Wormhole Geometry in General Relativity & Modified Gravity
Rotating Black Holes and Rotating Wormholes
Complexity Factor Formalism in Self-Gravitating Systems
Photon Spheres, Shadows & Strong Gravitational Lensing
Gravitational Waves and Compact Objects
My research focuses on the geometric and physical structure of compact objects, particularly wormholes and black holes, within both Einstein gravity and modified gravitational theories. I investigate how anisotropy, inhomogeneity, and spacetime curvature shape the internal structure and observable properties of these systems.
A central theme of my work is the application of the complexity factor formalism to classify gravitational configurations and construct viable wormhole geometries. I am especially interested in linking rigorous mathematical modeling with astrophysical observables such as photon spheres, shadow formation, and gravitational wave signatures.
My broader goal is to bridge mathematical relativity, geometric analysis, and observational gravity to better understand the fundamental nature of spacetime.
Mathematica
Python
(Used extensively for analytical computation, symbolic tensor calculations, numerical modeling, and visualization in my published research.)