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Initial value problem for the constant mean curvature equation in the Reissner-NordstrÖm spacetime

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We characterize all spacelike and spherically symmetric constant mean curvature hypersurfaces in the maximally extended Reissner–Nordstrom spacetimes. These characterizations also provide a proof of the existence and uniqueness of the… Click to show full abstract

We characterize all spacelike and spherically symmetric constant mean curvature hypersurfaces in the maximally extended Reissner–Nordstrom spacetimes. These characterizations also provide a proof of the existence and uniqueness of the initial value problem for the spacelike and spherically symmetric constant mean curvature equation in the maximally extended Reissner–Nordstrom spacetimes.

Keywords: mean curvature; reissner; constant mean; initial value

Journal Title: Reports on Mathematical Physics
Year Published: 2021

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