On a Dielectric Formalism for Dynamical Problems in Curved Space-Time Geometries

Details On a Dielectric Formalism for Dynamical Problems in Curved Space-Time Geometries On a Dielectric Formalism for Dynamical Problems in Curved Space-Time Geometries

Dec 2006

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2006agufmsh53b1490b&link_type=abstract

American Geophysical Union, Fall Meeting 2006, abstract #SH53B-1490

Astronomy and Astrophysics

Astronomy

7539 Stellar Astronomy, 7544 Stellar Interiors And Dynamo Theory, 7554 X-Rays, Gamma Rays, And Neutrinos, 7594 Instruments And Techniques, 9820 Techniques Applicable In Three Or More Fields

Scientific paper

The physical structure of neutron stars varies tremendously both in terms of composition and dynamical properties from the charge-separated plasma outer magnetosphere to the exotic superconducting superfluid hyperon-quark condensate that is believed to constitute the inner core. A proper characterization of the interactions that govern the behavior of this system requires a detailed Lagrangian that accounts for effects such as superfluidity, general relativity, the formation of vortex structures, transfusion and the "entrainment" effect. Moreover, essential to making the simulation of neutron star phenomena tractable is the decomposition of the Lagrangian into components that can be seamlessly incorporated into the Einstein-Maxwell Field Equations. Upon segregating the effects that are significant in each particular layer and/or regime, the dynamic coupling of vastly different dielectric media can be achieved by exploiting self-similarity. In so doing, various phenomena such as glitches, magnetic braking, X-ray and gamma-ray bursts and the propagation and dissipation of gravitational waves can be studied comprehensively. A constrained non-relativistic version of this approach also has application to dynamic coupling in solar and magnetospheric physics.

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