Coulomb field of an accelerated charge: physical and mathematical aspects

The Maxwell field equations relative to a uniformly accelerated frame, and the variational principle from which they are obtained, are formulated in terms of the technique of geometrical gauge invariant potentials. They refer to the transverse magnetic (TM) and the transeverse electric (TE) modes. This gauge invariant "2+2" decomposition is used to see how the Coulomb field of a charge, static in an accelerated frame, has properties that suggest features of electromagnetism which are different from those in an inertial frame. In particular, (1) an illustrative calculation shows that the Larmor radiation reaction equals the electrostatic attraction between the accelerated charge and the charge induced on the surface whose history is the event horizon, and (2) a spectral decomposition of the Coulomb potential in the accelerated frame suggests the possibility that the distortive effects of this charge on the Rindler vacuum are akin to those of a charge on a crystal lattice.Comment: 27 pages, PlainTex. Related papers available at http://www.math.ohio-state.edu/~gerlac

Quantum Mechanical Carrier of the Imprints of Gravitation

We exhibit a purely quantum mechanical carrier of the imprints of gravitation by identifying for a relativistic system a property which (i) is independent of its mass and (ii) expresses the Poincare invariance of spacetime in the absence of gravitation. This carrier consists of the phase and amplitude correlations of waves in oppositely accelerating frames. These correlations are expressed as a Klein-Gordon-equation-determined vector field whose components are the ``Planckian power'' and the ``r.m.s. thermal fluctuation'' spectra. The imprints themselves are deviations away from this vector field.Comment: 8 pages, RevTex. Html version of this and related papers on accelerated frames available at http://www.math.ohio-state.edu/~gerlac

Bubble wall perturbations coupled with gravitational waves

We study a coupled system of gravitational waves and a domain wall which is the boundary of a vacuum bubble in de Sitter spacetime. To treat the system, we use the metric junction formalism of Israel. We show that the dynamical degree of the bubble wall is lost and the bubble wall can oscillate only while the gravitational waves go across it. It means that the gravitational backreaction on the motion of the bubble wall can not be ignored.Comment: 23 pages with 3 eps figure

Equation of motion for a domain wall coupled to gravitational field

The equation of motion for a domain wall coupled to gravitational field is derived from the Nambu-Goto action. The domain wall is treated as a source of gravitational field. The perturbed equation is also obtained with gravitational back reaction on the wall motion taken into account. For general spherically symmetric background case, the equation is expressed in terms of the gauge-invariant variables.Comment: 13 pages, latex, no figures, uses REVTe

Inappropriateness of the Rindler quantization

It is argued that the Rindler quantization is not a correct approach to study the effects of acceleration on quantum fields. First, the "particle"-detector approach based on the Minkowski quantization is not equivalent to the approach based on the Rindler quantization. Second, the event horizon, which plays the essential role in the Rindler quantization, cannot play any physical role for a local noninertial observer.Comment: 3 pages, accepted for publication in Mod. Phys. Lett.

Analyticity of The Ground State Energy For Massless Nelson Models

We show that the ground state energy of the translationally invariant Nelson model, describing a particle coupled to a relativistic field of massless bosons, is an analytic function of the coupling constant and the total momentum. We derive an explicit expression for the ground state energy which is used to determine the effective mass.Comment: 33 pages, 1 figure, added a section on the calculation of the effective mas

The generalization of the Regge-Wheeler equation for self-gravitating matter fields

It is shown that the dynamical evolution of perturbations on a static spacetime is governed by a standard pulsation equation for the extrinsic curvature tensor. The centerpiece of the pulsation equation is a wave operator whose spatial part is manifestly self-adjoint. In contrast to metric formulations, the curvature-based approach to gravitational perturbation theory generalizes in a natural way to self-gravitating matter fields. For a certain relevant subspace of perturbations the pulsation operator is symmetric with respect to a positive inner product and therefore allows spectral theory to be applied. In particular, this is the case for odd-parity perturbations of spherically symmetric background configurations. As an example, the pulsation equations for self-gravitating, non-Abelian gauge fields are explicitly shown to be symmetric in the gravitational, the Yang Mills, and the off-diagonal sector.Comment: 4 pages, revtex, no figure

Der berufundfamilie-Index – ein Instrument zur Messung des betrieblichen Familienbewusstseins

Angestoßen durch die demografische Entwicklung und deren absehbaren volkswirtschaftlichen und gesellschaftlichen Folgen ist die Vereinbarkeit von Beruf und Familie in den vergangenen Jahren in Deutschland von einer eher randständigen Position ins Zentrum der deutschen Reformdiskussion gerückt. Unternehmen nehmen sich hierbei zunehmend als eigenständige Akteure wahr, die durch betriebsinterne Vereinbarkeitsmodelle dazu beitragen, die Elternschaft respektive die Pflege Familienangehöriger mit dem Berufsleben ihrer Mitarbeiter zu harmonisieren – unabhängig von staatlichen Reglementierungen und Steuerungsmodellen. Die in diesem Zusammenhang vertrauten Schlüsselbegriffe wie Familienbewusstsein, Familienorientierung oder Familienfreundlichkeit werden zwar häufig – und scheinbar synonym – verwendet, eine semantische Abgrenzung sowie eine detaillierte Betrachtung bleiben jedoch aus. Darüber hinaus fehlen valide Messinstrumente, die Aussagen darüber ermöglichen, ob und inwiefern Unternehmen familienbewusst sind. Vor diesem Hintergrund erscheint es von zentraler Bedeutung, Familienbewusstsein grundlegend zu konzeptualisieren und zu operationalisieren. Der vorliegende Beitrag soll zur Schließung dieser Forschungslücke beitragen.Due to the demographic development in Germany, the importance of reconciling work and family is constantly increasing. Companies progressively more perceive themselves as independent players, who contribute to the reconcilability of work and family by the use of family-friendly policies, independent from governmental regimentations and steering models. The keywords which are familiar in this context – Familienbewusstsein, Familienorientierung, Familienfreundlichkeit – are often and seemingly synonymously used but neither differentiated from each other nor in detail filled with meaning and content. Furthermore, attempts to state whether or not and in how far companies are family-friendly – in other words attempts to measure family consciousness – are missing. Taking this deficiency into account, it is of vital importance to conceptualise and operationalise family consciousness. This article aims at closing this gap

Study of fluid transients in closed conduits annual report no. 1

Atmospheric density effect on computation of earth satellite orbit