A Phase Space Diagram for Gravity

Author： Hernandez Xavier  

Publisher： MDPI

E-ISSN： 1099-4300|14|5|848-855

ISSN： 1099-4300

Source： Entropy, Vol.14, Iss.5, 2012-05, pp. : 848-855

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Abstract

In modified theories of gravity including a critical acceleration scale a 0 , a critical length scale r M = ( G M / a 0 ) 1 / 2 will naturally arise with the transition from the Newtonian to the dark matter mimicking regime occurring for systems larger than r M . This adds a second critical scale to gravity, in addition to the one introduced by the criterion v < c of the Schwarzschild radius, r S = 2 G M / c 2 . The distinct dependencies of the two above length scales give rise to non-trivial phenomenology in the (mass, length) plane for astrophysical structures, which we explore here. Surprisingly, extrapolation to atomic scales suggests gravity should be at the dark matter mimicking regime there.

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