TY - JOUR

T1 - Cosmological principle in Newtonian dynamics

AU - Benisty, David

AU - Guendelman, Eduardo I.

N1 - Funding Information:
This paper is supported by COST Action CA15117 “Cosmology and Astrophysics Network for Theoretical Advances and Training Action” (CANTATA) of the
Funding Information:
COST (European Cooperation in Science and Technology). D.B. and E.G. are partially supported by COST Actions CA16104 and CA18108. We are grateful to M. Millgrom and M. Chaichian and to the referees for helpful and deep discussions.
Publisher Copyright:
© 2020 World Scientific Publishing Company.

PY - 2020/5/30

Y1 - 2020/5/30

N2 - A correspondence between the equivalence principle and the homogeneity of the universe is discussed. In Newtonian gravity, translation of co-moving coordinates in a uniformly expanding universe defines an accelerated frame. A consistency condition for the invariance of this transformation which requires a well-defined transformation for the Newtonian potential, yields the Friedmann equations. All these symmetries are lost when we modify Newton's Second Law (NSL) or the Poisson equation. For example, by replacing NSL with nonlinear function of the acceleration, the concept of relative acceleration is lost and the homogeneity of the universe breaks.

AB - A correspondence between the equivalence principle and the homogeneity of the universe is discussed. In Newtonian gravity, translation of co-moving coordinates in a uniformly expanding universe defines an accelerated frame. A consistency condition for the invariance of this transformation which requires a well-defined transformation for the Newtonian potential, yields the Friedmann equations. All these symmetries are lost when we modify Newton's Second Law (NSL) or the Poisson equation. For example, by replacing NSL with nonlinear function of the acceleration, the concept of relative acceleration is lost and the homogeneity of the universe breaks.

KW - Newtonian dynamics

KW - cosmological principle

UR - http://www.scopus.com/inward/record.url?scp=85082646062&partnerID=8YFLogxK

U2 - 10.1142/S021773232050131X

DO - 10.1142/S021773232050131X

M3 - Article

AN - SCOPUS:85082646062

SN - 0217-7323

VL - 35

JO - Modern Physics Letters A

JF - Modern Physics Letters A

IS - 16

M1 - 2050131

ER -