Conformal symmetries of the energy–momentum tensor of spherically symmetric static spacetimes

U Camci, K Saifullah - Symmetry, 2022 - mdpi.com
Conformal matter collineations of the energy–momentum tensor of a general spherically
symmetric static spacetime are studied. The general form of these collineations is found …

Conformal Ricci collineations in LRS Bianchi type V spacetimes with perfect fluid matter

F Khan, T Hussain, SS Akhtar - Modern Physics Letters A, 2017 - World Scientific
Considering the perfect fluid as a source of energy–momentum tensor, we have classified
locally rotationally symmetric (LRS) Bianchi type V spacetimes according to their conformal …

Concircular vector fields for plane-symmetric static spacetimes

AT Ali, S Khan - The European Physical Journal Plus, 2016 - Springer
In this paper, we investigate concircular vector fields (CVFs) of static plane symmetric four-
dimensional Lorentzian manifold. Ten conformal Killing equations and their general form of …

Non-static spherically symmetric spacetimes and their conformal Ricci collineations

F Khan, T Hussain, AH Bokhari, SS Akhtar - Arabian Journal of …, 2020 - Springer
For a perfect fluid matter, we present a study of conformal Ricci collineations (CRCs) of non-
static spherically symmetric spacetimes. For non-degenerate Ricci tenor, a vector field …

Conformal collineations of the Ricci and energy–momentum tensors in static plane symmetric space–times

SS Akhtar, T Hussain, AH Bokhari, F Khan - Theoretical and Mathematical …, 2018 - Springer
We provide a complete classification of static plane symmetric space–times according to
conformal Ricci collineations (CRCs) and conformal matter collineations (CMCs) in both the …

Lie symmetries of static spherically symmetric spacetimes by Rif tree approach

T Hussain, AH Bokhari, A Munawar - The European Physical Journal Plus, 2022 - Springer
In this paper, we classify Lie symmetries of static spherically symmetric spacetimes using Rif
tree approach. Instead of using direct integration techniques, we analyze the Lie symmetry …

Lie symmetries of the Ricci and energy-momentum tensors

H Khan, A Qadir, K Saifullah, M Ziad - The European Physical Journal Plus, 2013 - Springer
Though the Ricci and energy-momentum tensors have the same algebraic symmetries and
appear in a similar way in the Einstein equations, in that interchanging them and inverting …

Classification of Kantowski–Sachs metric via conformal Ricci collineations

T Hussain, F Khan, AH Bokhari… - International Journal of …, 2018 - World Scientific
In this paper, we present a classification of the Kantowski–Sachs spacetime metric
according to its conformal Ricci collineations (CRCs). Solving the CRC equations, it is …

[PDF][PDF] Conformal Ricci collineations associated to the Levi-Civita connection on three-dimensional Lorentzian Lie groups

Y Wang - arXiv preprint arXiv:2303.15075, 2023 - arxiv.org
arXiv:2303.15075v1 [math.DG] 27 Mar 2023 Page 1 arXiv:2303.15075v1 [math.DG] 27 Mar 2023
CONFORMAL RICCI COLLINEATIONS ASSOCIATED TO THE LEVI-CIVITA CONNECTION …

Classification of locally rotationally symmetric Bianchi-I space–times using conformal Ricci collineations

T Hussain, SS Akhtar, F Khan - Theoretical and Mathematical Physics, 2017 - Springer
We present a complete classification of locally rotationally symmetric (LRS) Bianchi-I space–
times in accordance with their conformal Ricci collineations (CRCs). In the case where the …