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On the definition and examples of cones and finsler spacetimes

dc.contributor.authorJavaloyes, Miguel Ángel
dc.contributor.authorSánchez Caja, Miguel 
dc.date.accessioned2021-03-16T08:11:13Z
dc.date.available2021-03-16T08:11:13Z
dc.date.issued2019-10-17
dc.identifier.citationPublisher version: Javaloyes, M.A., Sánchez, M. On the definition and examples of cones and Finsler spacetimes. RACSAM 114, 30 (2020). [https://doi.org/10.1007/s13398-019-00736-y]es_ES
dc.identifier.urihttp://hdl.handle.net/10481/67249
dc.descriptionThe authors warmly acknowledge Professor Daniel Azagra (Universidad Complutense, Madrid) his advise on approximation of convex functions as well as Profs. Kostelecky (Indiana University), Fuster (University of Technology, Eindhoven), Stavrinos (University of Athens), Pfeifer (University of Tartu), Perlick (University of Bremen) and Makhmali (Institute of Mathematics, Warsaw) their comments on a preliminary version of the article. The careful revision by the referee is also acknowledged. This work is a result of the activity developed within the framework of the Programme in Support of Excellence Groups of the Region de Murcia, Spain, by Fundacion Seneca, Science and Technology Agency of the Region de Murcia. MAJ was partially supported by MINECO/FEDER project reference MTM2015-65430-P and Fundacion Seneca project reference 19901/GERM/15, Spain and MS by Spanish MINECO/ERDF project reference MTM2016-78807-C2-1-P.es_ES
dc.description.abstractA systematic study of (smooth, strong) cone structures C and Lorentz–Finsler metrics L is carried out. As a link between both notions, cone triples (Ω,T,F), where Ω (resp. T) is a 1-form (resp. vector field) with Ω(T)≡1 and F, a Finsler metric on ker(Ω), are introduced. Explicit descriptions of all the Finsler spacetimes are given, paying special attention to stationary and static ones, as well as to issues related to differentiability. In particular, cone structures C are bijectively associated with classes of anisotropically conformal metrics L, and the notion of cone geodesic is introduced consistently with both structures. As a non-relativistic application, the time-dependent Zermelo navigation problem is posed rigorously, and its general solution is provided.es_ES
dc.description.sponsorshipMINECO/FEDER project, Spain MTM2015-65430-Pes_ES
dc.description.sponsorshipFundacion Seneca 19901/GERM/15es_ES
dc.description.sponsorshipSpanish MINECO/ERDF project MTM2016-78807-C2-1-Pes_ES
dc.language.isoenges_ES
dc.publisherSpringer Naturees_ES
dc.rightsAtribución-NoComercial-SinDerivadas 3.0 España*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/*
dc.subjectFinsler spacetimees_ES
dc.subjectLorentz-Finsler metrics and normses_ES
dc.subjectCone structurees_ES
dc.subjectStatic and stationary spacetimeses_ES
dc.subjectZermelo navigation problemes_ES
dc.subjectGeneralized Fermat principlees_ES
dc.titleOn the definition and examples of cones and finsler spacetimeses_ES
dc.typejournal articlees_ES
dc.rights.accessRightsopen accesses_ES
dc.identifier.doi10.1007/s13398-019-00736-y
dc.type.hasVersionSMURes_ES


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