scholarly journals A Machian approach to general relativity

2015 ◽  
Vol 12 (10) ◽  
pp. 1550116 ◽  
Author(s):  
Ram Gopal Vishwakarma
Keyword(s):  
General Relativity ◽  
Mach's Principle ◽  
Mach’S Principle ◽  
Independent Existence

Mach's principle is surely one of those tantalizingly beautiful concepts in physics which remain elusive. Though general Relativity (GR) was conceived in the spirit of realizing it, the theory failed to fulfill this expectation. Here a study on the implications of imposing Mach's principle on GR with an insight that spacetime has no independent existence without a material background, is presented. This inclusion of the principle in GR turns out to be unexpectedly rewarding. The resulting theory solves many mysteries and averts lingering problems of the conventional forms of GR and cosmology.

Berichte: Mach's Principle - A Critical Review

1973 ◽  
Vol 28 (3-4) ◽  
pp. 529-537 ◽  
Author(s):  
Michael Reinhardt
Keyword(s):  
General Relativity ◽  
Selection Rule ◽  
Inertial Mass ◽  
Physical Principle ◽  
Mach's Principle ◽  
Mach’S Principle ◽  
Field Equations ◽  
Basic Physical Principle ◽  
Theories Of Gravitation

AbstractAfter a short historical introduction it is discussed how far Mach's principle is incorporated into general relativity. The possible role of Mach's principle as a selection rule for the solutions of Einstein's field equations is summarized. Then follows a discussion of Math's principle in theories of gravitation other than Einstein's, mainly the Brans-Dicke theory. Finally the experiments on the isotropy of inertial mass and their consequence for Mach's principle are described. The conclusion is that Mach's principle, though an extremely stimulating thought, has at present little claim to be a basic physical principle.

THE RESEARCH FRONTIER: Mach's Principle and General Relativity

1969 ◽  
Vol 7 (4) ◽  
pp. 241-243 ◽  
Author(s):  
Jeffrey M. Cohen ◽  
Marion D. Cohen
Keyword(s):  
General Relativity ◽  
Mach's Principle ◽  
Mach’S Principle

Origins of the Mach–Poincaré Principle

2018 ◽  
Author(s):  
Flavio Mercati
Keyword(s):  
Inertial Frame ◽  
Mathematical Form ◽  
Mach's Principle ◽  
Mach’S Principle ◽  
Point Particles ◽  
Absolute Time ◽  
Original Idea ◽  
Definition Of ◽  
Material Bodies ◽  
Independent Existence

The problem with the definition of inertia was solved, in the simple case of free point particles, by Tait, who introduced the concept of inertial frame. Tait’s solution would have satisfied Leibniz’ request that inertia be determined dynamically, however it only works in the absence of interactions between the material bodies. Later Mach posed again the question of the origin of inertia, suggesting the idea that it should be dynamical, which was later dubbed ‘Mach’s principle’. Moreover Mach criticized also Newton’s absolute time, and introduced the basic idea of temporal relationalism, i.e. that time should be a concept that is abstracted from change and has no independent existence. This idea is at the basis of SD and many other relational approaches to physics. This chapter concludes with the Barbour–Bertotti formulation of Mach’s principle, which they called ‘Mach–Poincaré Principle’. This formulation removes the vagueness of Mach’s original idea, and puts the principle into a precise mathematical form, which is one of the basic axioms of SD.

Physical properties of some empty space-times

1957 ◽  
Vol 53 (4) ◽  
pp. 836-842 ◽  
Author(s):  
V. Joseph
Keyword(s):  
General Relativity ◽  
Physical Properties ◽  
Canonical Form ◽  
Empty Space ◽  
Riemann Tensor ◽  
Relativity Theory ◽  
Mach's Principle ◽  
Mach’S Principle ◽  
General Relativity Theory ◽  
The Status

ABSTRACTThe canonical form of the Riemann tensor is found for certain non-flat empty space-times. Some invariant physical properties of these space-times are investigated. The status of Mach's principle in general relativity theory is briefly discussed in the light of these examples.

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