Brane world black holes in teleparallel theory equivalent to general relativity and their Killing vectors, energy, momentum and angular momentum

The energy--momentum tensor, which is coordinate-independent, isused to calculate energy, momentum and angular momentum of twodifferent tetrad fields. Although, the two tetrad fields reproducethe same space--time their energies are different. Therefore, aregularized expression of the gravitational energy--momentum tensorof the teleparallel equivalent of general relativity (TEGR), isused to make the energies of the two tetrad fields equal. Thedefinition of the gravitational energy--momentum is used toinvestigate the energy within the external event horizon. Thecomponents of angular momentum associated with these space--timesare calculated. In spite of using a static space--time, we geta non-zero component of angular momentum! Therefore, we derivethe Killing vectors associated with these space--times using thedefinition of the Lie derivative of a second rank tensor in theframework of the TEGR to make the picture more clear.