Showing papers on "Four-force published in 1990"
Journal Article•
TL;DR: The relation between the Newton-Cartan theory, Newton's clasical gravitational theory and General Relativity is discussed in this article, where it is shown that the limit c→∞ of GRL becomes identical with the Newton Cartan theory provided the so-called time function, defined as proportional to the singular part of the covariant Einsteinian metric in the transition c→ ∞, satisfies a certain boundary condition at spatial infinity.
Abstract: The relations between the Newton-Cartan theory, Newton's clasical gravitational theory and General Relativity are discussed. It is shown that the limit c→∞ of General Relativity becomes identical with the Newton-Cartan theory, provided the so-called time function ― defined as proportional to the singular part of the covariant Einsteinian metric in the transition c→∞ ― satisfies a certain boundary condition at spatial infinity. Using this limiting process, one obtains an asymptotic representation of Einsteinian fields near the Newtonian limit. This should allow us to identify post-Newtonian corrections for the Newton-Cartan theory
44 citations
01 Jan 1990
39 citations
TL;DR: In this article, a relation between the transports of Fermi-Walker and Levi-Civita in special relativity is pointed out and a well-known example of the Thomas-Wigner angle is derived in a completely frame-independent manner using Clifford algebra.
Abstract: After a general discussion of the physical significance of holonomy group transformations, a relation between the transports of Fermi–Walker and Levi–Civita in special relativity is pointed out. A well‐known example—the Thomas–Wigner angle—is rederived in a completely frame‐independent manner using Clifford algebra.
38 citations
01 Jan 1990
27 citations
Book•
19 Jul 1990
TL;DR: The unification of space and time Relative to what? Causal approaches The communication argument Derivations of the Lorentz transformation Four-vector transformations Counterparts, parity, conservation, and symmetry Retrospect and review Relativity and reality The rationality of physics
Abstract: The unification of space and time Relative to what? Causal approaches The communication argument Derivations of the Lorentz transformation Four-vector transformations Counterparts, parity, conservation, and symmetry Retrospect and review Relativity and reality The rationality of physics
21 citations
TL;DR: In this paper, it was shown that the field equations Rμv = 0 are written in a wider space than the Riemannian one, and a counter example is given in favour of this claim.
Abstract: Varying the step, at which Lorentz signature is introduced in the scheme of applications of general relativity outside the material distribution, new solutions can be obtained. The interpretations of these solutions can be achieved if the field equations Rμv = 0 are written in a wider space than the Riemannian one. A counter example is given in favour of this claim.
7 citations
6 citations
TL;DR: In this article, the relativistic property of the particle coupling coefficient with the field, and the field due to a static point source, is used to develop a new field theory from (1) a new electromagnetic field theory based on special relativity, and (2) a field theory due to static point sources.
Abstract: Based on special relativity, we introduce a way to develop a new field theory from (1) the relativistic property of the particle coupling coefficient with the field, and (2) the field due to a static point source. As an example, we discuss a theory of electromagnetic and gravitational fields. The results of this special relativistic gravitational theory for the redshift and the deflection of light are the same as those deduced from general relativity. The results of experiments on the planetary perihelion procession shift and on an additional “short-range gravity” are more favorable to the special relativistic gravitational theory than to general relativity. We put forward a new idea to test experimentally whether the equivalence principle of general relativity is correct.
5 citations
01 Jan 1990
TL;DR: In this paper, a special theory which does not account for gravitational effects was proposed, and a general theory which reformulates mechanics in the setting of a time-space whose curvature represents the effect of the gravitational field.
Abstract: In our development of electromagnetic theory the hypothesis of a Galilean transformation was assumed. This is a transformation from one coordinate system to another where the reference frame moves rigidly with a constant velocity with no rotation. Newton’s laws of mechanics are invariant under such a transformation. But a Galilean transformation predicts that the velocity of light should be different in the two reference systems. Are not Newton’s laws of mechanics therefore incorrect? The answer to this question led to a new and revolutionary system of mechanics, relativity theory, developed by Albert Einstein. Actually Einstein formulated two relativity theories: the special theory which does not account for gravitational effects, and the general theory which reformulates mechanics in the setting of a time—space whose curvature represents the effect of the gravitational field. The general theory is much more revolutionary and entirely a product of Einstein’s genius, whereas other investigators such as Poincare and Lorentz were skirting around the edges of the special theory. Indeed, Poincare would have discovered the special theory if he had just made the leap of physical intuition that Einstein did. In this chapter we shall be concerned only with the special theory, since this deals with electromagnetic and optical phenomena.
3 citations
TL;DR: Rydzynska as mentioned in this paper showed that certain static particles from Bellert's space-time are equivalent to a free particle from classic Milne's space time, which is conformed with the new equivalence principle.
Abstract: In this paper, new ideas from our previous paper (Rydzynska, 1989)-i.e., problems connected with the new equivalence principle-have been developed. It is conformed, that certain static particles from Bellert's space-time are equivalent to a free particle from classic Milne's space-time. Mention is made of the algebraic structure of Bellert's space-time from (Rydzynska, 1990b). The space-time interval in this space-time, and its connection with a probability and the physical meaning of this interval and probability, has been defined. In the last section we derive dynamical equations for Bellert's space-time, i.e., we do the foundations of Bellert's general relativity theory.
2 citations
01 Jan 1990
TL;DR: In this paper, it was shown that all properties of the metric (1) that can be formulated in the language of its invariants are identical when these properties are considered in general relativity and in the RTG.
Abstract: It is clear that all properties of the metric (1) that can be formulated in the language of its invariants are identical when these properties are considered in general relativity and in the RTG. For example, the expressions for the cross section for capture of particles by a black hole in general relativity and a sufficiently compact body in the RTG are identical. Similarly, when we consider finite motion of particles in the RTG and in general relativity there are analogous sets of different types of motion of the particles (there is only the characteristic difference in the coordinate r characterized by the relation (6)).
TL;DR: In this article, a space-time translation of the T4 gauge theory of gravity on the Minkowski space time with appropriate choice of the Lagrangian was formulated, and the energy-momentum law of this theory was compared with that of new general relativity constructed on the Weitzenbock space time.
Abstract: We formulate a space-time translationT4 gauge theory of gravity on the Minkowski space-time with appropriate choice of the Lagrangian. By comparing the energy-momentum law of this theory with that of new general relativity constructed on the Weitzenbock space-time we find that in the classical limit the gauge potentials correspond to the parallel vector fields in the Weitzenbock space-time and the gauge field equation coincides with the field equation of gravity in new general relativity in the linearized version. Thus we conclude that in the classical limit theT4 gauge theory of gravity leads to the new general relativity.
TL;DR: In this paper, exact solutions for the vacuum field equations of General Projective Relativity of Arcidiacono (1986) are obtained for the non-static Einstein-Rosen metric (Einstein and Rosen, 1937).
Abstract: Exact solutions for the vacuum field equations of General Projective Relativity of Arcidiacono (1986) are obtained for the non-static Einstein-Rosen metric (Einstein and Rosen, 1937) The nature of singularities in these solutions is discussed
TL;DR: In this article, the vacuum field equations of general projective relativity have been solved for Liouville space-time and harmonic coordinate condition and singular behaviour of Kretschmann scalar for the solution is discussed.
Abstract: Vacuum field equations of general projective relativity have been solved for Liouville space-time. Finally harmonic coordinate condition and singular behaviour of Kretschmann scalar for the solution is discussed.
TL;DR: In this paper, a pedagogically oriented approach is proposed to explain possible deviations from the ordinary gravitational laws (both at the terrestrial and the galactic level) by exploiting and extending the role of the cosmological constant.
Abstract: In the recent literature, a few claims appeared about possible deviations from the ordinary gravitational laws (both at the terrestrial and the galactic level). The experimental evidence does not seem to be conclusive; nor it is clear if new forces are showing up, or if we have to accept actual deviations from Newton or Einstein gravitation (in the latter case, the validity of the very equivalence principle might be on the stage). In such a situation, the attempts by various authors at explaining the «new effects» juston the basis of the ordinary theory of general relativity (for instance, in terms of quantum gravity) can be regarded as logically questionable. In this pedagogically oriented paper we approach the problem within the classical realm, by exploring whether the possible new effects can be accounted for throughminimal modifications of the standard formulation of general relativity: in particular, through exploitation and extension of the role of the cosmological constant.
01 Jan 1990
01 Jan 1990
TL;DR: In this article, it was shown that a simple way of deducing the Schwarzschild's metric can be obtained only from postulate on light sphere displacement, which is not an accidental fact to my mind.
Abstract: It will be shown in this paper that a very simple way of deducing the Schwarzschild's metric can be obtained only from postulate on light sphere "displacement". This is not an accidental fact to my mind. Possibly the postulate gives a mathematical model for describing the mechanism of interaction of a particle with gravitational field, and contains a physical foundation of the general relativity theory. More detailed information is available in [1].