Showing papers on "Special relativity (alternative formulations) published in 1979"
Book•
01 Jan 1979
TL;DR: In this article, the spacetime of general relativity and paths of particles are studied in the vicinity of a massive object, and the Chinese connection between the Chinese and general relativity is discussed.
Abstract: Introduction.- Vector and tensor fields.- The spacetime of general relativity and paths of particles.- Field equations and curvature.- Physics in the vicinity of a massive object.- Gravitational radiation.- Elements of cosmology.- Appendix A: Special relativity review.- Appendix B: The Chinese connection.- References.- Solutions.- Index.
211 citations
Proceedings Article•
01 Jan 1979
TL;DR: In this paper, the authors discuss some of the interrelationships between the initial value problem, the canonical formalism, linearization stability and the space of gravitational degrees of freedom.
Abstract: In this chapter we discuss some of the interrelationships between the initial value problem, the canonical formalism, linearization stability and the space of gravitational degrees of freedom. In the last decade, these topics have experienced a resurgence of interest as more advanced mathematical methods and viewpoints have begun to show the intimate relationships among these topics. At present, the literature regarding these areas of general relativity is a rapidly expanding body of knowledge. Our purpose here is to present the current state of affairs from our own point of view. We shall use geometric methods developed by the authors to establish various conn~ctions between the above-mentioned topics. The main tools we shall use to develop this material are nonlinear functional analysis, an adjoint formalism for Hamiltonian field theories, and infinite-dimensional symplectic geometry. As we shall see, these tools and the topics we shall consider are naturally related. For a more complete picture of the current state of affairs, the reader is urged to consult Choquet-Section 4.1 develops the Hamiltonian formalism for the dynamics of general relativity, usually called the ADM (Arnowitt, Deser and Misner) formalism. This is done using invariant concepts and the adjoint formalism developed by the authors. We show how to write the Einstein dynamical system explicitly in the compact form
102 citations
TL;DR: The role of synchronization in special relativity and some related theories is investigated in this paper, where it is found that physical reality can be described with any value on the synchronization parameter, that there exists a preferred inertial system and that the existence of tachyons or of waves travelling with velocity ≠ c relative to this system would enable us to measure absolute velocities.
Abstract: The role of synchronization in special relativity and some related theories is investigated. It is found that physical reality can be described with any value on the synchronization parameter, that there exists a preferred inertial system and that the existence of tachyons or of waves travelling with velocity ≠ c relative to this system would enable us to measure « absolute » velocities. An asymmetry tachyonsbradyons is found.
45 citations
TL;DR: In this paper, a simple and deep standard mathematical theorem asserts the existence, for any one-parameter differentiable group, of an additive parameter, such as the angle for rotations and the rapidity parameter for Lorentz transformations.
Abstract: A simple and deep standard mathematical theorem asserts the existence, for any one‐parameter differentiable group, of an additive parameter, such as the angle for rotations and the rapidity parameter for Lorentz transformations. The importance of this theorem for the applications of group theory in physics is stressed, and an elementary proof is given. The theorem then is applied to the construction from first principles of possible relativity groups.
32 citations
29 citations
TL;DR: The vierbein field can indeed be seen as a gauge field consisting of the Yang-Mills fields associated with both the Lorentz and the translational symmetry.
Abstract: The gauge character of the vierbein field is investigated by introducing the Yang-Mills fields associated with the de Sitter gauge group and by contracting the de Sitter group to the Poincar\'e group. The vierbein field can indeed be seen as a gauge field consisting of the Yang-Mills fields associated with both the Lorentz and the translational symmetry. The local Lorentz invariance is found essential to deduce Einstein's theory of general relativity.
21 citations
TL;DR: In this paper, a multisoliton perturbation theory is used to study the dynamics of sine-Gordon breather solitons under the influence of various structural perturbations.
Abstract: A multisoliton perturbation theory is used to study the dynamics of sine-Gordon breather solitons under the influence of various structural perturbations. Some of the results suggest a distinction that should be made between the clock paradox and the twin paradox of special relativity.
18 citations
TL;DR: In this paper, Geroch showed that it is by no means true that special relativity is irrelevant to the macroscopic physics of ordinary material systems under terrestrial conditions and that, by unifying dynamics, thermodynamics and electromagnetism into a coherent whole, special relativity gives a deeper appreciation of each of these topics.
Abstract: Robert Geroch 1978 London: University of Chicago Press xi + 225 pp price £8.40 The main aim of Dixon's book is to show that it is by no means true that special relativity is irrelevant to the macroscopic physics of ordinary material systems under terrestrial conditions. In a clear and lucid text the author shows that, by unifying dynamics, thermodynamics and electromagnetism into a coherent whole, special relativity gives a deeper appreciation of each of these topics.
17 citations
TL;DR: In this paper, the field equations of general relativity have been solved to obtain a solution for a static charged fluid sphere, which is free from singularity and satisfies the necessary physical conditions.
Abstract: In the present paper the field equations of general relativity have been solved to obtain a solution for a static charged fluid sphere. This solution is free from singularity and satisfies the necessary physical conditions.
16 citations
01 Jan 1979
TL;DR: On the problem of singularity in the De Sitter model, the authors discusses the integral formulation of the Mach Principle in a Conformally Flat Space and Canonical Transformations and the Theory of Representations of Lie Groups.
Abstract: On the Problem of Singularity in the De Sitter Model.- On the Integral Formulation of the Mach Principle in a Conformally Flat Space.- Canonical Transformations and the Theory of Representations of Lie Groups.- The Newman-Penrose Method in the Theory of General Relativity.
TL;DR: In this article, it is argued that the reinterpretation principle is incoherent, and even if it is not, some causal paradoxes remain, and that the most plausible solution, which appeals to boundary conditions of the universe, will conflict with special relativity.
Abstract: Although the existence of tachyons is not ruled out by special relativity, it appears that causal paradoxes will arise if there are tachyons. The usual solutions to these paradoxes employ some form of the reinterpretation principle. In this paper it is argued first that the principle is incoherent, second that even if it is not, some causal paradoxes remain, and third, the most plausible “solution,” which appeals to boundary conditions of the universe, will conflict with special relativity.
TL;DR: In this article, an argument is given in favor of the conjecture that an isolated system in general relativity must have nonnegative total energy, which is the same as the one in this paper.
Book•
01 Jan 1979
01 Jan 1979
TL;DR: In this article, a new laser version of the Michelson-Morley experiment was described, in which they achieved a sensitivity Δc/c = (1.5±2.5)×10−15.
Abstract: This paper describes a new laser version of the Michelson-Morley [1] experiment, in which we achieved a sensitivity Δc/c = (1.5±2.5)×10−15 [2]. This appears to constitute the most precise test of special relativity yet realized.
TL;DR: In this article, the Michelson-Morley experiment is examined in order to examine the assumption that the history of physics, in so far as it is an integral part of physics education, has an important role to play in physics education.
Abstract: The author discusses the Michelson-Morley experiment in order to examine the assumption that the history of physics, in so far as it is an integral part of physics, has an important role to play in physics education.
TL;DR: In this article, the authors discuss a method found useful in a relativity course for nonscience majors emphasizing logical reasoning rather than memory of facts, where they instead sketch diagrams of the two systems "according to S at time t, and according to S′ at time T'' and each pair of sketches is related by one common event.
Abstract: This paper discusses a method found useful in a relativity course for nonscience majors emphasizing logical reasoning rather than memory of facts. At the point where the Lorentz transformation might be discussed, we instead sketch diagrams of the two systems ’’according to S at time t,’’ and ’’according to S′ at time t′.’’ Each pair of sketches is related by one common event. Several specific examples illustrate the method.
TL;DR: In this paper, the causality problem of spacelike particles is examined and the passage of a macroscopic superluminal current through a field of finite dimensions in space and time is considered.
TL;DR: In this article, the authors present an Einstein centenary survey of general Relativity, focusing on the first three decades of the 20th century and the first half of the 21st century.
Abstract: General Relativity: An Einstein Centenary Survey. Edited by S. W. Hawking and W. Israel. Pp. 831. (Cambridge University Press: Cambridge, 1979.) £37.50.
01 Jan 1979
TL;DR: Einstein's paper as mentioned in this paper is virtually unparalleled in the history of science in its depth, breadth and intellectual virtuosity, and setting the paper in its historic context serves to make this point manifestly clear.
Abstract: Page for page Einstein’s relativity paper is virtually unparalleled in the history of science in its depth, breadth and intellectual virtuosity. Setting the paper in its historic context serves to make this point manifestly clear.