1201.6105 (Zoran Pazameta)

A General Relativistic Model for Magnetic Monopole-Infused Compact
Objects    [PDF]

Zoran Pazameta

Emergent concepts from astroparticle physics are incorporated into a
classical solution of the Einstein-Maxwell equations for a binary
magnetohydrodynamic fluid, in order to describe the final equilibrium state of
compact objects infused with magnetic monopoles produced by proton-proton
collisions within the intense dipolar magnetic fields generated by these
objects during their collapse. It is found that the effective mass of such an
object's acquired monopolar magnetic field is three times greater than the mass
of its native fluid and monopoles combined, necessitating that the interior
matter undergo a transition to a state of negative pressure in order to attain
equilibrium. Assuming full symmetry between the electric and magnetic Maxwell
equations yields expressions for the monopole charge density and magnetic field
by direct analogy with their electrostatic equivalents; inserting these into
the Einstein equations then leads to an interior metric which is well-behaved
from the origin to the surface, where it matches smoothly to an exterior
magnetic Reissner-Nordstr\"om metric free of any coordinate pathologies. The
source fields comprising the model are all described by simple, well-behaved
polynomial functions of the radial coordinate, and are combined with
straightforward regularity conditions to yield expressions delimiting several
fundamental physical parameters pertaining to this hypothetical astrophysical
object.

View original: http://arxiv.org/abs/1201.6105