Are black holes springlike?

A (3 +1 )-dimensional asymptotically flat Kerr black hole angular speed Ω₊ can be used to define an effective spring constant, k =m Ω₊₂. Its maximum value is the Schwarzschild surface gravity, k =κ , which rapidly weakens as the black hole spins down and the temperature increases. The Hawking temperature is expressed in terms of the spring constant: 2 π T =κ -k . Hooke's law, in the extremal limit, provides the force F =1 /4 , which is consistent with the conjecture of maximum force in general relativity.