to appear in Class. Quant. Grav

Scientific paper

10.1088/0264-9381/26/8/085010

Using a graphical analysis, we show that for the horizon radius $r_h\gtrsim 4.8\sqrt\theta$, the standard semiclassical Bekenstein-Hawking area law for noncommutative Schwarzschild black hole exactly holds for all orders of $\theta$. We also give the corrections to the area law to get the exact nature of the Bekenstein-Hawking entropy when $r_h<4.8\sqrt\theta$ till the extremal point $r_h=3.0\sqrt{\theta}$.

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