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arXiv · 1812.01381

Conservation laws for classical particles in Anti-de Sitter-Beltrami space

T. Angsachon·M. E. Chaikovskii·S. N. Manida
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Abstract

In this paper we consider the conservation laws for classical particles in $AdS_4$. At first we parameterize a geodesic line and construct conserved quantities with analog of five dimensional Minkowski space-time $M^{(2,3)}$. Consequently we change $AdS_4$ space to AdS-Beltrami space-time and write conserved quantities in the Beltrami coordinates. Finally we take a limit for small velocity $\dot{x}\ll c$ and we get the conserved quantities in Lorentz-Fock space-time. And finally we give out the energy of the nonrelativistic noncosmological particle under the cosmological limit.

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T. Angsachon, M. E. Chaikovskii, S. N. Manida. 2018-12-04. Conservation laws for classical particles in Anti-de Sitter-Beltrami space. https://arxiv.org/abs/1812.01381

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