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Energy Associated with a Static Spherically Symmetric Nonsingular Space-Time

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We evaluate the energy distributions of the Dymnikova static, spherically symmetric, non-singular space-time using the Weinberg, Papapetrou, and Møller energy-momentum complexes. This result supports the importance of the energy-momentum complexes for the evaluation of the energy distribution of a given space-time. Comparing the energy distributions obtained using several definitions, these results show that, in Cartesian coordinates, the energy associated with the definitions of Einstein, Tolman, and Weinberg are the same, but the Papapetrou definition gives a different value. The Møller energy-momentum complex, which can be evaluated in spherical coordinates, is different again from all of these.

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