Velocity dependent inertial induction: An extension of Mach’s principle

Pramana ◽  
1984 ◽  
Vol 23 (5) ◽  
pp. L671-L674 ◽  
Author(s):  
Amitabha Ghosh
Keyword(s):  
Mach's Principle ◽  
Mach’S Principle ◽  
Inertial Induction

scholarly journals THE PROBLEM OF INERTIA IN FRIEDMANN UNIVERSES

2011 ◽  
Vol 20 (07) ◽  
pp. 1205-1214 ◽  
Author(s):  
JOSEPH SULTANA ◽  
DEMOSTHENES KAZANAS
Keyword(s):  
Electromagnetic Fields ◽  
Point Charge ◽  
Cosmological Parameters ◽  
Inertial Force ◽  
Mach's Principle ◽  
Mach’S Principle ◽  
Curved Spacetime ◽  
Far Fields ◽  
Inertial Induction ◽  
The Universe

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 ΩM, ΩΛ and ΩR and is also redshift-dependent.

Finite Universe and Mach's Principle

Nature ◽  
1962 ◽  
Vol 196 (4852) ◽  
pp. 362-363 ◽  
Author(s):  
H. DEHNEN ◽  
H. HöNL
Keyword(s):  
Mach's Principle ◽  
Mach’S Principle
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