Born-Infeld Theory:
Born-Infeld Theory:
Born-Infeld Theory:
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φ<br />
Singular solutions of BI <strong>Theory</strong><br />
In BI theory singular solutions have finite energy!<br />
Typical example: “Catenoid” solution of scalar BI <strong>Theory</strong> in 4dim<br />
Catenoid is static spherically symmetrical solution,<br />
it looks like BI-on solution, but with singularity in its derivative<br />
at finite radius (so called “horizon” surface).<br />
BI − on<br />
() r = C<br />
∞<br />
∞<br />
dx<br />
dx<br />
∫ φcatenoid<br />
() r = C∫<br />
4 2<br />
4 2<br />
r x + C<br />
r x − C
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