Authors: Jaekwang Lee
According to Noether's theorem, for every continuous symmetry of the action, there exists corresponding conserved quantity. If we assume the stationary condition as a role of symmetry, there is a conserved quantity. By using the definition of the Komar mass, one can calculate the mass in a curved spacetime. However, it fails to give the mass for the well-known charged 4D black hole such as Kerr-Newman black hole. In this paper, to solve this problem, we consider an extension to 5-dimensions by using results of ADM formalism. In terms of (4+1) decomposition, with alternative surface integral, we find the rotating and charged 5D metric solution and check whether it gives the mass, charge and angular momentum exactly
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