A Model for Stars of Interacting Bosons and Fermions
Abstract
In this paper we introduce a current-current type interaction term in the Lagrangian density of gravity coupled to complex scalar fields, in the presence of a degenerated Fermi gas. For low transferred momenta such a term, which might account for the interaction among boson and fermion constituents of compact stellar objects, is subsequently reduced to a quadratic one in the scalar sector. This procedure enforces the use of a complex radial field counterpart in the equations of motion. The real and the imaginary components of the scalar field exhibit different behaviour as the interaction increases. The results also suggest that the Bose-Fermi system undergoes a BCS-like phase transition for a suitable choice of the coupling constant.
Keywords
Cite
@article{arxiv.gr-qc/9507043,
title = {A Model for Stars of Interacting Bosons and Fermions},
author = {Claudio M. G. de Sousa and J. L. Tomazelli},
journal= {arXiv preprint arXiv:gr-qc/9507043},
year = {2009}
}
Comments
08 pages, Latex, figures avaible upon request