Abstract Finsler geometry is a natural arena to investigate the physics of spacetimes with local Lorentz violation. The directional dependence metric provides way encode Lorentz-violating effects into geometric structure spacetime. Here, classical field theory proposed in special geometry, so-called Randers-Finsler spacetime, where violation produced by background vector field. By promoting dif...

The weak field approximation of geodesics in Randers-Finsler space is investigated. We show that a Finsler structure of Randers space corresponds to the constant and sunward anomalous acceleration demonstrated by the Pioneer 10 and 11 data. The additional term in the geodesic equation acts as “electric force”, which provides the anomalous acceleration. PACS numbers: 02.40.-k, 04.50.Kd, 95.10.Ce...

In this paper, an exact solution of Kerr black hole surrounded by a cloud strings in Rastall gravity is obtained Newman-Janis algorithm without complexification, and the influence string parameter $a_0$ on thermodynamics studied. Furthermore, according to solution, we investigate effect gravitational deflection massive particles. For receiver source at infinite distance from lens object, use os...

We give a necessary and sufficient condition on a Randers space for the existence of a measure for which Shen’s S-curvature vanishes everywhere. Moreover, such a measure coincides with the Busemann-Hausdorff measure up to a constant multiplication.

This is a survey article about the recent developments in classifying Randers metrics of scalar flag curvature under an additional condition on the isotropic S-curvature. The authors give an outline of the proof for the classification theorem.

Abstract In this work, we revisit Carrollian hydrodynamics, a type of non-Lorentzian hydrodynamics which has recently gained increasing attentions due to its underlying connection with dynamics spacetime near null boundaries, and aim at exploring symmetries associated conservation laws fluids. With an elaborate construction Carroll geometries, generalize the Randers–Papapetrou metric by incorpo...

Lorentz Invariance violation is a common feature of new physics beyond the standard model. We show that the symmetry of Randers spaces deduces a modified dispersion relation with characteristics of Lorentz Invariance violation. The counterparts of the Lorentz transformation in the Einstein’s Special Relativity are presented explicitly. The coordinate transformations are unitary and form a group...

Eutrophication of estuarine and coastal waters has only been recognised as a potential problem since the early 1980s. This problem is being addressed by the European Union through the implementation of recent water quality legislation, which also calls for an economic analysis relating to its implementation. This paper examines the benefits and costs of reduced eutrophication of the Randers Fjo...