An Approximation Method to Solve Einstein's Field Equations on a Curved Background Metric

Physics

Scientific paper

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Scientific paper

An approximation method is developed to calculate the gravitational field of a matter source T μν moving on a curved background metric that is an exact solution of the field equations and deviates only weakly from flat space-time. The field h μν of the source T μν is supposed to be much smaller than the curved part of the background, so that in the series expansion of h μν each order can be expanded in powers of the background.

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