Kretschmann Invariant and Relations Between Spacetime Singularities, Entropy and Information

摘要

Using a yukawa type of metric we derive the kretschmann scalar for a generalstatic black hole of a certain mass. The scalar gives the curvature of thespace time as a function of the radial distance in the vicinity as well asinside of the black hole. Furthermore, the kretschmann scalar helps usunderstand the appearance of the black hole as a whole entity. It can beapplied in solar mass size black holes, neutron stars or super massive blackholes at the center of various galaxies. In an effort to investigate theconnection of geometry to entropy and information, the kretschmann scalar for asolar mass yukawa schwarzschild and simple schwarzschild black holes arederived. Moreover, the dependence of the curvature on the entropy and number ofinformation in nats is derived.