Inequality between size and charge in spherical symmetry
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2016Author
Anglada, Pablo Rubén
Dain, Sergio Alejandro
Ortiz, Omar Eduardo
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We prove that, for a charged spherically symmetric body, twice the radius is always strictly greater than the charge of the body. We also prove that this inequality is sharp. Finally, we discuss the physical implications of this geometrical inequality and present numerical examples that illustrate this theorem.
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Anglada, P., Dain, S. y Ortiz, O. (2016). Inequality between size and charge in spherical symmetry. Physical Review D, 93, 044055. https://doi.org/10.1103/PhysRevD.93.044055