Showing papers on "Four-force published in 1967"
TL;DR: In this article, a number of theorems and definitions which are useful in the global analysis of relativistic world models are presented, and it is shown in particular that changes in the topology of spacelike sections can occur if and only if the model is acausal.
Abstract: A number of theorems and definitions which are useful in the global analysis of relativistic world models are presented. It is shown in particular that, under certain conditions, changes in the topology of spacelike sections can occur if and only if the model is acausal. Two new covering manifolds, embodying certain properties of the universal covering manifold, are defined, and their application to general relativity is discussed.
341 citations
223 citations
91 citations
TL;DR: In this article, Dingle published an argument that the theory of special relativity is invalid and restated his case, which was then answered by Professor W. H. McCrea.
Abstract: In 1962 Professor H. Dingle published an argument that the theory of special relativity is invalid. In what follows he restates his case, which is then answered by Professor W. H. McCrea.
37 citations
TL;DR: In this article, a Ricci rotation coefficient technique is used to deal with the various types of geometry on a null hypersurface. But the Ricci method is not suitable for the case of light-like hypersurfaces.
Abstract: Lightlike (null) hypersurfaces are treated by means of an intrinsic Ricci rotation coefficient technique. This provides an effective way of dealing with the various types of geometry on a null hypersurface. The formalism is used to examine inner affinities, differential invariants, local features such as asymptotic and shear directions and geodesic lines, and to give a short description of null hypersurfaces in flat space‐time. Applications to gravitational radiation theory and cosmology are briefly mentioned.
36 citations
TL;DR: This article argued that Henri Poincare did not anticipate Einstein's special theory of relativity, but rather, was intent on an entirely different program, the Lorentz theory of electrons.
Abstract: Contrary to the opinion of some who have written on the history of relativity, the author argues that Henri Poincare did not anticipate Einstein's special theory of relativity; but rather, that Poincare was intent on an entirely different program—the perfection of the Lorentz theory of electrons. It is also suggested that Poincare was not consistent in his use of the so-called “conventional” point of view.
34 citations
01 Jan 1967
TL;DR: Complex vectorial formalism in general relativity, discussing Riemann connection related to representation of Lorentz group by three-dimensional linear space is discussed in this paper, where the authors propose a vectorial representation for general relativity.
Abstract: Complex vectorial formalism in general relativity, discussing Riemann connection related to representation of Lorentz group by three- dimensional linear space
34 citations
TL;DR: In this article, the authors investigated certain weakened vacuum field equations which have been suggested as alternatives to the vacuum field equation of General Relativity and showed that they each possess a solution which corresponds to an isolated mass at the origin which repels test particles.
Abstract: Certain weakened vacuum field equations which have been suggested as alternatives to the vacuum field equations of General Relativity are investigated. It is shown that they each possess a solution which corresponds to an isolated mass at the origin which repels test particles. In view of the contradiction with experiment this solution is an embarrassment to these proposed vacuum field equations.
24 citations
01 Jan 1967
TL;DR: Einstein's theory of general relativity arose from attempts to fit a theory of gravitation into the framework of the space-time concepts of the theory of special relativity [1] as mentioned in this paper.
Abstract: Historically, Einstein’s theory of general relativity arose from attempts to fit a theory of gravitation into the framework of the space-time concepts of the theory of special relativity [1]. The special theory, in turn, arose from attempts to fit a theory of light into the framework of the space-time concepts of Newtonian physics. Within the latter, the existence of an absolute time and of an absolute meaning of simultaneity of distant events had been taken for granted; furthermore, Maxwell’s electromagnetic theory of light (or indeed any wave theory of light) seemed to associate a material medium with Newton’s absolute space, and thus, in contrast to Newtonian point mechanics, to provide a physically preferred frame of reference. This appeared to offer the possibility of detecting effects due to motion with respect to the preferred frame. However, none of the expected effects could be observed, and it proved to be impossible to find an all-encompassing explanation for these negative results without transcending the bounds of the Newtonian concepts [2].
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01 Jan 1967
TL;DR: In this article, the equations of Rainich's "already unified theory" were solved for the case when the field is nonstatic and the space-time metric admits a groupG4 of automorphisms.
Abstract: The equations of Rainich's «already unified theory» are solved for the case when the field is nonstatic and the space-time metric which admits a groupG4 of automorphisms has the structure: [Xi,Xj]=0 (i, j=1,2,3), [X1,X4]=lX2, [X2,X4]=mX1, [X3,X4]=0,l=m=0,±1.
01 Apr 1967
TL;DR: In this paper, the authors generalize a previous result of the author about the impossibility of constructing a physically acceptable solution of the Einstein-Maxwell equations corresponding to an infinite charged cylinder.
Abstract: The present paper generalizes a previous result of the author about the impossibility of constructing a physically acceptable solution of the Einstein-Maxwell equations corresponding to an infinite charged cylinder.
TL;DR: In this paper, the Fresnel equation is derived in general relativity using the classical method applied by Levi-Civita in the study of a nonrelativistic theory of electromagnetic induction.
Abstract: The Fresnel equation is derived in general relativity using the classical method applied by Levi‐Civita in the study of a nonrelativistic theory of electromagnetic induction. For the description of the anisotropic medium the theory proposed by Quan is adopted. The study of the Cauchy problem is also presented and the convergence of results assures us that the equation proposed is the good one.
TL;DR: The classical principle of relativity (invariance of the laws of motion to a Galilean transformation of coordinates) with its change of viewpoint from one coordinate system to another rarely comes into question in the routine sort of thermodynamic analysis as mentioned in this paper.
Abstract: The classical principle of relativity (invariance of the laws of motion to a Galilean transformation of coordinates) with its change of viewpoint from one coordinate system to another rarely comes into question in the routine sort of thermodynamic analysis. By analysis of the Joule-Thomson porous-plug experiment under various conditions, it is shown that the standard formalism of thermodynamics is consistent with the classical relativity principle.
TL;DR: In this article, a new way of reaching the desired equation τab,b = 0 was proposed by adding a pseudo-tensor formed from the metric tensor gab and its first derivatives.
Abstract: MUCH embarrassment has been caused in the general theory of relativity by the fact that the conservation equation for the energy tensor Tab reads Tab∣b = 0 (covariant differentiation) and not Tab,b = 0 (ordinary differentiation). This led Einstein to construct a pseudo-tensor τab satisfying τab,b = 0 by adding to Tab a suitably chosen pseudo-tensor formed from the metric tensor gab and its first derivatives. The purpose of this note is to offer a new way of reaching the desired equation τab,b = 0.
TL;DR: Chandrasekhar et al. as mentioned in this paper considered the post-Newtonian effects of general relativity on the Maclaurin and Jacobian sequences of the Roche model.
Abstract: As is well known, in the classical investigations of uniformly rotating bodies, two models have played conspicuous roles: the homogeneous model (leading to the sequences of Maclaurin and Jacobi) and the Roche model (consisting of a tenuous envelope surrounding a highly concentrated central mass). In Papers II and III of this series (Chandrasekhar 1967a and b) the post-Newtonian effects of general relativity on the Maclaurin and the Jacobian sequences have been considered; and in this paper the same effects on the Roche model will be considered.
TL;DR: A theory of relativistic elasticity based upon the ideas of classical infinitesimal elasticity and the special theory of relativity is developed in this paper, where an approximate solution of the field equations in a uni-directional motion of the transient type is discussed.
Abstract: A theory of relativistic elasticity based upon the ideas of classical infinitesimal elasticity and the special theory of relativity is developed. An approximate solution of the field equations in a uni-directional motion of the transient type is discussed.
TL;DR: In this paper, the Dirac equations of motion and momentum law for a system of classical (nonquantum) charged particles interacting with each other and with an incident electromagnetic field are reviewed for closed and open systems, and presented in a manner which leads to an Action Principle which is free of divergent integrals and in which all interactions are mediated by fields.
TL;DR: Some of the operators employed by A. Lichnerowicz in his study of spinor fields and propagators in general relativity are considered for arbitrary (r, s)-spinor (p, q)-tensor fields.
Abstract: Some of the operators employed by A. Lichnerowicz in his study of spinor fields and propagators in general relativity are considered for arbitrary (r, s)-spinor (p, q)-tensor fields. The general properties of those operators are developed and applied to a Laplacian operator proposed by the author.
TL;DR: In this article, the authors present a review of the state-of-the-art space-freenessentials of a spacefreenorming group of people. But, their focus is on the use of the full group of individuals, rather than the full set of individuals.
Abstract: Recen t l y severa l a u t h o r s [1-3] h a v e cor robora ted E ins t e in ' s bas ic a s s u m p t i o n s for t he f o u n d a t i o n of r e la t iv i ty t h e o r y [4], which deny a n y change of chronological t i me of phys ica l clocks a n d l iv ing o rgan i sms af te r the i r r e t u r n f rom spacef l ights w i th re la t iv is t ic velocities, in d i s a g r e e m e n t w i th va r ious p rev ious a u t h o r s (cf. review in [3]). T he reason for th i s d i s a g r e e m e n t is [2] t h a t t he roIe of t he ini t ial condi t ions in t h e Lo ren t z t r an s fo rma t i on , (Ltr) [1 Eqs . (t)] ha s been prev ious ly overlooked, t he comple te descr ip t ion of a spacef l ight e x p e r i m e n t d e m a n d i n g t h e use of t he full i nhomogeneous group of L t r [8] :