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Relativistic hyperbolic motion and its higher order kinematic quantities

dc.contributor.authorPérez Román, Iván de Jesús
dc.contributor.authorRosu Barbus, Haret-Codratian
dc.date.accessioned2023-06-14T16:12:33Z
dc.date.available2023-06-14T16:12:33Z
dc.date.issued2022
dc.identifier.citationI. de J. Perez Roman and H.-C. Rosu Barbus, “Relativistic hyperbolic motion and its higher order kinematic quantities”, Rev. Mex. Fís., vol. 68, no. 6 Nov-Dec, pp. 060702 1–, Nov. 2022.
dc.identifier.urihttp://hdl.handle.net/11627/6362
dc.description.abstract"We investigate the kinematics of the motion of an observer with constant proper acceleration (relativistic hyperbolic motion) in 1+1 and 1+3 dimensional Minkowski spacetimes. We provide explicit formulas for all the kinematic quantities up to the fourth proper time derivative (the Snap). In the 1 + 3 case, following a recent work of Pons and de Palol [Gen. Rel. Grav. 51 (2019) 80], a vectorial differential equation for the acceleration is obtained which by considering constant proper acceleration is turned into a nonlinear second order differential equation in terms of derivatives of the radius vector. If, furthermore, the velocity is parameterized in terms of hyperbolic functions, one obtains a differential equation to solve for the argument f(s) of the velocity. Differently from Pons and de Palol, who employed the particular solution, linear in the proper time s, we obtain the general solution and use it to work out more general expressions for the kinematical quantities. As a byproduct, we obtain a class of modified Rindler hyperbolic worldlines characterized by supplementary contributions to the components of the kinematical quantities."
dc.publisherSociedad Mexicana de Física, A.C.
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subjectJerk
dc.subjectHyperbolic motion
dc.subjectSnap
dc.subjectMinkowski spacetime
dc.subjectModified Rindler hyperbolas
dc.subject.classificationFÍSICA
dc.titleRelativistic hyperbolic motion and its higher order kinematic quantities
dc.typearticle
dc.identifier.doihttps://doi.org/10.31349/RevMexFis.68.060702
dc.rights.accessAcceso Abierto


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