Showing papers on "Four-force published in 1983"
Book•
01 Jan 1983
TL;DR: The geometry of general relativity is riemannian what is as discussed by the authors, which is the same as the geometry of spacetime and geometry of the fourth dimension of the theory of relativity.
Abstract: General relativity university of pittsburgh. the geometry of special relativity. relativity and geometry dover books on physics roberto. geometry relativity and the fourth dimension rudolf v. spacetime and geometry sean carroll. einstein s theory of relativity. the geometry of general relativity is riemannian what is. general relativity simple english the free. lecture 37 riemannian geometry and the general relativity. quantum mechanics relativity geometry and the unity of. special relativity and conic sections hyperbolic. euler s formula geometry of relativity. general relativity spacetime and geometry. elementary general relativity. geometry and general relativity science4all. semi riemann geometry and general relativity. general relativity. the geometry of relativity geometry of relativity. mathematics of general relativity. geometry of space and relativity molwickpedia
238 citations
TL;DR: In this article, a simple result restricting the behavior of a timelike curve under limitations on its integrated acceleration is obtained and discussed, where the authors consider the case where the acceleration of the curve is bounded.
Abstract: A simple result, restricting the behavior of a timelike curve under limitations on its integrated acceleration, is obtained and discussed.
30 citations
TL;DR: The energy-momentum problem for the gravitational field in general relativity has been a stumbling block for theoreticians for more than six decades as discussed by the authors, but none of them has led to sucoess.
Abstract: The energy-momentum problem for the gravitational field in general relativity has been a stumbling block for theoreticians for more than six decades. During this time different authors have proposed in the scientific literature numerous approaches to the problem, but none of them has led to sucoess. Extensive analysis of the energy-momentum problem in general relativity shows [8, 9, 11–17] that in Einstein's theory there is in principle no solution to this problem, since it does not contain conservation laws for the matter and gravitational field taken together.
26 citations
22 citations
21 citations
20 citations
TL;DR: In this article, it was shown that in weakly asymptotically simple and empty space, according to classical general relativity, from nonsingular initial data no strong curvature singularity can arise that is visible from infinity.
Abstract: It is shown that in a weakly asymptotically simple and empty space, according to classical general relativity, from nonsingular initial data no strong curvature singularity can arise that is visible from infinity.
19 citations
TL;DR: In this article, it was shown that the proper length of an accelerating object is limited to the values L*≤c2/a*F where a*F is the proper acceleration of the front end.
Abstract: The proper length L* of an accelerating object is limited to the values L*≤c2/a*F where a*F is the proper acceleration of the front end. For the maximum length, the acceleration of the rear end is infinite. The effect rests on the relativity of simultaneity, one of the most difficult relativity concepts for students. We explore some consequences of this result.
17 citations
TL;DR: In this paper, the development of two connected strands of thought, associated respectively with Maxwell and Poincare, are disentangled, so as to throw light on several questions connected with the special theory of relativity.
Abstract: In this paper we try to disentangle the development of two connected strands of thought, associated respectively with Maxwell and Poincare, so as to throw light on several questions connected with the special theory of relativity. For example, who first used the word 'relativity' in physics in the sense we understand it today, meaning: in all physical experiments, whether mechanical or electromagnetic, only the relative velocity of a body can be measured, i.e. the notion of velocity of a body as such is a concept without physical importance? Which was the earliest experiment undertaken to determine the absolute motion of the earth through the hypothetical ether or space, if such putative motion had a physical consequence at all, and by whom ? In short, what exactly were the contributions of various physicists before the publication of Einstein's monumental contribution of 26 September 1905 submitted for publication to Annalen der Physik on 30 June 1905? While we were writing this paper, our attention was drawn to the highly illuminating discussion given by Miller [1981]. We have been able to use Miller's discussion to improve the paper; but his objective is not the same as ours.
15 citations
TL;DR: In this article, the conventionality of the one-way speed of light in the special theory of relativity is corrected and generalized, and it is concluded that these discussions reveal no ground for a challenge of the traditional conventionalist thesis.
Abstract: Two recent discussions in this journal of the conventionality of the one‐way speed of light in the special theory of relativity are corrected and generalized. It is concluded that these discussions reveal no ground for a challenge of the traditional conventionalist thesis.
TL;DR: In this article, the profile of the physical variable of a contracting sphere is obtained from the static solutionV of Tolman, and it is shown that bouncing of the surface is impossible in this model.
Abstract: The application of a general method to obtain the profile of the physical variable of a contracting sphere is presented. The model is obtained from the static solutionV of Tolman. It is shown that bouncing of the surface is impossible in this model.
01 Jan 1983
TL;DR: Gravity is not a force of foreign origin transmitted through space and time as discussed by the authors, but a manifestation of the curvature of space time, and gravity is not an external force.
Abstract: Gravity is not a force of foreign origin transmitted through space and time. Gravity is a manifestation of the curvature of space time. That is Einstein’s account of gravity in brief.
TL;DR: In this paper, the equations of motion in general relativity using a fast motion approach are worked out explicitly to second order to derive the derivation from first principles with the assumptions made, and the application of these equations to small-angle scattering is given.
Abstract: The equations of motion in general relativity using a 'fast motion approach' are worked out explicitly to second order. The derivation from first principles with the assumptions made is given. The application of these equations to small-angle scattering will be given in a later paper.
TL;DR: Using equations of motion for a charged particle acted on by the new electromagnetic fields allowed in six-dimensional relativity, it was shown how much a particle moving in the field of a central charge can have a space trajectory which the standard four-dimensional theory does not allow as mentioned in this paper.
TL;DR: In this paper, a new classical action formulation of general relativity is presented, which derives both Riemannian geometry and Einstein's field equations in the general case of a gravitational field interacting with matter.
Abstract: A new classical action formulation of general relativity is presented. The aim is to develop a variational principle which derives both Riemannian geometry and Einstein's field equations in the general case of a gravitational field interacting with matter. The method is applied to the Hilbert action functional with a variable matter-gravity coupling. Surprisingly, the resulting theory is not general relativity with a variable G; instead, the method yields general relativity with a constant G and a cosmological constant. It is shown that the variational principle has a physical content different from that of the usual Hilbert and Palatini action formulations. A possible application of the new variational principle to the path-integral quantization of gravity is discussed.
TL;DR: In this paper, the canonical treatment of general relativity in a vierbein formulation was discussed, and the primary constraints were derived from an algebra the same as that of the generators of local Poincare transformations.
Abstract: Discusses the canonical treatment of general relativity in a vierbein formulation. The authors derive the primary constraints, and find that they satisfy an algebra the same as that of the generators of local Poincare transformations, namely the Poincare algebra.
TL;DR: As it occurs for the Weyl-Levi Civita class of vacuum fields, even the class of stationary, axially symmetric solutions of the general theory of relativity found by Papapetrou may be generalized to the Hermitian theory in a straightforward way as mentioned in this paper.
Abstract: As it occurs for the Weyl-Levi Civita class of vacuum fields, even the class of stationary, axially symmetric solutions of the general theory of relativity found by Papapetrou may be generalized to the Hermitian theory in a straightforward way.
TL;DR: In this paper, the importance of the inertial frames as a privileged set for reconciling transit times of signals traversing closed curves in opposite senses has been emphasized for the purpose of avoiding subtleties in the concept of simultaneity.
Abstract: Some subtleties in the concept of simultaneity are avoided with a presentation of relativity which emphasizes the importance of the inertial frames as a privileged set for reconciling transit times of signals traversing closed curves in opposite senses.
TL;DR: In this article, a detailed analysis of the weight of a box filled with a gas and placed in a weak gravitational field is presented, which implies a breakdown of the equivalence between inertial and passive gravitational mass for stressed systems.
Abstract: In the recently developed asynchronous formulation of the relativistic theory of extended bodies, the inertial mass of a body does not explicitly depend on its pressure or stress. The detailed analysis of the weight of a box filled with a gas and placed in a weak gravitational field shows that this feature of asynchronous relativity implies a breakdown of the equivalence between inertial and passive gravitational mass for stressed systems.
TL;DR: In this article, the authors obtained exact solutions of the Einstein-Maxwell equations in both cylindrically symmetric and axially symmetric cases for the case of charged dust in general relativity.
Abstract: Following two recent papers by Bonnor (1980) and Raychaudhuri (1982) on the motion of charged dust in general relativity, the authors obtain exact solutions of the Einstein-Maxwell equations in both cylindrically symmetric and axially symmetric cases.
TL;DR: In this paper, the equilibrium of a stretched string in curved space is studied, without detailed assumptions, and the force of gravity on the string is calculated from general relativity with a static metric.
Abstract: The equilibrium of a stretched string in curved space is studied. The problem is first formulated without detailed assumptions, then the force of gravity on the string is calculated from general relativity with a static metric. Apart from this calculation everything is done in ordinary space rather than in space-time. A number of simple cases are worked out explicitly.