Inconsistence of non-singular spherically symmetric solution and a satisfactory energy-momentum complex

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Two spherically symmetric non-singular black hole solutions in Møller tetrad theory of gravitation have been obtained. Although the two solutions have the same form of metric (spherically symmetric nonsingular black hole), their energy contents are different. We use another method given by Gibbons and Hawking to calculate the energy content of these solutions. We also obtained different value of energy. Study the requirements of a satisfactory energy- momentum complex given by Møller we find that the second solution, which behaves as 1/√r, is not transformed as a four-vector under Lorentz transformation. © Chinese Physical Society and IOP Publishing Ltd.

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