The Problem of Inertia in Friedmann Universes

2011/04/07 by Joseph Sultana, Demosthenes Kazanas · 1 citation
Physics and Astronomy · #astro-ph.CO #gr-qc

paper · pdf · doi:10.1142/s0218271811019384

10 pages

arxiv created 2011/04/07 · arxiv updated 2015/05/27

Abstract

In this paper we study the origin of inertia in a curved spacetime, particularly the spatially flat, open and closed Friedmann universes. This is done using Sciama's law of inertial induction, which is based on Mach's principle, and expresses the analogy between the retarded far fields of electrodynamics and those of gravitation. After obtaining covariant expressions for electromagnetic fields due to an accelerating point charge in Friedmann models, we adopt Sciama's law to obtain the inertial force on an accelerating mass m by integrating over the contributions from all the matter in the universe. The resulting inertial force has the form F = -kma, where k < 1 depends on the choice of the cosmological parameters such as Ω_M, Ω_Λ, and Ω_R and is also red-shift dependent.

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