Classification of vacuum classes of plane fronted gravitational waves via proper conformal vector fields in gravity

F Hussain, G Shabbir, M Ramzan… - International Journal of …, 2019 - World Scientific
In this paper, we have studied proper conformal vector fields of pp-wave space-times in the f
(R) theory of gravity using algebraic and direct integration techniques. From this study, we …

Some conformal vector fields and conformal Ricci solitons on -contact metric manifolds

UC De, A Sardar, A Sarkar - AUT Journal of Mathematics and …, 2021 - ajmc.aut.ac.ir
The target of this paper is to study $ N (k) $-contact metric manifolds with some types of
conformal vector fields like $\phi $-holomorphic planar conformal vector fields and Ricci …

A note on classification of spatially homogeneous rotating space-times in theory of gravity according to their proper conformal vector fields

G Shabbir, F Hussain, M Ramzan… - International Journal of …, 2019 - World Scientific
In this paper, we present a study of proper conformal vector fields of spatially homogeneous
rotating space-times in the f (R) theory of gravity. A total of six cases have been discussed in …

Conformal vector fields in proper non-static plane symmetric spacetimes in gravity

F Hussain, G Shabbir, FM Mahomed… - International Journal of …, 2020 - World Scientific
Nonstatic plane symmetric spacetimes are considered to study conformal vector fields (VFs)
in the f (R) theory of gravity. Firstly, we investigate some proper nonstatic plane symmetric …

Conformal vector fields on almost co-Kähler manifolds

UC De, YJ Suh, SK Chaubey - Mathematica Slovaca, 2021 - degruyter.com
In this paper, we characterize almost co-Kähler manifolds with a conformal vector field. It is
proven that if an almost co-Kähler manifold has a conformal vector field that is collinear with …

Geodesic and Newtonian vector fields and symmetries of mechanical systems

JF Cariñena, MC Muñoz-Lecanda - Symmetry, 2023 - mdpi.com
Geodesic vector fields and other distinguished vector fields on a Riemann manifold were
used in the study of free motions on such a manifold, and we applied the geometric Hamilton …

Conformal vector fields of some vacuum classes of static spherically symmetric space-times in gravity

G Shabbir, F Hussain, S Malik… - International Journal of …, 2020 - World Scientific
The aim of this paper is to investigate the conformal vector fields (CVFs) for some vacuum
classes of static spherically symmetric space-times in f (T, B) gravity. First, we have explored …

A note on classification of Kantowski–Sachs and Bianchi type III solutions in f (T) gravity via conformal vector fields

S Qazi, F Hussain, M Ramzan, S Haq - International Journal of …, 2022 - World Scientific
Conformal symmetries act as a source to investigate and classify exact solutions of the
Einstein field equations (EFEs) via conformal vector fields (CVFs). It is well known that such …

Conformal vector fields and their applications to Einstein-type manifolds

S Hwang, G Yun - Results in Mathematics, 2024 - Springer
In this paper, we investigated the properties of conformal vector fields defined on a
Riemannian manifold. Given a conformal vector field X, we can define a skew-symmetric (1 …

Conformal vector fields of static spherically symmetric space-times in gravity

F Hussain, G Shabbir, M Ramzan… - International Journal of …, 2020 - World Scientific
Assuming the most general form of static spherically symmetric space-times, we search for
the conformal vector fields in f (R, G) gravity by means of algebraic and direct integration …