Zobrazeno 1 - 10
of 70
pro vyhledávání: '"Sabău, Sorin"'
We consider a biconnection theory that extends general relativity, using the recently defined mutual curvature as the fundamental object describing gravity. To specify the two connections considered, we make a short detour into information geometry,
Externí odkaz:
http://arxiv.org/abs/2407.13024
We consider dark energy models obtained from the general conformal transformation of the Kropina metric, representing an $(\alpha, \beta)$ type Finslerian geometry, constructed as the ratio of the square of a Riemannian metric $\alpha$, and of the on
Externí odkaz:
http://arxiv.org/abs/2310.09067
Autor:
Hama, Rattanasak, Sabau, Sorin V.
Publikováno v:
AIMS Mathematics AIMS Mathematics 2023, Volume 8, Issue 11: 26213-26236
In the present paper, we study the Randers metric on two-spheres of revolution in order to obtain new families of Finsler of Randers type metrics with simple cut locus. We determine the geodesics behavior, conjugate and cut loci of some families of F
Externí odkaz:
http://arxiv.org/abs/2309.11790
Autor:
Bouali, Amine, Chaudhary, Himanshu, Hama, Rattanasak, Harko, Tiberiu, Sabau, Sorin V., Martín, Marco San
We further investigate the dark energy model based on the Finsler geometry inspired osculating Barthel-Kropina cosmology. The Barthel-Kropina cosmological approach is based on the introduction of a Barthel connection in an osculating Finsler geometry
Externí odkaz:
http://arxiv.org/abs/2301.10278
Finsler geometry is an important extension of Riemann geometry, in which to each point of the spacetime manifold an arbitrary internal variable is associated. Interesting Finsler geometries, with many physical applications, are the Randers and Kropin
Externí odkaz:
http://arxiv.org/abs/2204.04506
Publikováno v:
Eur. Phys. J. C (2021) 81:742
We consider the cosmological evolution in an osculating point Barthel-Randers type geometry, in which to each point of the space-time manifold an arbitrary point vector field is associated. This Finsler type geometry is assumed to describe the physic
Externí odkaz:
http://arxiv.org/abs/2108.00039
Autor:
Hama, Rattanasak, Sabau, Sorin V.
In the present paper we study the global behaviour of geodesics on a Randers metric, defined on a topological cylinder, obtained as the solution of the Zermelo's navigation problem. Our wind is not necessarily a Killing field. In special we concentra
Externí odkaz:
http://arxiv.org/abs/2101.12399
Publikováno v:
Physical Review D 100, 105012 (2019)
We consider a Finslerian type geometrization of the non-relativistic quantum mechanics in its hydrodynamical (Madelung) formulation, by also taking into account the effects of the presence of the electromagnetic fields on the particle motion. In the
Externí odkaz:
http://arxiv.org/abs/1910.14114
We show that a non-compact (forward) complete Finsler manifold whose Holmes- Thompson volume is infinite admits no non-trivial convex functions. We apply this result to some Finsler manifolds whose Busemann function is convex.
Externí odkaz:
http://arxiv.org/abs/1811.02121
In the present paper we study the structure of the cut locus of a Randers rotational 2-sphere of revolution $(M, F = \alpha+\beta)$. We show that in the case when the Gaussian curvature of the Randers surface is monotone along a meridian, the cut loc
Externí odkaz:
http://arxiv.org/abs/1808.03381