Farook Rahaman · 2021
According to general theory of relativity, gravitation is not a force but a property of spacetime geometry. A test particle and light move in response to the geometry of the spacetime. Actually, curved spacetimes of general relativity are explored by reviewing the nature of the motion of freely falling particles and light through them. Freely falling particles are those particles that are free from any effects except curvature of spacetime. This chapter provides the derivation of the equations of motion of the test particles and light rays in a general curved spacetime.
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Martin Bridgeman, David Dumas · 2007
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Labbe, Olivier · HAL (Le Centre pour la Communication Scientifique Directe) · 2023
National audience
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Martin Bridgeman, David Dumas · 2006
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Labbe, Olivier · SPIRE - Sciences Po Institutional REpository · 2025
National audience
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WORLD SCIENTIFIC (EUROPE) eBooks · 2024
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Peter J. Topalov, Vladimir S. Matveev · 1999
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Jacopo Grazzini, Pierre Soille · 2008
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duan, hurong · Zenodo (CERN European Organization for Nuclear Research) · 2023
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Corchete, Victor · 2019
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Lenka Rýparová, Josef Mikeš, Patrik Peška · Итоги науки и техники Серия «Современная математика и ее приложения Тематические обзоры» · 2023
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Toshikazu Sunada · Advanced studies in pure mathematics · 2018
Lemma 1-1-2.Let (S, CPt) be a smooth flow with a smooth invariant measure p. Let/: S---+N be a Coo-submersion onto a Coo
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Peter Topalov · Journal of Mathematical Physics · 2003
We give a natural geometric condition called geodesic compatibility that implies the existence of integrals in involution of the geodesic flow of a pseudo-Riemannian metric. We prove that if two metrics satisfy the condition of geodesic compatibility then we can produce a hierarchy of metrics that also satisfy this condition. A lot of metrics studed in Riemannian and Kählerian geometry satisfy such conditions. We apply our results for obtaining an infinite family (hierarchy) of completely integrable flows on the complex projective plane CPn.
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Richard Guy Wilson · Oxford Art Online · 2003
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Fuller, Richard Buckminster · The Journal of the Abraham Lincoln Association · 1982
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Dewidar, Khaled M · 2018
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Library, Fleet · Digital Commons - RISD (Rhode Island School of Design) · 2022
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Guajardo, Pedro, 1928- · University of North Texas Digital Library (University of North Texas) · 1989
Recording of Pedro Guajardo's Geodesic Life. This piece is of 6 dancers and one musician. The sound sources for this piece have been sampled from ethnic percussion instruments and voices, one feminine, and the other from a two year old child. All the sequences are repeated 13 times and the the tempo also increases 13 times. The dancers explore hitting sound sculptures on a geodesic done that is amplified. The musician playing a MIDI wind controller, while the tape plays back recorded acoustic sound.
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Luc Florack, Rick Sengers, A. Fuster · Elsevier eBooks · 2025
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M. Dalarsson, Nils Dalarsson · Elsevier eBooks · 2015
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