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Born-Infeld electrostatics in the complex plane

1 Pith paper cite this work. Polarity classification is still indexing.

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abstract

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.

fields

gr-qc 1

years

2025 1

verdicts

UNVERDICTED 1

representative citing papers

Born-Infeld Electrogravity and Dyonic Black Holes

gr-qc · 2025-11-07 · unverdicted · novelty 6.0

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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Showing 1 of 1 citing paper.

  • Born-Infeld Electrogravity and Dyonic Black Holes gr-qc · 2025-11-07 · unverdicted · none · ref 22 · internal anchor

    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.