2012/01/10 by José Luis Jaramillo, Jaramillo, José Luis
Physics and Astronomy · #Advanced Differential Geometry Research #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #gr-qc
paper · pdf · doi:10.48550/arxiv.1201.2054
22 pages, no figures; Contribution to the proceedings volume of the VI International Meeting on Lorentzian Geometry, GELOGRA'11, Granada, Spain, 6-9 September 2011
arxiv created 2012/01/10 · openalex publication_date 2012/01/10 · arxiv updated 2012/01/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.