Department of Mathematics

Research Group 3: Theory of Relativity

Research Group Title Theory of Relativity
Area of Research Discussion of astronomical issues in general relativity and modified theories
Theme of Research / Goals Understanding and implication of issues of astronomy, Holography, Thermal Synchrotron Radiations, Repetitive Penrose Process.
Faculty Members Dr. Syed Ali Mardan Azmi, Dr. Rubab Manzoor, Miss Sana Saleem, Dr. Muhammad Israr Aslam
Collaborating UMT Departments Mathematics
Collaborating National Institutes Dr. Ifra Noureen, GCUF, Faisalabad; Dr. Saadia Mumtaz, PU Lahore; Dr. Rabia Saleem, CUI, Lahore; Dr. Abdul Malik, Sultan University of Okara, Okara
Collaborating International Institutes Dr. Faisal Javed, Zhejiang Normal University, China; Dr. Xiao-Xiong Zeng, Chongqing Normal University, China; Dr. Saira Waheed, Prince Mohammad Bin Fahd University, Saudi Arabia
Names of Active Senior Students Anum Zahra, Awais
Short Description of the Research Theme The research group, comprising Dr. Syed Ali Mardan Azmi, Dr. Rubab Mansoor, Ms. Sana Saleem, Dr. Israr, Dr. Alladita Shahid and graduate students, focuses on foundational and advanced studies in gravitation and spacetime physics. The work centers on the mathematical structure and physical implications of relativistic gravity, emphasizing geometric, symmetry-based, and variational principles that govern spacetime dynamics. The group investigates classical gravitational theory alongside consistent extensions motivated by cosmology, high-energy physics, and quantum considerations. Key themes include the role of symmetry and group structures in relativistic frameworks, the behavior of compact objects and strong-field regimes, and the theoretical description of large-scale cosmic evolution. They also explore generalized gravitational models that modify or extend standard assumptions while maintaining mathematical consistency and observational viability. By combining analytical techniques, geometric methods, and phenomenological analysis, the group aims to deepen understanding of gravity’s fundamental nature and to address open problems related to cosmic acceleration, matter–energy distribution, and the unification of gravitation with fundamental physics.
SDGs Covered SDG4, SDG9, SDG17
List of 5 relevant publications:
  1. Zeng X-X, Yang C-Y, Aslam MI, Saleem R, Aslam S. Kerr-like black hole surrounded by cold dark matter halo: the shadow images and EHT constraints. J Cosmology Astropart Phys. 2025;2025(8):066. doi:10.1088/1475-7516/2025/08/066.
  2. Saleem S, Waqqas J, Tariq T, Mardan SA. Cosmic evolution and stability of the Einstein Static Universe in modified gravity models. Ann Phys. 2026;485:170321. doi:10.1016/j.aop.2025.170321.
  3. Shahid W, Manzoor R, Mumtaz S, Ali SM, Malik A. Stability of evolving cluster of stars and exotic matter. Eur Phys J C. 2024;84:1336. doi:10.1140/epjc/s10052-024-13703-8.
  4. Zahra A, Mardan SA, Saleem S, Riaz MB, Kozubek T. Estimation of mass and radii for charged compact objects using a modified Chaplygin equation of state in the Buchdahl-I metric. PLoS One. 2025;20(5):e0321111. doi:10.1371/journal.pone.0321111.
  5. Manzoor R, Iftikhar S, Karim S. Impact of plasma on the shadow of a charged spherically symmetric black hole. Int J Geom Methods Mod Phys. 2026;XX(X):2650157. doi:10.1142/S0219887826501574.

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