Authors: Jaekwang Lee
According to Noether's theorem, for every differentiable symmetry of action, there exists a 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. If we consider charge as a conserved quantity, it means existence of symmetry, and we can consider one more axis. In this paper, we consider an extension to five dimensions by using results of the ADM formalism. In terms of (4+1) decomposition, with an alternative surface integral, we find the rotating and charged five-dimensional metric solution and check whether it gives the mass, charge, and angular momentum exactly.
Comments: 13 Pages.
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