Area inequalities for stable marginally trapped surfaces

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Abstract

We discuss a family of inequalities involving the area, angular momentum and charges of stably outermost marginally trapped surfaces in generic non-vacuum dynamical spacetimes, with non-negative cosmological constant and matter sources satisfying the dominant energy condition. These inequalities provide lower bounds for the area of spatial sections of dynamical trapping horizons, namely hypersurfaces offering quasi-local models of black hole horizons. In particular, these inequalities represent particular examples of the extension to a Lorentzian setting of tools employed in the discussion of minimal surfaces in Riemannian contexts. © Springer Science+Business Media New York 2013.

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APA

Jaramillo, J. L. (2013). Area inequalities for stable marginally trapped surfaces. Springer Proceedings in Mathematics and Statistics, 26, 139–161. https://doi.org/10.1007/978-1-4614-4897-6_5

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