All the solutions of a three‐dimensional dynamical system describing the static and spherically symmetric solutions for a nonlinear scalar field of the Born–Infeld type are studied qualitatively. It is shown that a horizon exists for a large class of solutions in which the scalar field is finite. However, this horizon is singular. In another class of solutions, naked singularities with an everywhere well‐behaved scalar field have been found.
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© 1995 American Institute of Physics.
1995
American Institute of Physics
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