On the definition and examples of cones and Finsler spacetimes

MA Javaloyes, M Sánchez - Revista de la Real Academia de Ciencias …, 2020 - Springer
A systematic study of (smooth, strong) cone structures CC and Lorentz–Finsler metrics L is
carried out. As a link between both notions, cone triples (Ω, T, F)(Ω, T, F), where Ω Ω (resp. T) …

Analysis of birefringence and dispersion effects from spacetime-symmetry breaking in gravitational waves

K O'Neal-Ault, QG Bailey, T Dumerchat, L Haegel… - Universe, 2021 - mdpi.com
In this work, we review the effective field theory framework to search for Lorentz and CPT
symmetry breaking during the propagation of gravitational waves. The article is written so as …

Foundations of Finsler spacetimes from the observers' viewpoint

AN Bernal, MA Javaloyes, M Sánchez - Universe, 2020 - mdpi.com
Physical foundations for relativistic spacetimes are revisited in order to check at what extent
Finsler spacetimes lie in their framework. Arguments based on inertial observers (as in the …

Light cones in Finsler spacetime

E Minguzzi - Communications in Mathematical Physics, 2015 - Springer
Some foundational results on the geometry of Lorentz–Minkowski spaces and Finsler
spacetimes are obtained. We prove that the local light cone structure of a reversible Finsler …

Finsler-like structures from Lorentz-breaking classical particles

N Russell - Physical Review D, 2015 - APS
A method is presented for deducing classical point-particle Lagrange functions
corresponding to a class of quartic dispersion relations. Applying this to particles violating …

Finsler -waves

A Fuster, C Pabst - Physical Review D, 2016 - APS
In this work we present Finsler gravitational waves. These are a Finslerian version of the
well-known pp-waves, generalizing the very special relativity line element. Our Finsler pp …

Berwald spacetimes and very special relativity

A Fuster, C Pabst, C Pfeifer - Physical Review D, 2018 - APS
In this work, we study Berwald spacetimes and their vacuum dynamics, where the latter are
based on a Finsler generalization of Einstein's equations derived from an action on the unit …

Geodesics and the magnitude-redshift relation on cosmologically symmetric Finsler spacetimes

M Hohmann, C Pfeifer - Physical Review D, 2017 - APS
We discuss the geodesic motion of both massive test particles, following timelike geodesics,
and light, following null geodesics, on Finsler spacetimes with cosmological symmetry …

Applications of the Schwarzschild–Finsler–Randers model

E Kapsabelis, A Triantafyllopoulos, S Basilakos… - The European Physical …, 2021 - Springer
In this article, we study further applications of the Schwarzschild–Finsler–Randers (SFR)
model which was introduced in a previous work Triantafyllopoulos et al.(Eur Phys JC 80 …

Wind Finslerian structures: from Zermelo's navigation to the causality of spacetimes

E Caponio, MA Javaloyes, M Sánchez - arXiv preprint arXiv:1407.5494, 2014 - arxiv.org
The notion of wind Finslerian structure is developed; this is a generalization of Finsler
metrics where the indicatrices at the tangent spaces may not contain the zero vector. In the …