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An important class of conformally flat weak Einstein cubic (α,β)-metrics

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The theory of cubic metrics plays an important role in the theory of space-time structure, gravitation and unified gauge field theories. In this paper, we study conformally flat weak Einstein… Click to show full abstract

The theory of cubic metrics plays an important role in the theory of space-time structure, gravitation and unified gauge field theories. In this paper, we study conformally flat weak Einstein cubic [Formula: see text]-metrics. We prove that such metrics must be either locally Minkowski metric or Riemannian metric.

Keywords: conformally flat; einstein cubic; weak einstein; flat weak; cubic metrics

Journal Title: International Journal of Geometric Methods in Modern Physics
Year Published: 2019

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