59 research outputs found
Spin-axion coupling
We establish a new covariant phenomenological model, which describes an
influence of pseudoscalar (axion) field on spins of test massive particles. The
model includes general relativistic equations of particle motion and spin
evolution in background pseudoscalar (axion), electromagnetic and gravitational
fields. It describes both the direct spin-axion coupling of the gradient type
and indirect spin-axion interaction mediated by electromagnetic fields. Special
attention is paid to the direct spin-axion coupling caused by the gradient of
the pseudoscalar (axion) field. We show that it describes a spin precession,
when the pseudoscalar (axion) field is inhomogeneous and/or non-stationary.
Applications of the model, which correspond to the three types of four-vectors
attributed to the gradient of the pseudoscalar (axion) field (time-like,
space-like, and null), are considered in detail. These are the spin precessions
induced by relic cosmological axions, axions distributed around spherically
symmetric static objects, and axions in a gravitational wave field,
respectively. We discuss features of the obtained exact solutions and some
general properties of the axionically induced spin rotation.Comment: 15 pages; replaced with the version accepted for publication in Phys.
Rev. D; new Subsection IVB and 13 references are adde
The Maxwell--Boltzmann gas with non-standard self--interactions: a novel approach to galactic dark matter
Using relativistic kinetic theory, we study spherically symmetric, static
equilibrium configurations of a collisionless Maxwell-Boltzmann gas with
non-standard self-interactions, modelled by an effective one--particle force.
The resulting set of equilibrium conditions represents a generalization of the
classical Tolman-Oppenheimer-Volkov equations. We specify these conditions for
two types of Lorentz--like forces: one coupled to the 4-acceleration and the
4--velocity and the other one coupled to the Riemann tensor. We investigate the
weak field limits in each case and show that they lead to various Newtonian
type configurations that are different from the usual isothermal sphere
characterizing the conventional Newtonian Maxwell--Boltzmann gas. These
configurations could provide a plausible phenomenological and theoretical
description of galactic dark matter halo structures. We show how the
self--interaction may act phenomenologically as an effective cosmological
constant and discuss possible connections with Modified Newtonian
Dynamics(MOND).Comment: 12 pages, 2 figures, minor correction
Archimedean-type force in a cosmic dark fluid: II. Qualitative and numerical study of a multistage Universe expansion
In this (second) part of the work we present the results of numerical and
qualitative analysis, based on a new model of the Archimedean-type interaction
between dark matter and dark energy. The Archimedean-type force is linear in
the four-gradient of the dark energy pressure and plays a role of
self-regulator of the energy redistribution in a cosmic dark fluid. Because of
the Archimedean-type interaction the cosmological evolution is shown to have a
multistage character. Depending on the choice of the values of the model
guiding parameters,the Universe's expansion is shown to be perpetually
accelerated, periodic or quasiperiodic with finite number of
deceleration/acceleration epochs. We distinguished the models, which can be
definitely characterized by the inflation in the early Universe, by the
late-time accelerated expansion and nonsingular behavior in intermediate
epochs, and classified them with respect to a number of transition points.
Transition points appear, when the acceleration parameter changes the sign,
providing the natural partition of the Universe's history into epochs of
accelerated and decelerated expansion. The strategy and results of numerical
calculations are advocated by the qualitative analysis of the instantaneous
phase portraits of the dynamic system associated with the key equation for the
dark energy pressure evolution.Comment: 15 pages, 12 figures, Part II, typos corrected, Fig.4 replaced,
references correcte
Parametric phenomena of the particle dynamics in a periodic gravitational wave field
We establish exactly solvable models for the motion of neutral particles,
electrically charged point and spin particles (U(1) symmetry), isospin
particles (SU(2) symmetry), and particles with color charges (SU(3) symmetry)
in a gravitational wave background. Special attention is devoted to parametric
effects induced by the gravitational field. In particular, we discuss
parametric instabilities of the particle motion and parametric oscillations of
the vectors of spin, isospin, and color charge.Comment: 26 pages, to be published in J. Math. Phy
Non-minimal coupling for the gravitational and electromagnetic fields: A general system of equations
We establish a new self-consistent system of equations for the gravitational
and electromagnetic fields. The procedure is based on a non-minimal non-linear
extension of the standard Einstein-Hilbert-Maxwell action. General properties
of a three-parameter family of non-minimal linear models are discussed. In
addition, we show explicitly, that a static spherically symmetric charged
object can be described by a non-minimal model, second order in the derivatives
of the metric, when the susceptibility tensor is proportional to the
double-dual Riemann tensorComment: 15 page
Cherenkov radiation in a gravitational wave background
A covariant criterion for the Cherenkov radiation emission in the field of a
non-linear gravitational wave is considered in the framework of exact
integrable models of particle dynamics and electromagnetic wave propagation. It
is shown that vacuum interacting with curvature can give rise to Cherenkov
radiation. The conically shaped spatial distribution of radiation is derived
and its basic properties are discussed.Comment: LaTeX file, no figures, 19 page
Axion-induced oscillations of cooperative electric field in a cosmic magneto-active plasma
We consider one cosmological application of an axionic extension of the
Maxwell-Vlasov theory, which describes axionically induced oscillatory regime
in the state of global magnetic field evolving in the anisotropic expanding
(early) universe. We show that the cooperative electric field in the
relativistic plasma, being coupled to the pseudoscalar (axion) and global
magnetic fields, plays the role of a regulator in this three-level system; in
particular, the cooperative (Vlasov) electric field converts the regime of
anomalous growth of the pseudoscalar field, caused by the axion-photon coupling
at the inflationary epoch of the universe expansion, into an oscillatory regime
with finite density of relic axions. We analyze solutions to the dispersion
equations for the axionically induced cooperative oscillations of the electric
field in the relativistic plasma.Comment: 7 pages, misprints correcte
Non-minimal coupling of photons and axions
We establish a new self-consistent system of equations accounting for a
non-minimal interaction of gravitational, electromagnetic and axion fields. The
procedure is based on a non-minimal extension of the standard
Einstein-Maxwell-axion action. The general properties of a ten-parameter family
of non-minimal linear models are discussed. We apply this theory to the models
with pp-wave symmetry and consider propagation of electromagnetic waves
non-minimally coupled to the gravitational and axion fields. We focus on exact
solutions of electrodynamic equations, which describe quasi-minimal and
non-minimal optical activity induced by the axion field. We also discuss
empirical constraints on coupling parameters from astrophysical birefringence
and polarization rotation observations.Comment: 31 pages, 2 Tables; replaced with the final version published in
Classical and Quantum Gravit
Optical activity induced by curvature in a gravitational pp-wave background
We study optical activity induced by curvature. The optical activity model we
present has two phenomenological gyration parameters, within which we analyze
three model cases, namely, an exactly integrable model, the Landau-Lifshitz
model and the Fedorov model, these latter two are solved in the short
wavelength approximation. The model background is a gravitational pp-wave. The
solutions show that the optical activity induced by curvature leads to Faraday
rotation.Comment: 16 pages, late
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