Work

Binding Energy Across Classical Black Holes: A Horizon-Based Thermodynamic Approach

Year: 2025
Type: article
Abstract: We present analytic expressions for the dimensional quantity B.E. = κMr+, which combines surface gravity κ, black hole mass M, and event-horizon radius r+, across classical black-hole spacetimes: Kerr–Newman (rotating, charged), Kerr (rotating), Reissner–Nordstrom (charged), and Schwarzschild (neutral, non-rotating). This expression serves as a thermodynamic energy proxy, reflecting the interplay between horizon properties and gravitational binding in black holes. It recovers the classical result 1/2 Mc2 for the Schwarzschild case and vanishes in extremal limits—consistent with the third law of black hole thermodynamics. We further discuss implications for gravitational energy extraction and astrophysical jet formation.
Author: Joseph Olloh
Language: English
Open Access status: hybrid
OpenAlex ID: W4413612129
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