Showing papers on "Special relativity (alternative formulations) published in 1976"
TL;DR: In this paper, local active Poincare transformations of matter fields and corresponding invariance are defined, and only kinematical notions of special relativity enter these definitions, leading to a first order form of the gravitational field equations with momentum and spin as sources.
55 citations
TL;DR: In this article, a general solution for time-independent, adiabatic, spherically symmetric wind and accretion flows in Schwarzschild coordinates is obtained for both relativistic and non-relativistic temperatures.
Abstract: Analytic general solutions are obtained for time-independent, adiabatic, spherically symmetric wind and accretion flows in Schwarzschild coordinates. Various equations of state applicable for both relativistic and nonrelativistic temperatures are considered. The general solution is shown to strongly resemble the nonrelativistic stellar wind solution. Finally, shock transitions in special relativity are briefly considered, and it is shown how they can be fitted onto the full solution to accommodate a broader class of boundary conditions. (AIP)
43 citations
TL;DR: In this paper, a general linearly connected spacetime with a metric (L4, g) is shown to be an appropriate geometrical framework for general relativistic field theory.
Abstract: In Part I** of this series we have introduced the new notion of hypermomentum Δijk as a dynamical quantity characterizing classical matter fields. In Part II, as a preparation for a general relativistic field theory, we look for a geometry of spacetime which will allow for the accomodation of hypermomentum into general relativity. A general linearly connected spacetime with a metric (L4, g) is shown to be the appropriate geometrical framework
33 citations
TL;DR: The mere special relativity does not explicitly predict existence of (sub-luminal) monopoles, but on the contrary explicitly predicts existence of super-luminous (tachyon) monopole, with magnetic charge about 100 times less than usually assumed as discussed by the authors.
27 citations
TL;DR: In this paper, it is shown from the Lorentz transformation that all events are pre-determined and there is no free will in the existence of a future event, and that the future event can be arranged to have a negative time coordinate for A'.
Abstract: Two observers A and A' at a distance d apart synchronize their clocks to t = t' = 0 at what I shall call the critical time. They are in uniform relative motion, and one can show from the Lorentz transformation (quite correctly) the following result. Take any event E in A's future t > 0. Then, by choosing the velocity of A' appropriately, this event can be arranged to have a negative time coordinate for A'. Thus at the critical time t = t' = 0 the event seems to have already been determined in the sense of being there as far as A' is concerned [while A' is in A's present]. Nothing A can do, can influence the existence of this future event. It is (pre-)determined. We can find an observer A' for each future event E at all times on A's world-line, and for all observers A. Thus all events are determined and there is no free will. ([1], p. 80.)
21 citations
19 citations
19 citations
TL;DR: In this article, the authors analyzed Section 8 of Einstein's relativity paper, "On the Electrodynamics of Moving Bodies,’’ in its historical context.
Abstract: Section 8 of Einstein’s relativity paper of 1905, ’’On the Electrodynamics of Moving Bodies,’’ is analyzed in its historical context. The relationship of this section to the rest of the relativity paper, to the genesis of relativity theory, and to contemporaneous work on radiation theory—in particular, to that of Max Abraham—is discussed.
TL;DR: In this article, the TW approach and the TW-based approach of Taylor and Wheeler (1963) are compared and a particular problem within TW approach is discussed, and the two approaches are compared in terms of momentum and energy as gamma m0 nu and gamma m 0 c2.
Abstract: Traditionally, most undergraduate textbooks on special relativity follow many of the specialized monographs in using the concept of the relativistic mass mr(v) of a particle, equal to gamma ( nu )m0, where m0 is the rest mass of the particle and gamma ( nu ) is equal to (1- nu 2/c2)-12/. Recently, some textbooks, in particular the one by Taylor and Wheeler (1963), have not used the relativistic mass, but have merely defined momentum and energy as gamma m0 nu and gamma m0c2. The two approaches are compared and a particular problem within the TW approach is discussed.
TL;DR: In this paper, a relativistic version of deRham's theorem was used to find the holonomy group of a large class of space-times and showed that the concept of energy content needed above completely determines the energy content under suitable assumptions.
Abstract: We prove a relativistic version of deRham's theorem and use it to find the holonomy group of a large class of space-times. We also show that the concept of “energy content” needed above completely determinesg
ij
under suitable assumptions. Thus it brings us closer to a theorem that will express Mach's principle in general relativity.
TL;DR: In this article, a crucial experiment is proposed to test the special relativity theory, which consists of mounting the source and absorber on two different rotors gyrating at the same speed.
Abstract: A crucial experiment is proposed to test the special relativity theory. It is based on the Mossbauer effect, and consists of mounting the source and absorber on two different rotors gyrating at the same speed, thus securing a relative speed between the two, while at the same time having both at the same absolute speed. It is able to distinguish between Einstein’s and Lorentz’ theories and should give a nonnull result if Einstein’s theory is verified and a null result if Lorentz’ is confirmed. This is an important result, since many authors consider Lorentz’ theory as either invalid or as equivalent to Einstein’s one. The experiment is feasible with current technology, is of low cost and unambiguous.
01 Sep 1976
01 Jan 1976
TL;DR: The conventionality of simultaneity at distant points is defended partly by reference to Einstein's 1905 paper founding special relativity as discussed by the authors, which required that the two signalpaths be physically equivalent and thus that whatever the signals travel through have no perturbing affect on their motions.
Abstract: The conventionality of simultaneity at distant points is defended partly by reference to Einstein's 1905 paper founding special relativity. His famous light-signaling definition takes the transit time of light in one direction to be equal to that in the other. Conventionalists such as Reichenbach and Grunbaum argue that he could have made them unequal without denying any physical fact. However, Einstein's more detailed treatment in the 1910 Archives des sciences runs counter to this thesis. There he required that the two signal-paths be physically equivalent and thus that whatever the signals travel through have no perturbing affect on their motions.
TL;DR: In this article, Dirac and Chichester describe a considerable expansion of interest in general relativity due, in large measure, to an astonishing variety of recent astronomical observations, apparently indicating gravitational fields too strong (e.g. in neutron stars, black holes and the big bang) for Newtonian physics to be adequate.
Abstract: P A M Dirac Chichester: J Wiley 1975 pp viii + 69 price £5.80 The past ten years have seen a considerable expansion of interest in general relativity, due, in large measure, to an astonishing variety of recent astronomical observations, apparently indicating gravitational fields too strong (e.g. in neutron stars, black holes and the big bang) for Newtonian physics to be adequate. Furthermore, new direct observational tests of general relativity have come forth to lend striking support to Einstein's original 1916 theory.
TL;DR: In this article, the authors outline some difficulties in the classical approach that may be overcome by using concepts of special relativity, which is an excellent way to present electromagnetic concepts not only to future physicists but also to future electrical engineers.
Abstract: In recent years, many renowed physicists have emphasized relativity when introducing their students to electromagnetic theory. This is an excellent way to present electromagnetic concepts not only to future physicists but also to future electrical engineers. The present paper outlines some difficulties in the classical approach that may be overcome by using concepts of special relativity.
TL;DR: Lightman, William H Press, Richard H Price and Saul A Teukolsky as mentioned in this paper, published in 1975, contains some 500 problems in special relativity, general relativity and associated topics such as cosmology and black holes, with their solutions.
Abstract: Alan P Lightman, William H Press, Richard H Price and Saul A Teukolsky Princeton, NJ: Princeton University Press 1975 pp xiv + 599 price £11.70 (cased), £4.40 (paperback) This book contains some 500 problems in special relativity, general relativity and associated topics such as cosmology and black holes, with their solutions. It will be of great value to someone working in these fields or to students, used in conjunction with a text such as Misner, Thorne and Wheeler's Gravitation, and covers many physically interesting cases.