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dc.contributor.authorJohnson, David Louthwooden_NZ
dc.date.available2012-12-14T04:42:28Z
dc.date.copyright1968en_NZ
dc.identifier.citationJohnson, D. L. (1968). Mach’s principle in general relativity, and other gravitational theories (Thesis, Master of Science). University of Otago. Retrieved from http://hdl.handle.net/10523/3029en
dc.identifier.urihttp://hdl.handle.net/10523/3029
dc.descriptionviii, 292 leaves ; 30 cm. Bibliography: leaves 281-289. Typescript. University of Otago department: Mathematics.en_NZ
dc.description.abstractThis thesis discusses the extent to which Mach’s principle is incorporated into general relativity. In chapter 1, we consider a vector theory of inertia which attributes the origin of inertial forces to an inductive effect of a moving universe, and which reduces to Newton’s laws of gravitation in a reference frame at rest relative to the “smoothed-out” universe. We then show how general relativity provides a superior presentation of these ideas on the origin of inertia. Chapter 2 is chiefly concerned with boundary conditions on the metric tensor, brought about by a separation of local effects from the general cosmological structure due to the distribution of distant matter. In chapter 3, we consider the compatibility of Mach’s principle with the steady-state theory, and Hoyle’s C-field term is discussed in the light of Mach’s principle. Some solutions of the field equations of general relativity which are incompatible with Mach’s principle are discussed in chapter 4, and in chapter 5 we consider the inertial properties of a test-particle in a homogenous isotropic closed model of the universe. An integral form of Einstein’s equations is presented in chapter 6, involving retarded bi-tensor Green’s functions. A direct-particle interaction theory of gravitation, which reduces to Einstein’s theory in the smooth fluid application is also discussed. [extract from Introduction]
dc.format.mimetypeapplication/pdf
dc.language.isoenen_NZ
dc.publisherUniversity of Otagoen_NZ
dc.rightsAll items in OUR Archive are provided for private study and research purposes and are protected by copyright with all rights reserved unless otherwise indicated.en_NZ
dc.titleMach's principle in general relativity, and other gravitational theoriesen_NZ
dc.typeThesisen_NZ
thesis.degree.disciplineMathematicsen_NZ
thesis.degree.nameMaster of Scienceen_NZ
thesis.degree.grantorUniversity of Otagoen_NZ
thesis.degree.levelMastersen_NZ
otago.interloanyesen_NZ
otago.openaccessOpen
dc.identifier.voyager606600en_NZ
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