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  • entropic gravity resulting from a yukawa type of correction to the metric for a solar mass black hole

    جزئیات بیشتر مقاله
    • تاریخ ارائه: 1392/07/24
    • تاریخ انتشار در تی پی بین: 1392/07/24
    • تعداد بازدید: 1089
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    • شماره تماس دبیرخانه رویداد: -
     there has been a renewed interest in the recent years in the possibility of deviations from the predictions of newton’s “inverse-square law” of universal gravitation. one of the reasons for renewing this interest lies in various theoretical attempts to construct a unified elementary particle theory, in which there is a natural prediction of new forces over macroscopic distances. in this paper we study the entropic gravity correction to the gravitational force on the horizon of a black hole whose metric has been modified by a yukawa term. we find that the gravitational radius of such a black hole is given in-terms of the lambert function, and the entropic force introduces a extra term that depends on the square of the coupling constant α of the yukawa potential. in the case alpha equals zero we recover the newtonian gravitational force on the horizon. in a first effort to obtain a relation between geometry and information, we calculate the ricci scalar and through entropy we establish a relation to the number of information n where this is given in nats. finally, we calculate a critical entropy value as well as a critical information number n c for which the curvature becomes identically zero which implies that the space becomes flat.

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