C-conformal Metric Transformations on Finslerian Hypersurface

The purpose of the paper is to give some relation between the originalFinslerian hypersurface and other C-conformal Finslerian hypersufaces. In this pa-per we dene three types of hypersufaces, which were called a hyperplane of the 1stkind, hyperplane of the 2nd kind and hyperplane of the 3rd kind under considerationof C-conformal metric transformation.DOI : http://dx.doi.org/10.22342/jims.17.2.2.59-6

Conformal Change of Finsler Special (α, β)- Metric is of Douglas Type

In this present article, we are devoted to study the necessary and sufficient conditions for a Finsler space with a special (α, β)-metric i.e., F = c1α + c2β + β 2 α ; c2 = 0; to be a Douglas space and also to be Berwald space, where α is Riemannian metric and β is differential 1-form. In the second part of this article we are discussing about conformal change of Douglas space with special (α, β)-metric

Exact Solution of Field Equation with Constant Ricci Curvature in Finslerian Black Hole

This paper aims to investigate the de Sitter Schwarzschild black hole in the framework of Finslerian space-time because Finslerian geometry can explain problems that Einstein's gravity cannot. For this end, we assume the Ricci curvature is constant in the Finsler space and obtain an exact solution for the field equations in the Finsler space-time. This solution is equivalent to the Finslerian Schwarzschild de Sitter-like black hole. A constant Ricci curvature in Finslerian space-time requires, in its two-dimensional space, the Ricci curvature ($\lambda$) to be constant. We find that for $\lambda\neq1$, this solution resembles a black hole surrounded by a cloud of strings. Furthermore, we investigate null and time-like geodesics for $\lambda=1$.Comment: 20 Pages, 4 figure

Physical viability of traversable Finslerian wormholes with traceless fluid under conformal symmetry

The current study explores the novel potential of traversable wormhole solutions within the framework of Finsler geometry, incorporating conformal symmetry alongside traceless fluid dynamics. Using the Conformal Killing vector approach, we have discussed the wormholes based on traceless fluid within the intriguing framework of Finsler geometry. The field equations and the associated conformal factor are obtained specifically under the condition of conformal motion in Finsler geometry. Furthermore, we have successfully derived and examined the shape function, considering a range of values for the Finslerian parameter $\lambda$. Our investigation extends to fundamental physical characteristics such as proper radial distance, active mass function, and total gravitational energy, aiming to understand their influence on the traversability of the wormhole. The observation of energy condition violations provides evidence for the exotic matter's presence near the throat, reinforcing the assertion of the Finslerian wormhole's traversability.Comment: 17 pages, 8 figure

3-Ethyl-4-methyl-1H-pyrazol-2-ium-5-olate

The title compound, C6H10N2O, is a zwitterionic pyrazole derivative. The crystal packing is predominantly governed by a three-center iminium–amine N+—H⋯O−⋯H—N inter­action, leading to an undulating sheet-like structure lying parallel to (100)

4-(4-Chloro­phen­yl)-N-[(E)-4-(dimethyl­amino)­benzyl­idene]-1,3-thia­zol-2-amine

The title compound, C18H16ClN3S, adopts an extended mol­ecular structure. The thia­zole ring is inclined by 9.2 (1) and 15.3 (1)° with respect to the chloro­phenyl and 4-(dimethyl­amino)­phenyl rings, respectively, while the benzene ring planes make an angle of 19.0 (1)°. A weak inter­molecular C—H⋯π contact is observed in the crystal structure

Tris(methyl 3-oxobutanoato-κ2 O,O′)aluminium(III)

In the title compound, [Al(C5H7O3)3], three acac-type ligands (methyl 3-oxobutanoate anions) chelate to the aluminium(III) cation in a slightly distorted AlO6 octa­hedral coordination geometry. Electron delocalization occurs within the chelating rings

(2E)-3-(4-Bromo­phen­yl)-1-(2-methyl-4-phenyl-3-quinol­yl)prop-2-en-1-one

The conformation about the ethene bond [1.316 (3) Å] in the title compound, C25H18BrNO, is E. The quinoline ring forms dihedral angles of 67.21 (10) and 71.68 (10)° with the benzene and bromo-substituted benzene rings, respectively. Highlighting the non-planar arrangement of aromatic rings, the dihedral angle formed between the benzene rings is 58.57 (12)°