A Review on existence of various recurrent like structures

AA Shaikh, D Chakraborty - Journal of Geometry and Physics, 2023 - Elsevier
The geometric structure, which determines a recurrent manifold, is an important curvature
restricted geometric structure in differential geometry. In the literature, we found many …

Curvature properties of Morris-Thorne wormhole metric

S Eyasmin, D Chakraborty, M Sarkar - Journal of Geometry and Physics, 2022 - Elsevier
Abstract The Morris-Thorne wormhole is a spherically symmetric solution of Einstein field
equations with cosmological constant. The present article aims to investigate the geometric …

Curvature properties of Kantowski–Sachs metric

AA Shaikh, D Chakraborty - Journal of Geometry and Physics, 2021 - Elsevier
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 …

Curvature related geometrical properties of topologically charged EiBI-gravity spacetime

AA Shaikh, F Ahmed, M Sarkar - New Astronomy, 2024 - Elsevier
The objective of this article is to study topologically charged Eddington-inspired Born–Infeld
(briefly, EiBI) gravity spacetime. It is proved that the topologically charged EiBI spacetime …

On curvature related geometric properties of Hayward black hole spacetime

AA Shaikh, SK Hui, BR Datta, M Sarkar - New Astronomy, 2024 - Elsevier
This paper is devoted to the study of curvature properties of Hayward black hole (briefly,
HBH) spacetime, which is a solution of Einstein field equations (briefly, EFE) having non …

Curvature properties of (t− z)-type plane wave metric

S Eyasmin, D Chakraborty - Journal of Geometry and Physics, 2021 - Elsevier
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 …

On some curvature properties of Vaidya–Bonner metric

AA Shaikh, BR Datta, D Chakraborty - International Journal of …, 2021 - World Scientific
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 …

On some curvature properties of Lemaitre–Tolman–Bondi spacetime

AA Shaikh, A Ali, AH Alkhaldi, D Chakraborty… - General Relativity and …, 2022 - Springer
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 …

[PDF][PDF] Curvature properties of a warped product metric

AA Shaikh, SK Hui, M Sarkar - Palestine J. Math.(accepted), 2024 - pjm.ppu.edu
The purpose of the paper is to investigate curvature restricted geometric properties of a
warped product metric with 1-dimensional base and 3-dimensional fibre and found that such …

On Sultana–Dyer spacetime: Curvatures and geometric structures

S Eyasmin, BR Datta, M Sarkar - International Journal of Geometric …, 2023 - World Scientific
Sultana–Dyer black hole, obtained by a time-dependent conformal transformation of
Schwarzschild black hole, is an exact solution of general relativity in spherical symmetry …