Stationary solutions, energy, and the Bel-Robinson tensor

Physics

Scientific paper

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Einstein Equations, Field Theory (Physics), Gravitational Fields, Relativity, Space-Time Functions, Tensor Analysis, Dimensional Analysis, Kinetic Energy, Linearization, Potential Energy, Vector Analysis

Scientific paper

The absence of stationary source-free solutions and the positive energy
problem in general relativity are discussed at the linearized level in
terms of the Bel-Robinson (1958) tensor. The possibility is raised that
there may exist stationary solutions to the full Einstein equations in
five dimensions.

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