Relocalization of Total Conserved Charge for Schwarzschild-AdS Spacetime

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We use a tetrad field that his associated metric gives Schwarzschild-AdS spacetime. This tetrad constructed from a diagonal tetrad, which is the square root of Schwarzschild-Ads metric and two other local Lorentz transformations. One of these transformations is a special case of Euler angles and the other is a boost transformation. We then apply the approach of invariant conserved currents to calculate the conserved quantity of Schwarzschild-Ads. Such approach needs a regularization to give the correct result. Therefore, a relocalization procedure is used to calculate the total conserved charge. This procedure leads to physical results in terms of total energy. © 2013 Springer Science+Business Media New York.

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