Noncommutative Schwarzschild Black Hole and Area Law
arXiv:0802.2176 · doi:10.1088/0264-9381/26/8/085010
Abstract
Using a graphical analysis, we show that for the horizon radius $r_h\gtrsim 4.8\sqrtθ$, the standard semiclassical Bekenstein-Hawking area law for noncommutative Schwarzschild black hole exactly holds for all orders of $θ$. We also give the corrections to the area law to get the exact nature of the Bekenstein-Hawking entropy when $r_h<4.8\sqrtθ$ till the extremal point $r_h=3.0\sqrtθ$.
11 pages, 8 figures, refs. added, minor modifications, to appear in Class. Quant. Grav