Results 41 to 50 of about 130,788 (348)
On geodesics in low regularity [PDF]
, 2017 We consider geodesics in both Riemannian and Lorentzian manifolds with metrics of low regularity. We discuss existence of extremal curves for continuous metrics and present several old and new examples that highlight their subtle interrelation with ...
Clemens Sämann, R. Steinbauer
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Characterizations of Morse Quasi-Geodesics via Superlinear Divergence and Sublinear Contraction [PDF]
Documenta Mathematica, 2016 We introduce and begin a systematic study of sublinearly contracting projections. We give two characterizations of Morse quasi-geodesics in an arbitrary geodesic metric space.
G. Arzhantseva +3 more
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Quantum corrected geodesics [PDF]
, 1999 We compute the graviton-induced corrections to the trajectory of a classical test particle. We show that the motion of the test particle is governed by an effective action given by the expectation value (with respect to the graviton state) of the ...
A. Ashtekar +26 more
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Mathematics, 2022 In shape analysis, the interpolation of shapes’ trajectories is often performed by means of geodesics in an appropriate Riemannian Shape Space. Over the past several decades, different metrics and shape spaces have been proposed, including Kendall shape ...
Valerio Varano +5 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.
Kycia, Radosław A., Ułan, Maria
openaire +2 more sources
The local and global geometrical aspects of the twin paradox in static spacetimes: I. Three spherically symmetric spacetimes [PDF]
, 2014 We investigate local and global properties of timelike geodesics in three static spherically symmetric spacetimes. These properties are of its own mathematical relevance and provide a solution of the physical `twin paradox' problem. The latter means that
Golda, Zdzisław A. +1 more
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Geodesics in supersymmetric microstate geometries [PDF]
, 2017 It has been argued that supersymmetric microstate geometries are classically unstable. One argument for instability involves considering the motion of a massive particle near the ergosurface of such a spacetime.
Felicity C. Eperon
semanticscholar +1 more source
Duality on Geodesics of Cartan Distributions and Sub-Riemannian Pseudo-Product Structures
Demonstratio Mathematica, 2015 Given a five dimensional space endowed with a Cartan distribution, the abnormal geodesics form another five dimensional space with a cone structure. Then it is shown in (15), that, if the cone structure is regarded as a control system, then the space of ...
Ishikawa Goo +2 more
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Metamorphoses of a photon sphere
, 2017 There are circular planar null geodesics at $r=3M$ around a Schwarzschild black hole of mass $M$. These geodesics form a photon sphere. Null geodesics of the Schwarzschild space-time which do not form the photon sphere are either escape to null infinity ...
Shoom, Andrey A.
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Multiple geodesics with the same direction [PDF]
, 2011 The directed last-passage percolation (LPP) model with independent exponential times is considered. We complete the study of asymptotic directions of infinite geodesics, started by Ferrari and Pimentel \cite{FP}.
Coupier, David
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