Astronomy and Astrophysics – Astrophysics
Scientific paper
Jul 2005
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2005gregr..37.1163s&link_type=abstract
General Relativity and Gravitation, Volume 37, Issue 7, pp.1163-1175
Astronomy and Astrophysics
Astrophysics
Galactic Cosmology, Gravitational Collapse, Neutron Star, Relativistic Astrophysics, Rmhd
Scientific paper
It is found from Maxwell’s equations that the magnetic field lines are good analogues of relativistic strings. The Lorentz force per unit length of magnetic tube is interpretable as Magnus force acting on each individual magnetic tube. It is shown that the superconducting current in pulsar’s interior causes local rotation of magnetic flux tubes carrying quantized flux. Such local rotation remains operative as long as the induced magnetic field of normal electron fluid is above the lower critical field but below the upper. The conservation of magnetic flux leads to a geometrical condition in the form of the Weingarten identity which ensures the existence of family of “magnetic world sheetrdquo;. Each “magnetic world sheet” is a magnetic flux conserving surface. In the process of collapse, a compact spacelike cross-section of a magnetic tube terminates into a trapped surface if the magnetic energy grows faster along the fluid flow lines than that along the magnetic field lines.
Singh Ravi Shankar
Sinha Kalyan B.
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