Area-charge inequalities and rigidity of time-symmetric initial data sets

2025/07/17 by Cruz, Tiarlos, Mendes, Abraão
#Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc)

paper · doi:10.48550/arxiv.2507.13040

Abstract

In this paper, we establish new area-charge inequalities for the boundary of time-symmetric Einstein-Maxwell initial data sets, in both compact and noncompact cases, under the dominant energy condition. These inequalities lead to novel rigidity theorems with no analogues in the uncharged setting. In the noncompact case, our result is obtained by applying Gromov's μ-bubble technique in a new geometric context.

Citations

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Cited by

• Area-charge inequality and local rigidity in charged initial data sets

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