Mathematics – Logic
Scientific paper
Sep 2011
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2011head...12.1803l&link_type=abstract
American Astronomical Society, HEAD meeting #12, #18.03
Mathematics
Logic
Scientific paper
Understanding possible EM signatures of the merging and collapsing compact object is important for identifying possible sources of LIGO & LISA signals. We estimate the electromagnetic powers that can be produced as a precursor to the merger, as a prompt emission during the collapse of a NS and at the spin-down stage of the resulting Kerr BH.
In particular, we find exact non-linear time-dependent structure of magnetospheres of spinning and collapsing NSs in Schwarzschild geometry. Based on this solution,
we argue that the collapse of a NS into the BH happens smoothly, without natural formation of current sheets or other dissipative structures on the open field lines and, thus, does not allow the magnetic field to become disconnected from the star and escape to infinity. Thus, as long as an isolated Kerr BH can produce plasma and currents, it does not lose its open magnetic field lines, its magnetospheric structure evolved towards a split monopole and the BH spins down electromagnetically (the closed field lines get absorbed by the hole). The "no hair theorem", which assumes that the outside medium is a vacuum, is not applicable in this case: highly conducting plasma introduces a topological constraint forbidding the disconnection of the magnetic field lines from the BH. Eventually, a single random large scale spontaneous reconnection event will lead to magnetic field release, shutting down the BH engine forever.
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