Samira Cheraghchi

Department of Physics, University of Tehran

Four-dimensional SO(3)-spherically symmetric Berwald Finsler spaces

Abstract: Besides having an introduction to Finslerian geometry and its application in Physics, We locally classify all SO(3)-invariant four-dimensional pseudo-Finsler Berwald structures. These are Finslerian geometries which are closest to (spatially, or SO(3))-spherically symmetric pseudo-Riemannian ones — and serve as ansatz to find solutions of Finsler gravity equations which generalize the Einstein equations. We find that there exist five classes of non-pseudo-Riemannian (i.e. non-quadratic in the velocities) SO(3)-spherically symmetric pseudo-Finsler Berwald functions, which have either a heavily constrained dependence on the velocities, or, up to a suitable choice of the tangent bundle coordinates, no dependence at all on the “time” and “radial” coordinates. Also, we will present that in the cosmological symmetric case, the Finsler function only can have one non-trivial (non-Riemannian) form.

یکشنبه 13 اسفند 1402، ساعت 17:00

Sunday 3 March 2024 – 17:00 Tehran Time

Hybrid Seminar

دانشکده فیزیک – طبقه اول – کلاس فیزیک 3 Physics Department – first floor – Room Physics 3    /

https://vc.sharif.edu/ch/cosmology

گزینه ورود به صورت مهمان – Enter as a Guest