arXiv subjects

H. M. Manjunatha

Publications and source records attributed to H. M. Manjunatha.

3 recordsLinked to original sources

arXiv2024

Special Finsler spaces admitting a semi-concurrent vector field

The main objective of this paper is to study semi-concurrent vector fields on a Finsler manifold. We show that the quasi-$C$-reducible Finsler space, $C3$-like Finsler space, $C^{h}$-recurrent Finsler space, and $P2$-like Finsler space are equivalent to Riemannian if they admit a semi-concurrent vector field. Further, we prove the necessary and sufficient condition for a Finsler space satisfying $C$-conformal condition to become Riemannian.

math.DG↗

arXiv2022

Static conformal elastic solution of Einstein's field equations

In this paper, we study new exact solutions of Einstein's field equations with the motivation of the relativistic elasticity theory. We construct the static conformal elastic solution by applying conformal transformations to the Reissner-Nordström-de Sitter solution. The conformal factors for static space-time structure with an elastic matter are obtained. Further, we analyze the viability of energy conditions. And also discuss the matching problem with the exterior space-time.

gr-qc↗

arXiv2020

The gravitational field of the SdS space-time

The goal of this paper is to study SdS space-time and its gravitational field with consideration of the canonical form and invariants of the curvature tensor. The characteristic of $λ$-tensor identifies the type of gravitational field. Gaussian curvature quantities enunciated in terms of curvature invariants.

gr-qc↗