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Entropy 2012, 14(5), 848-855; doi:10.3390/e14050848

A Phase Space Diagram for Gravity

Received: 20 March 2012 / Revised: 18 April 2012 / Accepted: 18 April 2012 / Published: 4 May 2012
(This article belongs to the Special Issue Modified Gravity: From Black Holes Entropy to Current Cosmology)
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Abstract: In modified theories of gravity including a critical acceleration scale a0, a critical length scale rM = (GM/a0)1/2 will naturally arise with the transition from the Newtonian to the dark matter mimicking regime occurring for systems larger than rM. This adds a second critical scale to gravity, in addition to the one introduced by the criterion v < c of the Schwarzschild radius, rS = 2GM/c2. 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.
Keywords: modified theories of gravity; dark energy; cosmology modified theories of gravity; dark energy; cosmology
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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MDPI and ACS Style

Hernandez, X. A Phase Space Diagram for Gravity. Entropy 2012, 14, 848-855.

AMA Style

Hernandez X. A Phase Space Diagram for Gravity. Entropy. 2012; 14(5):848-855.

Chicago/Turabian Style

Hernandez, Xavier. 2012. "A Phase Space Diagram for Gravity." Entropy 14, no. 5: 848-855.

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