Next Article in Journal
A Comment on the Relation between Diffraction and Entropy
Next Article in Special Issue
On Chirality of the Vorticity of the Universe
Previous Article in Journal
Open Problems on Information and Feedback Controlled Systems
Entropy 2012, 14(5), 848-855; doi:10.3390/e14050848

A Phase Space Diagram for Gravity

Instituto de Astronomía, Universidad Nacional ónoma de México, AP 70-264, Distrito Federal 04510, México
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)
Download PDF [108 KB, uploaded 24 February 2015]


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.

Share & Cite This Article

Further Mendeley | CiteULike
Export to BibTeX |
MDPI and ACS Style

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

View more citation formats

Related Articles

Article Metrics

For more information on the journal, click here


Cited By

[Return to top]
Entropy EISSN 1099-4300 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert