5 research outputs found
A second order differential equation for a point charged particle
A model for the dynamics of a classical point charged particle interacting
with higher order jet fields is introduced. In this model, the dynamics of the
charged particle is described by an implicit ordinary second order differential
equation. Such equation is free of run-away and pre-accelerated solutions of
Dirac's type. The theory is Lorentz invariant, compatible with the first law of
Newton and Larmor's power radiation formula. Few implications of the new
equation in the phenomenology of non-neutral plasmas is considered.Comment: Several arguments simplified; accepted version to appear in
International Journal of Geometric Methods in Modern Physic
Hyperbolic space in the Newtonian limit: The cosmological constant
[EN] In this paper, the cosmological constant and the Boltzmann entropy of a Newtonian Universe filled with a perfect fluid are computed, under the assumption that spatial sections are copies of 3-dimensional hyperbolic space.This research was supported by Grant No. RTI2018-102256-B-I00 (Spain).Castro-Palacio, JC.; Fernández De Córdoba, P.; Gallego Torromé, R.; Isidro, J. (2022). Hyperbolic space in the Newtonian limit: The cosmological constant. International Journal of Modern Physics D. 31(09):2250072-1-2250072-11. https://doi.org/10.1142/S02182718225007292250072-12250072-11310