Journal ArticleDOI
A Machian interpretation of the cosmological constant
Hongya Liu,Bahram Mashhoon +1 more
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In this paper, a 5D Machian generalization of the Kaluza-Klein theory is described, in which the cosmological constant appears as the contribution of the rest of the universe to the gravitational field of an isolated source.Abstract:
A 5D Machian generalization of Einstein's theory of gravitation is described in which the cosmological constant appears as the contribution of the rest of the universe to the gravitational field of an “isolated” source. This work amounts to a Machian interpretation of the Kaluza-Klein theory. The standard cosmological models are derived in this framework, and it is shown that - in conformity with the interpretation presented here - the cosmological constant does not directly contribute to the geometric description of the universe as a whole.read more
Citations
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Journal ArticleDOI
Kaluza-Klein gravity
TL;DR: In this paper, the authors discuss the cosmological and astrophysical implications of extra dimensions, and conclude that none of the three approaches can be ruled out on observational grounds at the present time.
Journal ArticleDOI
Standard clocks, orbital precession and the cosmological constant
TL;DR: In this article, the influence of the cosmological constant on the gravitomagnetic clock effect and the gravitational time delay of electromagnetic rays is discussed, and a general expression for the effect of Λ on pericentre precession is given for arbitrary orbital eccentricity.
Book ChapterDOI
Gravitomagnetism and the Clock Effect
TL;DR: In this paper, it is shown that the gravitomagnetic precession of a gyroscope is intimately connected with the special temporal structure around a rotating mass that is revealed by the clock effect, and the implications of this effect for the notion of inertial dragging in the general theory of relativity are presented.
Journal ArticleDOI
Universe models with a variable cosmological 'constant' and a 'big bounce'
Hongya Liu,Paul S. Wesson +1 more
TL;DR: In this article, the authors present a rich class of exact solutions that contain radiation-dominated and matter-dominated models for the early and late universe, which are compatible with extensions of general relativity to string and membrane theory.
Journal ArticleDOI
Dynamics in Kaluza± Klein Gravity and a Fifth Force
TL;DR: In this paper, the authors derived the field equations and equa tions of motion for 5-dimensional relativity in the general case where the metric can depend on all 5 coordinates (i.e., Kaluza-Klein theory without the cylinder restriction).
References
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Journal ArticleDOI
Mach's principle and a relativistic theory of gravitation
Carl H. Brans,R. H. Dicke +1 more
TL;DR: In this paper, the role of Mach's principle in physics is discussed in relation to the equivalence principle and the difficulties encountered in attempting to incorporate Mach's principles into general relativity are discussed.
Book
The Meaning of Relativity
TL;DR: The Meaning of Relativity as mentioned in this paper is the first book by Einstein to be published by an American publisher, having been published by Princeton University Press in 1921 under the title "The Stafford Little Lectures for that year".
Journal ArticleDOI
The Cosmological constant
TL;DR: In this article, the cosmological constant problem is examined in the context of both astronomy and physics with reference to expansion dynamics, the age of the universe, distance measures, comoving density of objects, growth of linear perturbations, and gravitational lens probabilities.
Journal ArticleDOI
Quantum Theory and Five-Dimensional Theory of Relativity. (In German and English)
TL;DR: In this paper, the authors show that the Gleichungen der elektrischen Teilchen nehmen hierbei auch in elektromagnetisehen Feldern the Gestalt von Gleichingsen geodischen Linien an.
Journal ArticleDOI
Quantum Theory and Five-Dimensional Theory of Relativity. (In German and English)
TL;DR: In this article, the authors show that the Gleichungen der elektrischen Teilchen nehmen hierbei auch in elektromagnetisehen Feldern the Gestalt von Gleichingsen geodischen Linien an.