Gravitating vortices with positive curvature
WebNov 21, 2024 · Gravitating vortices with positive curvature. We give a complete solution to the existence problem for gravitating vortices with non-negative topological constant … Webgravitating vortex equations, given by i F+ 1 2 (j˚j2 ˝) = 0; S+ ( + ˝)(j˚j2 ˝) = c: (1.4) The unknowns of the gravitating vortex equations are a K ahler metric g on and a hermitian metric hon L. Here, Fis the curvature of the Chern connection of h, Fis its contraction by the K ahler form of g, j˚jis the pointwise norm of ˚with respect ...
Gravitating vortices with positive curvature
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WebApr 30, 2010 · Plots of the sign of the curvature, with white for positive curvature. (a) The Gaussian bump, and (b) and (c) the saddle surfaces with λ = 1 and 17, respecitvely. Because of the lack of symmetry in (c), the center point becomes a saddle point of the energy; the vortex is pushed away by the strong positive curvature in the ellipsoidal … WebAug 5, 2024 · Heren is a positive integer called the winding number. So vortices are characterized by their values of v and n. ... k and k0 are the extrinsic curvature of Ct …
WebVortices are non-singular field configurations in $2+1$ dimensions that have finite energy. ... These vortices have positive mass and are not BTZ black holes as they have no event horizon. ... At the origin, the spacetime has its highest curvature and there is no singularity. It transitions to an asymptotic conical spacetime with angular ... WebIn this paper we construct new solutions of the Kähler–Yang–Mills equations, by applying dimensional reduction methods to the product of the complex projective line with a …
WebSep 2, 2024 · We study the self-gravitating Abrikosov vortex in curved space with and with-out a (negative) cosmological constant, considering both singular and non-singular solutions with an eye to hairy black holes. In the asymptotically flat case, we find that non-singular vortices round off the singularity of the point particle’s metric in 3 dimensions, … WebNov 21, 2024 · Title:Gravitating vortices with positive curvature Authors:Mario Garcia-Fernandez, Vamsi Pritham Pingali, Chengjian Yao Download PDF Abstract:We give a complete solution to the existence problem for gravitating vortices with non-negative topological constant $c \geqslant 0$. Our first main result
WebGravitating vortices with positive curvature Advances in Mathematics . 10.1016/j.aim.2024.107851 home mercy care mercycareaz.orgWebNow on home page. ads; Enable full ADS home merchantile truroWebMar 1, 2024 · Here Δ g is Laplace-Beltrami operator induced by the metric g, K g is the Gaussian curvature of g, δ p j is the Dirac distribution on (S, ω) concentrated at p j, where ω is the area (volume) form of g, and τ, ε, a are positive real constants. With our convention, the Laplacian has negative eigenvalues. home merchant cityWebGravitating vortices with positive curvature 10 0 0.0 ( 0 ) Download Cite. Added by Mario Garcia-Fernandez. Publication date 2024. fields. and research's language is English … home merchandiseWebSep 17, 2024 · In the case c > 0, which is most relevant for the present work, it implies that the Kähler metric of the gravitating vortices must have positive curvature. Proposition … homemeridian.com loginWebIn this talk I will overview recent joint work with Vamsi Pingali and Chengjian Yao in arXiv:1911.09616 about gravitating vortices. These equations couple ... home merchant of veniceWebIn this paper we construct new solutions of the Kähler–Yang–Mills equations, by applying dimensional reduction methods to the product of the complex projective line with a compact Riemann surface. The resulting equations, which we call gravitating vortex equations, describe abelian vortices on the Riemann surface with back reaction of the metric. As a … home merchandise dreamworks