• Home
  • Dhyanesh Chakraborty
Dhyanesh Chakraborty

Dhyanesh Chakraborty

M.Sc, Ph.D

About

11
Publications
1,196
Reads
How we measure 'reads'
A 'read' is counted each time someone views a publication summary (such as the title, abstract, and list of authors), clicks on a figure, or views or downloads the full-text. Learn more
58
Citations
Citations since 2016
11 Research Items
58 Citations
2016201720182019202020212022051015202530
2016201720182019202020212022051015202530
2016201720182019202020212022051015202530
2016201720182019202020212022051015202530
Introduction

Publications

Publications (11)
Article
Full-text available
This article deals with the investigation of geometric properties in terms of curvatures of Lemaître–Tolman–Bondi (briefly, LTB) spacetime (Lemaître 1933; Tolman 1934; Bondi 1947), an inhomogeneous cosmological model of the universe. It is shown that LTB spacetime is an Einstein manifold of level 3, 2-quasi Einstein and generalized Roter type manif...
Article
The Morris-Thorne wormhole is a spherically symmetric solution of Einstein field equations with cosmological constant. The present article aims to investigate the geometric properties in terms of curvatures admitted by this spacetime. It is found that such a spacetime possesses several kinds of symmetries, such as, Ricci generalized pseudosymmetry,...
Article
The Vaidya–Bonner metric is a non-static generalization of Reissner–Nordström metric and this paper deals with the investigation of the curvature restricted geometric properties of such a metric. The scalar curvature vanishes and several pseudosymmetric-type curvature conditions are fulfilled by this metric. Also, it is a [Formula: see text]-quasi-...
Article
The objective, in this paper, is to obtain the curvature properties of (t−z)-type plane wave metric studied by Bondi et al. (1959). For this a general (t−z)-type wave metric is considered and the condition for which it obeys Einstein’s empty spacetime field equations is obtained. It is found that the rank of the Ricci tensor of (t−z)-type plane wav...
Article
This paper is concerned with the study of the geometry of (charged) Nariai spacetime, a topological product spacetime, by means of covariant derivative(s) of its various curvature tensors. It is found that on this spacetime the condition [Formula: see text] is satisfied and it also admits the pseudosymmetric type curvature conditions [Formula: see...
Article
This paper aims to investigate the curvature restricted geometric properties admitted by Melvin magnetic spacetime metric, a warped product metric with 1-dimensional fibre. For this, we have considered a Melvin type static, cylindrically symmetric spacetime metric in Weyl form and it is found that such metric, in general, is generalized Roter type,...
Article
In this paper we have investigated the curvature restricted geometric properties of the generalized Kantowski–Sachs (briefly, GK–S) spacetime metric, a warped product of 2-dimensional base and 2-dimensional fibre. It is proved that GK–S metric describes a generalized Roter type, 2-quasi Einstein and Ein(3) manifold. It also has pseudosymmetric Weyl...
Article
Siklos spacetime represents exact gravitational waves propa�gating on the anti-de-Sitter universe with negative cosmological constant and it is conformally related to pp-wave spacetime. The object of this paper is to investigate the curvature restricted geometric structures ad�mitting by the Siklos spacetime and it is shown that such spacetime is E...
Preprint
Full-text available
This paper aims to investigate the curvature restricted geometric properties admitted by Melvin magnetic spacetime metric, a warped product metric with $1$-dimensional fibre. For this, we have considered a Melvin type static, cylindrically symmetric spacetime metric in Weyl form and it is found that such metric, in general, is generalized Roter typ...
Article
The objective of this paper is to study the curvature restricted geometric properties of anisotropic nonrelativistic scale invariant metrics, namely, Lifshitz and Schrödinger spacetime metrics. It is found that the Lifshitz spacetime metric admits two important pseudosymmetric type curvature conditions [Formula: see text] and [Formula: see text]. A...
Preprint
Full-text available
The charged Nariai spacetimes are the exact solutions of Einstein-Maxwell field equations with positive cosmological constant and such a spacetime is the direct topological product of a $2$-dimentional de-Sitter spacetime with a round $2$-sphere of constant radius. The present paper deals with the investigation of curvature restricted geometric str...

Network

Cited By