In the Newtonian theory of cosmological perturbations, a density excess ##\delta\rho## in a localised region of spacetime leads to the equation of motion ##\ddot{\delta\rho} \sim G\delta\rho##. I can see that this follows directly from Newton's gravitational law.(adsbygoogle = window.adsbygoogle || []).push({});

Why does this equation lead to an exponential instability of flat spacetime to the development of fluctuations?

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# A Newtonian theory of cosmological perturbations

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