Reduction arguments for geometric inequalities associated with asymptotically hyperboloidal slices. (English) Zbl 1332.83013
Summary: We consider several geometric inequalities in general relativity involving mass, area, charge, and angular momentum for asymptotically hyperboloidal initial data. We show how to reduce each one to the known maximal (or time symmetric) case in the asymptotically flat setting, whenever a geometrically motivated system of elliptic equations admits a solution.
MSC:
| 83C05 | Einstein’s equations (general structure, canonical formalism, Cauchy problems) |
| 83C57 | Black holes |
| 53Z05 | Applications of differential geometry to physics |
| 83C25 | Approximation procedures, weak fields in general relativity and gravitational theory |
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