Rotational Contraction Effects on Hawking–Bekenstein Entropy in Kerr and Schwarzschild Black Holes

This study explores the influence of relativistic rotational effects on black hole entropy. Specifically, we investigate how the event horizon geometry of Kerr black holes, modified by angular momentum, affects entropy relative to non-rotating Schwarzschild black holes. Using the Bekenstein–Hawking entropy framework and invoking a heuristic analogy to length contraction from special relativity, we propose that increasing angular momentum geometrically contracts the event horizon. This leads to a reduction in its surface area and associated entropy. This geometric thermodynamic relationship offers an intuitive lens to understand the interplay between rotation, gravity, and thermodynamics in black holes.