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The Self Gravitating Torus a New Astrophysical Object
Asher Yahalom
Isaac Newton Institute for Mathematical Sciences, 20 Clarkson Road, Cambridge CB3 0EH, United Kingdom
Ariel University, Ariel 40700, Israel
Flow equations being nonlinear are notoriously difficult to solve analytically. In this work we show that through the three independent
functions variational formalism for stationary barotropic flows one can obtain new analytical solutions of the flow equations.
This family of flows is constructed such that they flow on predetermined Bernoullian surfaces from which the rest of the variational
variables are derived. The flows obtained has non zero helicity and some of them are self-gravitating. Through the technique described
above the existence of a new astrophysical object; the self-gravitating torus was derived.
Bibliography
[1] Asher Yahalom "Using fluid variational variables to obtain new analytic solutions of self-gravitating flows with nonzero helicity"
Procedia IUTAM 7 (2013) 223 – 232.