[1104.1306] The Problem of Inertia in Friedmann Universes

Authors:  Joseph Sultana, Demosthenes Kazanas
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 $\Omega_{M}$, $\Omega_{\Lambda}$, and $\Omega_{R}$ and is also red-shift dependent.
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Shantanu Desai
Posts: 2
Joined: May 06 2011
Affiliation: Univ of Illinois

[1104.1306] The Problem of Inertia in Friedmann Universes

Post by Shantanu Desai » May 06 2011

What do people think about this? Is there a way to test Mach's principle and generalizations (including stuff discussed in this paper) using cosmological data?

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