Showing papers on "Special relativity (alternative formulations) published in 1982"
Book•
30 Dec 1982
TL;DR: In this article, the physics of space and time are studied in the context of vector and dyadic notation in 3D space and 3D dimensions, with a focus on simple fluids.
Abstract: Preface 1. The physics of space and time 2. Affine spaces in mathematics and physics 3. Foundations of dynamics 4. Relativistic simple fluids 5. Electrodynamics of polarisable fluids Appendix: Vector and dyadic notation in three dimensions Publications referred to in the text Summary and index of symbols and conventions Subject index.
59 citations
TL;DR: The relation between the linkage and the symplectic approaches to conserved quantities associated with the Bondi-Metzner-Sachs groups in general relativity is examined in this paper.
Abstract: The relation between the linkage and the symplectic approaches to conserved quantities associated with the Bondi–Metzner–Sachs groups in general relativity is examined.
33 citations
TL;DR: In this paper, a variational principle was applied to the general relativity case, using a tetrad to express the spin density and the four-velocity of the fluid. And an energy-momentum tensor was defined for a spinning fluid.
Abstract: General relativity field equations are employed to examine a continuous medium with internal spin. A variational principle formerly applied in the special relativity case is extended to the general relativity case, using a tetrad to express the spin density and the four-velocity of the fluid. An energy-momentum tensor is subsequently defined for a spinning fluid. The equations of motion of the fluid are suggested to be useful in analytical studies of galaxies, for anisotropic Bianchi universes, and for turbulent eddies.
33 citations
TL;DR: In this paper, Burago and Zalgaller discuss the possibility of mixed problems for hyperbolic and parabolic systems of rays in the context of fuzzy topology.
Abstract: THE SOLVABILITY OF MIXED PROBLEMS FOR HYPERBOLIC AND PARABOLIC EQUATIONS V A Il'in CONVEX SETS IN RIEMANNIAN SPACES OF NON-NEGATIVE CURVATURE Yu D Burago and V A Zalgaller Two decades of fuzzy topology: basic ideas, notions, and results A P Shostak Singularities of systems of rays Vladimir I Arnol'd NONCOMPACT SEMISIMPLE LIE GROUPS A I Sirota and A S Solodovnikov DISCONTINUOUS SOLUTIONS OF HYPERBOLIC SYSTEMS OF QUASILINEAR EQUATIONS B L Rozhdestvenskii Floquet theory for partial differential equations P A Kuchment Axiomatic relativity theory
27 citations
TL;DR: In this article, a solution for the equations governing the space-time transformation in six-dimensional special relativity is found, and the energy required to turn the time vector of a particle is calculated.
Abstract: A solution is found for the equations governing the space-time transformation in six-dimensional special relativity. The energy required to turn the time vector of a particle is calculated.
12 citations
TL;DR: In this article, a reply to the comment on our earlier paper about the behaviour of Maxwell's equations under real superluminal Lorentz transformations is given and its has been shown that the discrepancy between our results and that of Marchildon et al. is not due to any inconsistency in our approach.
9 citations
TL;DR: The solution of the conformastat vacuum problem in general relativity is presented in this article, which consists of three axially symmetric Levi-Civita metrics, disproving the alleged spherical symmetry of the space-times.
9 citations
TL;DR: In this article, it was shown that linearity and extended special relativity are incompatible, if superposition principle holds, which leads unambiguously to the unphysical conclusion that an accelerated charged particle does not emit electromagnetic radiation in vacuum.
5 citations
01 Jan 1982
TL;DR: In this paper, the authors present conditions générales d'utilisation, i.e., toute utilisation commerciale ou impression systématique is constitutive d'une infraction pénale.
Abstract: © Société mathématique de France, 1982, tous droits réservés. L’accès aux archives de la collection « Astérisque » (http://smf4.emath.fr/ Publications/Asterisque/) implique l’accord avec les conditions générales d’utilisation (http://www.numdam.org/conditions). Toute utilisation commerciale ou impression systématique est constitutive d’une infraction pénale. Toute copie ou impression de ce fichier doit contenir la présente mention de copyright.
4 citations
01 Jan 1982
Journal Article•
TL;DR: In this paper, the conditions générales d'utilisation (http://www.numdam.unipd.org/legal. php) of the agreement with the Rendiconti del Seminario Matematico della Università di Padova are discussed.
Abstract: L’accès aux archives de la revue « Rendiconti del Seminario Matematico della Università di Padova » (http://rendiconti.math.unipd.it/) implique l’accord avec les conditions générales d’utilisation (http://www.numdam.org/legal. php). Toute utilisation commerciale ou impression systématique est constitutive d’une infraction pénale. Toute copie ou impression de ce fichier doit contenir la présente mention de copyright.
TL;DR: In this article, it was proved that the combined gravitational and neutrino equations admit no nontrivial solutions in a static space-time provided that the energy density of the neutrinos field is non-null for all observers.
Abstract: It is proved that the combined gravitational‐neutrino equations in general relativity admit no nontrivial solutions in a static space‐time provided that the energy density of the neutrino field is nonnull for all observers.
TL;DR: In this article, an attempt is made to capture the sense that certain objects cannot be constructed using reasonable matter from normal initial conditions, and the implications of such a definition, along with some related results and open questions are discussed.
Abstract: In the context of general relativity, there is a sense in which certain objects cannot be constructed, using reasonable matter, from normal initial conditions. An attempt is made to capture this sense as a definition. The implications of such a definition, along with some related results and open questions, are discussed.
Journal Article•
TL;DR: In this paper, it was shown that the field equations of general relativity never afford a minimum or maximum-not even locally-to the action integral, and that solutions of the field equation always represent a stationary value ofI.
Abstract: It is shown that the field equations of general relativity never afford a minimum or maximum-not even locally-to the action integralI. Solutions of the field equations always represent a stationary value ofI.
01 Jan 1982
TL;DR: In a letter of 6 January 1948 to Michele Besso, Einstein wrote: "Mach's weakness, as I see it, lies in the fact that he believed more or less strongly, that science consists merely of putting experimental results in order; that is, he did not recognize the free constructive element in the creation of a concept" as discussed by the authors.
Abstract: Albert Einstein distinguished sharply between the context of discovery and the context of invention. For example, in a letter of 6 January 1948 to Michele Besso, Einstein wrote:
Mach’s weakness, as I see it, lies in the fact that he believed more or less strongly, that science consists merely of putting experimental results in order; that is, he did not recognize the free constructive element in the creation of a concept. He thought that somehow theories arise by means of discovery [durch Entdeckung] and not by means of invention [nicht durch Erfindung]. (1972, p. 391, italics in original).
01 Dec 1982
Journal Article•
CERN1
TL;DR: In this paper, the stability properties of general relativity with a non-vanishing cosmo logical constant A by means of the energy was studied, and it was shown that there exists a suitable definition of energy in these models, for all metrics tending asymptotically to any background solution which has a timelike Killing symmetry.
Abstract: We study the stability properties of general relativity with a non-vanishing cosmo logical constant A by means of the energy. First, it is shown that there exists a suitable definition of energy in these models, for all metrics tending asymptotically to any background solution which has a timelike Killing symmetry. It is conserved and has flux integral form. Stability is established for all systems tending asymptotically to anti-De Sitter space when A 0, it is shown that small excitations about De Sitter space are stable, provided they occur within the event horizon intrinsic to this space. Outside the horizon an instability arises which signals the onset of Hawking radiation; it is shown to be universal to all systems. Semi-classical stability is also discussed for A > 0.
TL;DR: In this article, a rigorous extension of the full Lorentz group is found which is parameterized by interframe velocities v(t) and which reduces to Special Relativity for acceleration-free cases and to Galilean relativity for low velocity cases.
Abstract: A rigorous extension of the full Lorentz group is found which is parameterized by interframe velocities v(t) and which reduces to Special Relativity for acceleration-free cases and to Galilean relativity for low velocity cases. Full group properties are exhibited. Four-momentum is defined and particle masses are shown to be invariants. Four-force is introduced and pseudoforces are shown to enter the equations of particle dynamics. Maxwell's equations are shown to take on pseudocurrent terms in accelerating frames. A four-vector Green function solution to the modified Maxwell equations is presented. Finally, a discussion is offered concerning philosophical questions such as the operational definition of time.
TL;DR: In this article, a spherically symmetric solution to the field equations R/sub A/B = 0 in five-dimensional relativity is presented, and it is used to demonstrate a significant inequivalence between the Brans-Dicke scalar-tensor theory and the five dimensional field equations.
Abstract: We present a static spherically symmetric solution to the field equations R/sub A/B = 0 in five-dimensional relativity and use it to demonstrate a significant inequivalence between five-dimensional relativity and the Brans-Dicke scalar-tensor theory.
TL;DR: In this paper, the program of relativization of phases is extended to non-Abelian field theories and a principle of relativity is formulated that contains space-time relativity as a special case.
Abstract: The program of relativization of phases is extended to non-Abelian field theories. A principle of relativity is formulated that contains space-time relativity as a special case.