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The Embedded Horizon is defined to be a horizon that is in equilibrium withthe exterior of the black hole, that is, isolated on the outside, butdynamically evolving on the inside, analogous to the inner and outer eventhorizons of the Reissner-Nordstrom black hole. This is shown as the result ofcharge variance on the horizon, which is expressed in electrical angularcoordinates. The mass and energy of the black hole are discussed. The intrinsicmetric is calculated by taking the electric potential into consideration. Anarea law evolution law is formulated, which suggests that the inner dynamicalhorizon evolves until it reaches the radius of the isolated horizon. Thedynamical horizon, then, reaches equilibrium with the exterior, turning into anisolated horizon, thus turning extremal.

Charged Embedded Horizons and their Area Evolution