Results 21 to 30 of about 1,795 (267)
From rotating to charged black holes and back again
Journal of High Energy Physics, 2022 The mild form of the Weak Gravity Conjecture (WGC) requires higher derivative corrections to extremal charged black holes to increase their charge-to-mass ratio. This allows decay via emission of a smaller extremal black hole.
Lars Aalsma, Gary Shiu
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Extremal Black Holes as Exact String Solutions [PDF]
Physical Review Letters, 1994 13 pages, harvmac, Imperial/TP/93-94/51, UCSBTH-94-24 (references added)
Horowitz, Gary T., Tseytlin, A. A.
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Exactly solvable gravitating perfect fluid solitons in (2 + 1) dimensions
Journal of High Energy Physics, 2018 The Bogomolnyi-Prasad-Sommerfield (BPS) baby Skyrme model coupled to gravity is considered. We show that in an asymptotically flat space-time the model still possesses the BPS property, i.e., admits a BPS reduction to first order Bogomolnyi equations ...
C. Adam +3 more
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Extremal Solutions for a Class of Unilateral Problems
Zeitschrift für Analysis und ihre Anwendungen, 2002 We apply a fixed point theorem for increasing operators in ordered Banach spaces to prove the existence of extremal (i.e. maximal or minimal) solutions for the variational inequality \langle Av, w – v\rangle ≥ \int _\Omega f(x, v)(w–v)dx where A
Huy, N. B., Thanh, N. D., Thanh, T. D.
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Construction Algorithm of Given Girth Graphs Based on Quantum Evolution [PDF]
Jisuanji gongcheng, 2017 To construct an extremal graph with a given girth is still a challenging problem of graph theory.Especially when the vertex number increasex combination explosion will appear.Thus,this paper proposes an algorithm for constructing graphs with given girth ...
FENG Xiaohua,SUN Yongqi
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From static to cosmological solutions of N $$ \mathcal{N} $$ = 2 supergravity
Journal of High Energy Physics, 2019 We obtain cosmological solutions with Kasner-like asymptotics in N $$ \mathcal{N} $$ = 2 gauged and ungauged supergravity by maximal analytic continuation of planar versions of non-extremal black hole solutions.
J. Gutowski, T. Mohaupt, G. Pope
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Topological stars, black holes and generalized charged Weyl solutions
Journal of High Energy Physics, 2021 We construct smooth static bubble solutions, denoted as topological stars, in five-dimensional Einstein-Maxwell theories which are asymptotic to ℝ1,3×S1. The bubbles are supported by allowing electromagnetic fluxes to wrap smooth topological cycles.
Ibrahima Bah, Pierre Heidmann
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Extremal Solutions of Functional Differential Inclusions
Journal of Mathematical Analysis and Applications, 1993 Let \(X\) be a separable Banach space; \({\mathcal K}\subset X\) be a cone and \(v: [-\tau,a]\to X\) be a solution of a problem \(\dot v(t)\in F(t,v_ t)+{\mathcal K}\), \(t\in [0,a]\); \(v_ 0\geq\varphi\), where \(F\) is a Carathéodory type multifunction with convex closed values satisfying the Ambrosetti type regularity condition. The viability result
Hu, S.C. +2 more
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Axioms, 2020 In this article, we discuss the existence and uniqueness of extremal solutions for nonlinear initial value problems of fractional differential equations involving the ψ -Caputo derivative. Moreover, some uniqueness results are obtained.
Choukri Derbazi +3 more
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The extremal solution for the fractional Laplacian [PDF]
Calculus of Variations and Partial Differential Equations, 2013 We study the extremal solution for the problem $(-Δ)^s u=λf(u)$ in $Ω$, $u\equiv0$ in $\R^n\setminusΩ$, where $λ>0$ is a parameter and $s\in(0,1)$. We extend some well known results for the extremal solution when the operator is the Laplacian to this nonlocal case.
Ros Oton, Xavier +1 more
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