Momentum transfer in gravitation theory

Mathematics

Scientific paper

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Gravitation Theory, Momentum Transfer, Newton Theory, Relativity, Integral Equations, Operators (Mathematics), Space-Time Functions, Vectors (Mathematics)

Scientific paper

An inductive flux of gravitational momentum in Newtonian theory, and a radiative flux of gravitational momentum in general relativity, while being physically dissimilar quantities, are shown to be formally equivalent by expressing them in terms of a symplectic form on the solution space of the respective field equations. The conditions under which the relativistic flux may be considered inductive are then investigated, and a physical example of how this might occur is given in the setting of a strongly curved spacetime.

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