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We study various definitions of the gravitational field energy based on theusage of isometric embeddings in the Regge-Teitelboim approach. For theembedding theory we consider the coordinate translations on the surface as wellas the coordinate translations in the flat bulk. In the latter case theindependent definition of gravitational energy-momentum tensor appears as aNoether current corresponding to global inner symmetry. In the field-theoreticform of this approach (splitting theory) we consider Noether procedure and thealternative method of energy-momentum tensor defining by varying the action ofthe theory with respect to flat bulk metric. As a result we obtain energydefinition in field-theoretic form of embedding theory which, among the otherfeatures, gives a nontrivial result for the solutions of embedding theory whichare also solutions of Einstein equations. The question of energy localizationis also discussed.

Gravitational energy in the framework of embedding and splitting theories