Exact solutions for Bianchi type-I cosmological models in f (R) theory of gravity

AH Hasmani, AM Al-Haysah - Applications and …, 2019 - digitalcommons.pvamu.edu
In this paper, we attempt to study spatially homogeneous Bianchi type-I cosmological
models in f (R) theory of gravity. The exact solutions of the Einstein's field equations (EFEs) …

Lanczos potential for some non-vacuum spacetimes

AH Hasmani, R Panchal - The European Physical Journal Plus, 2016 - Springer
The Lanczos potential is a general relativity analogue of potential in electrodynamics. This
potential can be obtained by solving Weyl-Lanczos relations. This computation is easy in the …

Algebraic Computation of Spin Coefficients in Newman-Penrose Formalism using Mathematica

AH Hasmani, PI Andharia - Journal of Dynamical Systems and …, 2011 - Taylor & Francis
Abstract Newman-Penrose (NP) formalism [5, 13], in general relativity is a tetrad formalism in
which various geometrical quantities are projected on a chosen null tetrad basis. Spin …

Algebraic computations of general observer quantities using Mathematica

AH Hasmani, R Panchal - Astrophysics and Space Science, 2015 - Springer
Algebraic computations of general observer quantities using Mathematica Page 1 Astrophys
Space Sci (2015) 359:1 DOI 10.1007/s10509-015-2465-6 ORIGINAL ARTICLE Algebraic …

[PDF][PDF] Lanczos potential for Weyl metric

AH Hasmani, AC Patel, R Panchal - PRAJNA-E-Journal of Pure & …, 2017 - spuvvn.edu
Lanczos Potential for Weyl Metric 3 2 gg ggL gL gL gL gL LLLLC - + - - + + - + - = . LLL - = φ
Page 1 PRAJÑĀ - Journal of Pure and Applied Sciences Vol. 24 – 25 : 11–14 (2017) ISSN 0975 …

[PDF][PDF] On Algebraic Computations of Electric and Magnetic Parts of the Weyl Tensor

AH Hasmani, BN Patel, R Panchal - International Journal of …, 2016 - academia.edu
Electromagnetic field theory is an established the-ory and the characteristic of electric and
magnetic fields are well understood. Motivated by electromagnetic field theory, the Weyl …

[PDF][PDF] Algebraic computations of complex tetrad components of Ricci tensor

AH Hasmani, RR Panchal - Proc. of Recent Trends in Mathematics …, 2015 - researchgate.net
In general relativity Riemann tensor characterizes the gravitational field. This tensor can be
decomposed into two parts, Ricci tensor and Weyl tensor; they describe contribution of …

Electric and magnetic parts of the Weyl tensor and spin coefficients

AH Hasmani, R Panchal - Journal of Dynamical Systems and …, 2017 - Taylor & Francis
It is known that electric and magnetic parts of the Weyl tensor in General Relativity are
analogous to that occur in the theory of electromagnetism. On the other hand, Newman …

On the Lanczos Potential

R Panchal, AH Hasmani - Journal of the Tensor Society, 2023 - tensorsociety.com
On the Lanczos Potential 1 Introduction Page 1 Journal of The Tensor Society (JTS) ISSN:
0974-5424 Vol. 17 (2023), page 54-59 On the Lanczos Potential Ravi Panchal1∗, AH …

[PDF][PDF] The exact vacuum solution for Kasner metric from Bianchi type-I cosmological model

AM Al-Haysah, AH Hasmani - International Journal of Computer …, 2020 - researchgate.net
An exact solution of the vacuum Einstein field equations (VE-FEs) has been obtained of a
spatially homogeneous and anisotropic (SHA) Bianchi type-I cosmological model by Kasner …