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arXiv · 0812.2508

Dynamics of a self-gravitating neutron source

D. Manreza Paret·A. Perez Martinez·A. Ulacia Rey·Roberto A. Sussman
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Abstract

We examine the dynamics of a self--gravitating magnetized neutron gas as a source of a Bianchi I spacetime described by the Kasner metric. The set of Einstein-Maxwell field equations can be expressed as a dynamical system in a 4-dimensional phase space. Numerical solutions of this system reveal the emergence of a point--like singularity as the final evolution state for a large class of physically motivated initial conditions. Besides the theoretical interest of studying this source in a fully general relativistic context, the resulting idealized model could be helpful in understanding the collapse of local volume elements of a neutron gas in the critical conditions that would prevail in the center of a compact object.

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D. Manreza Paret, A. Perez Martinez, A. Ulacia Rey, Roberto A. Sussman. 2008-12-13. Dynamics of a self-gravitating neutron source. https://doi.org/10.1088/1475-7516/2010/03/017

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