communication: Finsler spacetimes and Killing vectors field (Second parallel session on Finsler Geometry and General Relativity)

speaker: Erasmo Caponio (Dipartimento di Meccanica, Matematica e manadgment - Politecnico di Bari)

abstract: We quickly review the notion of Finsler spacetime and introduce a class defined on product, \(1+n\) dimensional, manifolds \( R\times M\), where \(M\) is endowed with a classical Finsler metric \(F_1\) and another fiberwise positive homogeneous Lagrangian \(F_2\). In this class the vector field \(\partial t\), where \(t\} is the natural coordinate on \(R\}, is a timelike Killing vector field. We study its causality showing in particular that, under some conditions on \(F_1, \ F_2\), it can be reduced to the one of a simpler class.

timetable:
Tue 22 May, 16:11 - 16:30, Aula Dini
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