Matching Condition on the Event Horizon and Holography Principle

It is shown that the event horizon of 4D black hole or ds2 = 0 surfaces of multidimensional wormhole-like solutions reduce the amount of information necessary for determining the whole spacetime and hence satisfy the Holography principle. This leads to the fact that by matching two metrics on a ds2 = 0 surface (an event horizon for 4D black holes) we can match only the metric components but not their derivatives. For example, this allows us to obtain a composite wormhole inserting a 5D wormhole-like flux tube between two Reissner-Nordström black holes and matching them on the event horizon. Using the Holography principle, the entropy of a black hole from the algorithm theory is obtained. Typeset using REVTEX E-Mail Address : [email protected] and [email protected] 1