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Matching Condition on the Event Horizon and the Holography Principle

V. Dzhunushaliev
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Abstract

It is shown that the event horizon of 4D black hole or $ds^2 = 0$ 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 $ds^2 = 0$ 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.

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V. Dzhunushaliev. 2000-04-17. Matching Condition on the Event Horizon and the Holography Principle. https://doi.org/10.1142/s0218271800000554

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