Generalizing the Cosmic Energy Equation

Details Generalizing the Cosmic Energy Equation Generalizing the Cosmic Energy Equation

2010-10-29

arxiv.org/abs/1010.6205v3

Phys.Rev.D82:101503,2010

Astronomy and Astrophysics

Astrophysics

Cosmology and Extragalactic Astrophysics

11 pages; technical issue in the previous submission corrected; version to match publication in Phys. Rev. D [Rapid Communicat

Scientific paper

10.1103/PhysRevD.82.101503

We generalize the cosmic energy equation to the case when massive particles interact via a modified gravitational potential of the form phi(a, r), which is allowed to explicitly depend upon the cosmological time through the expansion factor a(t). Using the nonrelativistic approximation for particle dynamics, we derive the equation for the cosmological expansion which has the form of the Friedmann equation with a renormalized gravitational constant. The generalized Layzer-Irvine cosmic energy equation and the associated cosmic virial theorem are applied to some recently proposed modifications of the Newtonian gravitational interaction between dark-matter particles. We also draw attention to the possibility that the cosmic energy equation may be used to probe the expansion history of the universe thereby throwing light on the nature of dark matter and dark energy.

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