Some aspects of entropic gravity in the presence of a noncommutative Schwarzschild-deSitter black hole
arXiv:1303.4965 · doi:10.1007/s10509-013-1413-6
Abstract
We study some features of entropic force approach in the presence of a noncommutative Schwarzschild-deSitter black hole. In this setup, there exists a similarity between the small and large scales. There are two finite cut-off in very short and long distances wherein the force and energy graph stop abruptly at those scales. We find that the existence of a deSitter core around the origin, induced by noncommutativity, in addition to a standard deSitter background at large scale may lead to a violation of the equivalence principle. Finally in order to directly observe the finite cut-off at short-scale gravity, caused by noncommutativity quantum fluctuations, we derive an effective gravitational constant.
14 pages, 4 figures, to appear in Astrophysics and Space Science
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