Dark matter versus Mach's principle.

Details Dark matter versus Mach's principle. Dark matter versus Mach's principle.

Feb 1998

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1998foph...28..273v&link_type=abstract

Found. Phys., Vol. 28, No. 2, p. 273 - 290

Astronomy and Astrophysics

Astrophysics

3

Dark Matter: Gravitation Theory, Dark Matter: Universe

Scientific paper

Empirical and theoretical evidence show that the astrophysical problem of dark matter might be solved by a theory of Einstein-Mayer type. In this theory up to global Lorentz rotations the reference system is determined by the motion of cosmic matter. Thus one is led to a "Riemannian space with teleparallelism" realizing a geometric version of the Mach-Einstein doctrine. The field equations of this gravitational theory contain hidden matter terms where the existence of hidden matter is inferred safely from its gravitational effects. It is argued that in the nonrelativistic mechanical approximation they provide an inertia-free mechanics where the inertial mass of a body is induced by the gravitational action of the comic masses. Interpreted form the Newtonian point of view this mechanics shows that the effective gravitational mass of astrophysical objects depends on r such that one expects the existence of dark matter.

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