Matching Condition on the Event Horizon and the Hologram Principle

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