A Gibbons-Penrose inequality for surfaces in Schwarzschild spacetime. (English) Zbl 1306.83001
In the present work the authors extend the Gibbons-Penrose inequality, which holds for spacelike 2-surfaces in Minkowski spacetime, for the more general case of a Schwarzschild spacetime. They prove that the extended inequality is true in four important situations.
Reviewer: Gil de Oliveira-Neto (Minas Gerais)
MSC:
| 83-02 | Research exposition (monographs, survey articles) pertaining to relativity and gravitational theory |
| 53Z05 | Applications of differential geometry to physics |
| 83C15 | Exact solutions to problems in general relativity and gravitational theory |
| 83C57 | Black holes |
| 83C75 | Space-time singularities, cosmic censorship, etc. |
Keywords:
Gibbons-Penrose inequality; Schwarzschild spacetime; spacelike 2-surfaces; general relativityReferences:
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