Dr. M. Z. Bhatti
Department of Mathematics, University of the Punjab, Quaid-i-Azam Campus, Lahore 54590, Pakistan
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Academic Career Length
15Years (2012-Present)
(Calculated once Scilit publication data is synced: current year − year of first publication + 1)
Representative Publications
View All Publications20 June 2016 in Physical Review D
Journal Article
We investigate irregularity factors for a self-gravitating spherical star evolving in the presence of an imperfect fluid. We explore the gravitational field equations and the dynamical equations with the systematic construction in gravity, where is the trace of the energy-momentum tensor. Furthermore, we analyze two well-known differential equations (which occupy principal importance in the exploration of causes of energy density inhomogeneities) with the help of the Weyl tensor and the conservation laws. The irregularity factors for a spherical star are examined for particular cases of dust and isotropic and anisotropic fluids in dissipative and nondissipative regimes in the framework of gravity. It is found that, as the complexity of the matter with the anisotropic stresses increases, the inhomogeneity factor corresponds more closely to one of the structure scalars.
24 March 2016 in Physical Review D
Journal Article
We explore the evolutionary behaviors of compact objects in a modified gravitational theory with the help of structure scalars. Particularly, we consider the spherical geometry coupled with heat- and radiation-emitting shearing viscous matter configurations. We construct structure scalars by splitting the Riemann tensor orthogonally in gravity with and without constant and constraints, where is the Ricci scalar and is the trace of the energy-momentum tensor. We investigate the influence of the modification of gravity on the physical meaning of scalar functions for radiating spherical matter configurations. It is explicitly demonstrated that even in modified gravity, the evolutionary phases of relativistic stellar systems can be analyzed through the set of modified scalar functions.
30 July 2019 in Physical Review D
Journal Article
In this paper, we investigate the effects of electromagnetic field on the isotropic spherical gravastar models in metric gravity. For this purpose, we have explored singularity-free exact models of relativistic spheres with a specific equation of state. After considering Reissner-Nordström spacetime as an exterior region, the interior charged manifold is matched at the junction interface. Several viable realistic characteristics of the spherical gravastar model are studied in the presence of electromagnetic field through graphical representations. It is concluded that the electric charge has a substantial role in the modeling of the proper length, energy contents, entropy, and equation of state parameter of the stellar system. We have also explored the stable regions of the charged gravastar structures.
20 January 2017 in Physical Review D
Journal Article
The purpose of this paper is to check the impact of observer and Palatini terms in the formulations of inhomogeneity factors of spherical relativistic systems. We consider the Lemaître-Tolman-Bondi dynamical model as a compact object and studied its evolution with both tilted and nontilted observers. We performed our analysis for particular cases of fluid distribution in tilted frame and found some energy density irregularity variables. We found that these variables are drastically different from those observed by a nontilted observer. The conformal flat dust and perfect matter contents are homogeneous as long as they impregnate vacuum core. However, this restriction is relaxed, when the complexity in the fluid description is increased. The radial fluid velocity due to tilted congruences and Palatini curvature terms tends to produce hindrances in the appearance of energy-density inhomogeneities in the initially regular spherical stellar populations.
12 March 2018 in International Journal of Modern Physics D
Journal Article
28 May 2020 in Monthly Notices of the Royal Astronomical Society
Journal Article
The aim of this paper is to generalize the definition of complexity for the static self-gravitating structure in f(R, T, Q) gravitational theory, where R is the Ricci scalar, T is the trace part of energy momentum tensor and Q ≡ RαβTαβ. In this context, we have considered locally anisotropic spherical matter distribution and calculated field equations and conservation laws. After the orthogonal splitting of the Riemann curvature tensor, we found the corresponding complexity factor with the help of structure scalars. It is seen that the system may have zero complexity factor if the effects of energy density inhomogeneity and pressure anisotropy cancel the effects of each other. All of our results reduce to general relativity on assuming f(R, T, Q) = R condition.
About Me
Dr. Muhammad Zaeem-ul-Haq Bhatti (M. Z. Bhatti) is a Pakistani Mathematician and HEC Approved Ph.D. Supervisor, specializing in Geometry, Relativity, and Cosmology. He started his career by joining University of the Punjab, Lahore as a Lecturer in 2014. Currently, he is serving as an Assistant Professor in the Department of Mathematics, PU after completing his Ph.D. in 2015. He worked as the Coordinator of M.Sc. Program at the Department of Mathematics, University of the Punjab during 2016-19. He has been receiving more than 90% student evaluation from the departmental students conducted each year by the Quality Enhancement Cell of the University. He attended and presented research papers at various National and International Conferences and is a member of different societies and groups like Pakistan Physical Society and The Group of Gravitation and Cosmology (http://www.pu.edu.pk/ggc/). He has published about 130 research papers in various well-reputed Impact Factor International Journals.