Instability of the planetary orbits for space-time dimensions higher than four

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

Scientific paper

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Scientific paper

It is shown that in a Minkowski space of total space-time dimension $D=d+1$,
the orbits of the planetary motion are stable only if the total dimension of
space-time is $D\le 4$. The proof is performed in a fully didactic way.

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