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

scholarly journals From Maximal Force to the Field Equations of General Relativity

2021 ◽  
Author(s):  
C Sivaram ◽  
Arun Kenath ◽  
Christoph Schiller
Keyword(s):  
Black Holes ◽  
General Relativity ◽  
Elastic Constant ◽  
Gravitational Wave ◽  
Special Relativity ◽  
Field Equations ◽  
Maximal Force ◽  
Wave Measurements ◽  
Maximal Speed

We point out that field equations of general relativity are implied by a maximal force given by c4/4G, analogous to the way that special relativity is implied by a maximal speed given by c. We present some of the arguments for this equivalence. The maxi-mal force naturally plays the role of an elastic constant for space-time. Implications of the maximal force for gravitational wave measurements, cosmology and black holes are highlighted. Quantum aspects of the maximal force are discussed.

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.

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.

The Genesis of Relativistic Cosmology

2017 ◽  
Author(s):  
Hanoch Gutfreund ◽  
Jürgen Renn
Keyword(s):  
General Relativity ◽  
Momentum Conservation ◽  
Cosmological Models ◽  
Relativistic Cosmology ◽  
De Sitter ◽  
Mach's Principle ◽  
Felix Klein ◽  
Hermann Weyl ◽  
Energy Momentum Conservation

This chapter highlights the background for the emergence of relativistic cosmology. A specific interpretational issue, which is treated in this context, is the role of Ernst Mach's principle and the first exploration of the cosmological consequences of general relativity. Here Einstein's main interlocutor was the Dutch astronomer Willem de Sitter. But during the years 1916 to 1918, Einstein also exchanged letters with the mathematicians Hermann Weyl and Felix Klein. This correspondence has been referred to as the Einstein–de Sitter–Weyl–Klein debate. This debate not only focused on specific cosmological models but also helped to clarify the meaning of such fundamental issues as coordinates and energy-momentum conservation in the theory. This chapter also discusses the implications of Hubble's discovery.

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