Born-Infeld electrostatics in the complex plane
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The complex method to obtain 2-dimensional Born-Infeld electrostatic solutions is presented in a renewed form. The solutions are generated by a holomorphic seed that makes contact with the Coulombian complex potential. The procedure is exemplified by solving the Born-Infeld multipolar configurations. Besides, it is shown that the attractive force between two equal but opposite charges is lower than its Coulombian partner; it decreases up to vanish when the charges approach each other below a distance ruled by the Born-Infeld constant.
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Born-Infeld Electrogravity and Dyonic Black Holes
Born-Infeld electrogravity yields a fundamental extremal dyonic black hole in the small-charge limit whose mass and horizon area depend only on the Born-Infeld constant, Newton’s constant, and the speed of light.
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