Conformal Positive Mass Theorems for Manifolds with Charge

In this paper, we prove conformal positive mass theorems for asymptotically flat manifolds with charge. We apply conformal relations to show that if the conformal sum of scalar curvature is not less than the norm square of electric field and electric density, the sum of the mass will not less than t...

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Bibliographic Details
Published inarXiv.org
Main Author Wang, Qizhi
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 08.10.2019
Subjects
Boundary conditions
Electric fields
Manifolds
Theorems
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Summary:In this paper, we prove conformal positive mass theorems for asymptotically flat manifolds with charge. We apply conformal relations to show that if the conformal sum of scalar curvature is not less than the norm square of electric field and electric density, the sum of the mass will not less than the modulus of total electric charge. We also study the situation with inner boundary condition and manifolds with scalar charge.
ISSN:2331-8422