Area inequalities for stable marginally trapped surfaces

Details Area inequalities for stable marginally trapped surfaces Area inequalities for stable marginally trapped surfaces

2012-01-10

arxiv.org/abs/1201.2054v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

22 pages, no figures; Contribution to the proceedings volume of the VI International Meeting on Lorentzian Geometry, GELOGRA'1

Scientific paper

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.

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