Linear gravitational waves and electrodynamic formalism in cosmology

Tomaschitz, Roman

doi:10.1007/bf02435795

Cited by 4 publications

(1 citation statement)

References 9 publications

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“…This amounts to a weak angular dependence η of the temperature. The same reasoning holds true for the graviton background radiation in extended RW cosmology [Tomaschitz, 1997].…”

Section: Remarksmentioning

confidence: 52%

Chaos and Topological Evolution in Cosmology

Tomaschitz

1997

Int. J. Bifurcation Chaos

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An elementary account on the chaoticity of galactic world-lines in an open universe is given. A new type of cosmic evolution by global metrical deformations, unpredicted by Einstein's equations, is pointed out. Physical effects of this evolution are backscattering of electromagnetic fields and particle creation in quantum fields. We review in an untechnical way how global metrical deformations of the open and multiply connected spacelike slices induce angular fluctuations in the temperature of the cosmic microwave background radiation.Our contemporary understanding of the global structure of the Universe is based on the assumption of a space-time continuum, a curved fourdimensional world. The observational evidence for this is actually scarce, but it offers at any rate a very simple qualitative explanation of the cosmic redshifts [Weinberg, 1972]. The second motivation to model the Universe as a Riemannian four-manifold, was the successful application of Riemannian geometry in explaining planetary perihelion shifts, and the deflection of light by gravitating bodies. These are local phenomena, which can be explained by introducing a Riemannian metric on a single coordinate chart. In cosmology, however, we are concerned with the global structure, with the topology of the four-manifold.In local problems of general relativity, on a single co-ordinate chart, Einstein's equations completely determine the evolution of the metric, once the energy-momentum tensor of the local gravitational sources is known. In cosmology we have to consider the evolution of the metric as well as the evolution of the topology of space-time. Einstein's equations certainly do not give any hint on the topology, and the evolution of the metric is likewise undetermined, because we do not know the energy-momentum tensor of the matter distribution in the Universe, nor the boundary conditions to be imposed. It is in my opinion pointless to hunt for elusive laws of cosmic evolution, the modeling employed in such endeavors is always copied from finite classical or quantum systems, and there is no reason to assume that the Universe is a finite Hamiltonian system like any other. A much more promising approach to cosmology is to figure out possibilities of cosmic evolution, and to think over which local physical manifestations they can have.Cosmology deals with the global structure of the Universe, local inhomogeneities are averaged out. This means that we assume the spacelike sections of the Universe as constantly curved, which reflects local homogeneity and isotropy. The threedimensional, real space should be of constant curvature. Taking the space expansion into account, which is essential to explain the red-shifts, we end up with a Robertson-Walker (RW) line element 1847

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“…This amounts to a weak angular dependence η of the temperature. The same reasoning holds true for the graviton background radiation in extended RW cosmology [Tomaschitz, 1997].…”

Section: Remarksmentioning

confidence: 52%

Chaos and Topological Evolution in Cosmology

Tomaschitz

1997

Int. J. Bifurcation Chaos

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Topological evolution and cosmic chaos

Tomaschitz

1997

Reports on Mathematical Physics

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Nonlinear non-relativistic gravity

Tomaschitz

1998

Chaos, Solitons & Fractals

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Abstract*A phenomenological theory of gravitation is proposed\ based on a pre!relativistic approach to electromagnetism[ The general relativistic\ purely geometric\ spacetime conception is criticized[ Space itself is assumed to have physical substance[ This substance\ the ether\ manifests by its permeability[ Gravitational _elds do not curve space\ but rather distort the ether\ and so a}ect its permeability[ The permeability determines the speed of light\ which is varying as in a dielectric medium[ The theory is only in certain limits Lorentz invariant^the concept of a uniformly moving observer is likewise only approximate\ and so is the principle of equivalence[ Nonlinear _eld equations for the scalar gravitational _eld as well as the per! meability tensor of the ether are constructed in a way to _t the classical experiments on gravitation[ Estimates on the variation of the speed of light in our solar system are given[ Þ 0887 Elsevier Science Ltd[ All rights reserved

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Linear gravitational waves and electrodynamic formalism in cosmology

Cited by 4 publications

References 9 publications

Chaos and Topological Evolution in Cosmology

Chaos and Topological Evolution in Cosmology

Topological evolution and cosmic chaos

Nonlinear non-relativistic gravity

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