Saudi Arabia
KING KHALID UNIVERSITY
Abha, 61413
King Khalid University
Black Holes, ModMax Electrodynamics, Kalb-Ramond Fields, Lorentz Symmetry Breaking, Gravitational Lensing, Shadow
Compact Stars, Karmarker Condition, $f(R, \phi)$ gravity, Energy conditions, .
Black hole, circular orbit, particle motion, quasi-periodic oscillation
Lichnerowicz-harmonic map, self-shrinker, totally geodesic submanifold, warped product manifold, first variation formula, Hopf lemma