Suppose one is not happy with Newton's law of gravitation and finds that it should be modified and that one has an equation describing the gravitational potential(adsbygoogle = window.adsbygoogle || []).push({});

[tex] \phi [/tex] in function of radius. If one then want to obtain a relativistic description, would it be sufficient to replace in the Schwarzschild metric the term(s)

[tex]

\left(\ 1 - \frac {2 G M} {c^2 r} \right)

[/tex]

by

[tex]

\left(\ 1 + \frac {2 \phi} {c^2 } \right)

[/tex]

or would that be to simplistic?

Rudi Van Nieuwenhove

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# Modified gravitation ; how to make it relativistic ?

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