43 citations · 138 across the 13 of their papers we have counts for
13 papers
From dual connections to gravitational field equations -- the curvature and Einstein tensors of the - connection of a quasi-statistical manifold
Rattanasak Hama, Tiberiu Harko, Sorin V. Sabau
We present a detailed review of the mathematical foundations of the theory of the statistical and quasi-statistical manifolds, which recently have found many applications in genera…
Observational tests of the conformal osculating Barthel-Kropina cosmological model
Himanshu Chaudhary, Rattanasak Hama, Tiberiu Harko +2
We consider detailed cosmological tests of dark energy models obtained from the general conformal transformation of the Kropina metric, representing an -type Finslerian geom…
From Barthel Randers Kropina Geometries to the Accelerating Universe: A Brief Review of Recent Advances in Finslerian Cosmology
Amine Bouali, Himanshu Chaudhary, Lehel Csillag +4
We review recent developments in cosmological models based on Finsler geometry and extensions of general relativity within this framework. Finsler geometry generalizes Riemannian g…
Length-preserving biconnection gravity and its cosmological implications
Lehel Csillag, Rattanasak Hama, Mate Jozsa +2
We consider a length-preserving biconnection gravitational theory, inspired by information geometry, which extends general relativity by using the mutual curvature as the fundament…
Conformal gravitational theories in the Barthel-Kropina type Finslerian geometry, and their cosmological implications
Rattanasak Hama, Tiberiu Harko, Sorin V. Sabau
We consider dark energy models obtained from the general conformal transformation of the Kropina metric, representing an type Finslerian geometry, constructed as the ratio…
Randers metrics on two-spheres of revolution with simple cut locus
Rattanasak Hama, Sorin V. Sabau
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 determin…
Cosmological tests of the osculating Barthel-Kropina dark energy model
Amine Bouali, Himanshu Chaudhary, Rattanasak Hama +3
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…
Dark energy and accelerating cosmological evolution from osculating Barthel-Kropina geometry
Rattanasak Hama, Tiberiu Harko, Sorin V. Sabau
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 g…
Cosmological evolution and dark energy in osculating Barthel-Randers geometry
Rattanasak Hama, Tiberiu Harko, Sorin V. Sabau +1
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 as…
The geometry of a Randers rotational surface with an arbitrary direction wind
Rattanasak Hama, Sorin V. Sabau
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…
The cut locus of a Randers rotational 2-sphere of revolution
Rattanasak Hama, Jaipong Kasemsuwan, Sorin V. Sabau
In the present paper we study the structure of the cut locus of a Randers rotational 2-sphere of revolution . We show that in the case when the Gaussian curvature of…
Berwald spaces of bounded curvature are Riemannian
Nathaphon Boonnam, Rattanasak Hama, Sorin V. Sabau
We prove that Berwald spaces whose flag curvature is nowhere vanishing are in fact Riemannian spaces. This means that any Berwald space with flag curvature bounded below by a posit…
The geometry of a Randers rotational surface
Pakkinee Chitsakul, Rattanasak Hama, Sorin V. Sabau
We study the behavior of geodesics on a Randers surface of revolution. The main tool is the extension of Clairaut relation from Riemannian case to the Randers case. Moreover, we sh…