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Geometrical inequalities bounding angular momentum and charges in General Relativity
(Max Planck Institut Gravitational Physics-albert Einstein Institute, 2018-12-05)
Geometrical inequalities show how certain parameters of a physical system set restrictions on other parameters. For instance, a black hole of given mass can not rotate too fast, or an ordinary object of given size can not ...
Arrangements of rational sections over curves and the varieties they define
(EUROPEAN MATHEMATICAL SOC, 2011)
We introduce arrangements of rational sections over curves. They generalize line arrangements on P-2. Each arrangement of d sections defines a single curve in Pd-2 through the Kapranov's construction of (M) over bar (0,d+1). ...
Isoperimetric surfaces and area-angular momentum inequality in a rotating black hole in new massive gravity
(American Physical Society, 2018-03)
We study the existence and stability of isoperimetric surfaces in a family of rotating black holes in new massive gravity. We show that the stability of such surfaces is determined by the sign of the hair parameter. We use ...
Constant mean curvature surfaces and area-charge inequality for a spheroidal electrically counterpoised dust spacetime
(American Physical Society, 2020-11)
We consider the spacetime presented by Bonnor in 1998, whose matter content is a spheroid of electrically counterpoised dust, in the context of the geometrical inequalities between area and charge. We determine numerically ...
Inequality between size and charge in spherical symmetry
(American Physical Society, 2016-02-15)
We prove that, for a charged spherically symmetric body, twice the radius is always strictly greater than the charge of the body. We also prove that this inequality is sharp. Finally, we discuss the physical implications ...
O ESTUDO DE MÁXIMOS E MÍNIMOS SEM O USO DO CÁLCULO: UMA ABORDAGEM PARA O ENSINO MÉDIO
(Universidade Federal do Rio Grande do NorteBrasilUFRNEspecialização em Ensino de Matemática para o Ensino Médio, 2016-07-23)
Proof of the area–angular momentum–charge inequality for axisymmetric black holes
(IOP Publishing, 2013-03)
We give a comprehensive discussion, including a detailed proof, of the area–angular momentum–charge inequality for axisymmetric black holes. We analyze the inequality from several viewpoints, in particular including aspects ...
Sugeno integral and geometric inequalities
(WORLD SCIENTIFIC PUBLI CO PTE LTD., 2007)
Geometrical significance of the lowner-heinz inequality
(American Mathematical Society, 2000-03)
It is proven that the Lowner-Heinz inequality ∥A^tB^t∥ ∥AB∥^t, valid for all positive invertible operators A,B on the Hilbert space H and t ∈ [0, 1], has equivalent forms related to the Finsler structure of the space of ...