Identities and conservation laws in relativistic Schrödinger theory.

Mathematics – Logic

Scientific paper

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Cosmology: Robertson-Walker Metric

Scientific paper

The theory of relativistic Schrödinger equations is further extended to include also non-conservation of the rest mass of a material system due to particle creation (annihilation). The corresponding (non-)conservation laws are discussed in detail, together with their close interrelationship to the basic identities of the theory (Fierz, Bianchi, and bundle identities). As a demonstration of the general theory, the cosmological solutions of the Einstein-Yang-Mills-Higgs equations are constructed over the Robertson-Walker universes.

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