Results 21 to 30 of about 16,494 (299)
The forces and Penrose process in Friedman spacetime
Physics of Complex Systems, 2021 In this paper, we compare the force expressions in both comoving synchronous and Ellis coordinate systems in Friedman-Robertson-Walker spacetime in order to understand how the coordinate transformation affects the inertial forces.
Андрей Анатольевич Гриб +1 more
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Integrability of Geodesics of Totally Geodesic Metrics [PDF]
, 2019 Analysis of the geodesics in the space of signature $(1,3)$ that splits in two-dimensional distributions resulting from the Weyl tensor eignespaces - hyperbolic and elliptic ones - described in [V. Lychagin, V. Yumaguzhin, \emph{Differential invariants and exact solutions of the Einstein equations}, Anal.Math.Phys.
Radosław A. Kycia, Ułan, Maria
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Learning and the Development of Contexts for Action
Frontiers in Human Neuroscience, 2011 Neurophysiological evidence from animal studies suggests that frontal corticolimbic systems support early stages of learning, whereas later stages involve context representation formed in hippocampus and posterior cingulate cortex.
Phan eLuu +7 more
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European Physical Journal C: Particles and Fields, 2023 The existence of null circular geodesics in the background of non-extremal spherically symmetric asymptotically flat black holes has been proved in previous works.
Yan Peng
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Time-Course of Cortical Networks Involved in Working Memory
Frontiers in Human Neuroscience, 2014 Working memory (WM) is one of the most studied cognitive constructs. Although many neuroimaging studies have identified brain networks involved in WM, the time course of these networks remains unclear.
Phan eLuu +8 more
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Robust Geodesic Regression [PDF]
International Journal of Computer Vision, 2022 This paper studies robust regression for data on Riemannian manifolds. Geodesic regression is the generalization of linear regression to a setting with a manifold-valued dependent variable and one or more real-valued independent variables. The existing work on geodesic regression uses the sum-of-squared errors to find the solution, but as in the ...
Ha Young Shin, Hee-Seok Oh
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Geodesic Geometry on Graphs [PDF]
Discrete & Computational Geometry, 2022 We investigate a graph theoretic analog of geodesic geometry. In a graph $G=(V,E)$ we consider a system of paths $\mathcal{P}=\{P_{u,v}|u,v\in V\}$ where $P_{u,v}$ connects vertices $u$ and $v$. This system is consistent in that if vertices $y, z$ are in $P_{u,v}$, then the sub-path of $P_{u,v}$ between them coincides with $P_{y,z}$.
Daniel Cizma, Nati Linial
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Kerr Geodesics in Terms of Weierstrass Elliptic Functions
, 2023 We provide a code package written in Wolfram Mathematica to calculate the motion of test particles around a Kerr black hole. The novel analytical solutions describe both timelike and null geodesics.
Hackmann, Eva +2 more
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Closed geodesics on surfaces [PDF]
, 2022 We consider surfaces of three types: the sphere, the torus, and many-holed tori. These surfaces naturally admit geometries of positive, zero, and negative curvature, respectively.
Dozier, Benjamin
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CoRR, 2012 We introduce the heat method for computing the shortest geodesic distance to a specified subset (e.g., point or curve) of a given domain. The heat method is robust, efficient, and simple to implement since it is based on solving a pair of standard linear elliptic problems. The method represents a significant breakthrough in the practical computation of
Crane, Keenan +2 more
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