The rate of growth of the magnetic energy density during a gravitational collapse.

Details The rate of growth of the magnetic energy density during a gravitational collapse. The rate of growth of the magnetic energy density during a gravitational collapse.

Mar 1976

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976gregr...7..287m&link_type=abstract

General Relativity and Gravitation, Volume 7, Issue 3, pp.287-291

Physics

3

Scientific paper

It is shown that during an isotropic gravitational collapse of a fluid with infinite electrical conductivity, the magnetic energy density cannot grow faster thanθ 4/3 no matter the equation of state, whereϱ is the total proper energy density. If the equation of state isθ=αθc 2, where 0⩽α⩽1, then the rate of growth of the magnetic energy density in such a collapse is proportional toρ 4/3(1+α). If an isotropic collapse is also locally adiabatic, it is shown, independently of any equation of state, that the rate of increase of the magnetic energy density is proportional tor 4/3, wherer is the proper material density. If the collapse is nonisotropic, shear can modify these results. Numerical estimates of the magnetic field strength at various stages in the collapse of a magnetic star are given.

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