Zobrazeno 1 - 10
of 111
pro vyhledávání: '"javaloyes, Miguel Angel"'
Publikováno v:
Topol. Methods Nonlinear Anal. 61 (2023), pp. 527--547
We consider a geodesic problem in a manifold endowed with a Randers-Kropina metric. This is a type of singular Finsler metric arising both in the description of the lightlike vectors of a spacetime endowed with a causal Killing vector field and in th
Externí odkaz:
http://arxiv.org/abs/2409.19596
The correspondence between wind Riemannian structures and spacetimes endowed with a Killing vector field is deepened by considering a cone structure endowed with a vector field that preserve the structure (termed "cone Killing vector field") and a wi
Externí odkaz:
http://arxiv.org/abs/2408.05841
Experimental data on the propagation of wildfires show that its short-time spread has a double semi-elliptical shape. Our main goal is to show that this shape can be accurately approximated in polar coordinates by choosing suitable parameters in Giel
Externí odkaz:
http://arxiv.org/abs/2406.06831
The Penrose plane wave limit is a remarkable property of Lorentzian spacetimes. Here, we discuss its extension to Finsler spacetimes by introducing suitable lightlike coordinates and adapting the Lorentzian definition of pp-waves. New examples of suc
Externí odkaz:
http://arxiv.org/abs/2205.01162
Publikováno v:
In: A. Alarc\'on, V. Palmer and C. Rosales (eds.), New Trends in Geometric Analysis, RSME Springer Series, vol. 10, pp. 259-303. Springer Nature Switzerland AG, Cham, 2023
Some links between Lorentz and Finsler geometries have been developed in the last years, with applications even to the Riemannian case. Our purpose is to give a brief description of them, which may serve as an introduction to recent references. As a
Externí odkaz:
http://arxiv.org/abs/2203.13391
Publikováno v:
Universe 2022, 8(2), 93. Special issue "Beyond Riemannian geometry in classical and quantum gravity"
We revisit the physical arguments which lead to the definition of the stress-energy tensor $T$ in the Lorentz-Finsler setting $(M,L)$ starting at classical Relativity. Both the standard heuristic approach using fluids and the Lagrangian one are taken
Externí odkaz:
http://arxiv.org/abs/2202.10801
Publikováno v:
SIAM Journal on Applied Algebra and Geometry, Vol. 7, Iss. 2 (2023), 414-439
A geometric model for the computation of the firefront of a forest wildfire which takes into account several effects (possibly time-dependent wind, anisotropies and slope of the ground) is introduced. It relies on a general theoretical framework, whi
Externí odkaz:
http://arxiv.org/abs/2110.03364
Publikováno v:
A. L. Albujer et al. (eds.), Developments in Lorentzian Geometry, Springer Proceedings in Mathematics & Statistics 389, Springer Nature Switzerland AG, Cham, 2022
Some well-known Lorentzian concepts are transferred into the more general setting of cone structures, which provide both the causality of the spacetime and the notion of cone geodesics without making use of any metric. Lightlike hypersurfaces are def
Externí odkaz:
http://arxiv.org/abs/2109.07969
Publikováno v:
Advances in Theoretical and Mathematical Physics, Volume 26, Number 10, 3563-3631, 2022
A systematic development of the so-called Palatini formalism is carried out for pseudo-Finsler metrics $L$ of any signature. Substituting in the classical Einstein-Hilbert-Palatini functional the scalar curvature by the Finslerian Ricci scalar constr
Externí odkaz:
http://arxiv.org/abs/2108.03197
Publikováno v:
A.L. Albujer et al. (eds.), Developments in Lorentzian Geometry, Springer Proceedings in Mathematics & Statistics 389, Springer Nature Switzerland AG, 2022
The general notion of anisotropic connections $\nabla$ is revisited, including its precise relations with the standard setting of pseudo-Finsler metrics, i.e., the canonic nonlinear connection and the (linear) Finslerian connections. In particular, t
Externí odkaz:
http://arxiv.org/abs/2107.05986