Results 111 to 120 of about 29,467 (233)
An attempt to geometrize electromagnetism
This study investigates the curved worldline of a charged particle accelerated by an electromagnetic field in flat spacetime. A new metric, which dependes on the charge-to-mass ratio and electromagnetic potential, is proposed to describe the curve ...
Huang XiuLin, Xu Yan, Liu ChengZhi
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Ricci-flat K�hler metrics on affine algebraic manifolds. II
[For part I, cf. Proc. 21st Int. Taniguchi Symp., Katata/Japan, Conf., Kyoto/Japan 1987, Lect. Notes Math. 1339, 20-31 (1988; Zbl 0659.53048).] Let X be a compact Fano manifold and D be a smooth reduced divisor in X such that \(c_ 1(X)=\alpha [D]\) with \(\alpha >1\). If D admits an Einstein-Kähler metric, then there exists a complete Ricci-flat Kähler
Kobayashi, Ryoichi, Bando, Shigetoshi
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We study the perturbative unitarity of scattering amplitudes in general dimensional reductions of Yang-Mills theories and general relativity on closed internal manifolds.
James Bonifacio, Kurt Hinterbichler
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We consider a multidimensional Kaluza-Klein (KK) model with a Ricci-flat internal space, for example, a Calabi-Yau manifold. We perturb this background metrics by a system of gravitating masses, for example, astrophysical objects such as our Sun.
Alexey Chopovsky +2 more
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Some rigidity results for noncompact gradient steady Ricci solitons and Ricci-flat manifolds [PDF]
Fei He
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Learning group invariant Calabi–Yau metrics by fundamental domain projections
We present new invariant machine learning models that approximate the Ricci-flat metric on Calabi–Yau (CY) manifolds with discrete symmetries. We accomplish this by combining state of the art models for predicting such metrics, based on the so-called φ ...
Yacoub Hendi +2 more
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GEOMETRIZED VACUUM PHYSICS. PART II: ALGEBRA OF SIGNA-TURES
This article is the second part of a scientific project under the general name "Geometrized vacuum physics". On the basis of the Algebra of Stignatures presented in the previous article (Batanov-Gaukhman, 2023), this article devel-ops the main provisions
Mikhail Batanov-Gaukhman
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Gravitational Solitons and Complete Ricci Flat Riemannian Manifolds of Infinite Topological Type [PDF]
Marcus Khuri +3 more
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The object of the present paper is to study a special type of spacetime. It is proved that in a conformally flat (W RS)4 spacetime with non-zero scalar curvature the vector field p defined by ɡ(X, p) = E(X) is irrotational and the integral curves of the ...
Mallick Sahanous, Chand De Uday
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AInstein: numerical Einstein metrics via machine learning
A new semi-supervised machine learning package is introduced which successfully solves the Euclidean vacuum Einstein equations with a cosmological constant, without any symmetry assumptions.
Edward Hirst +2 more
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