Are Black Holes Springy?

Abstract

A $(3+1)$-dimensional asymptotically flat Kerr black hole angular speed ${\Omega }_{+}$ can be used to define an effective spring constant, $k=m{\Omega }_{+}^2$. Its maximum value is the Schwarzschild surface gravity, $k=\kappa$, which rapidly weakens as the black hole spins down and the temperature increases. The Hawking temperature is expressed in terms of the spring constant: $2\pi T=\kappa -k$. 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.

15 pages, 2 figures, fixed slow loading of Fig.2

References in corpus (21)

• Lectures on holographic methods for condensed matter physics
• The String Landscape, Black Holes and Gravity as the Weakest Force
• Black plane solutions in four dimensional spacetimes
• Rotating Charged Black Strings in General Relativity
• Hidden Conformal Symmetry of the Kerr Black Hole
• The Kerr Metric
• The Kerr spacetime: A brief introduction
• Gravitational instability of an extreme Kerr black hole
• Where is the PdV term in the first law of black hole thermodynamics?
• The Maximum Tension Principle in General Relativity
• Black Holes, Information, and Hilbert Space for Quantum Gravity
• What happens at the horizon(s) of an extreme black hole?
• Maximum Tension: with and without a cosmological constant
• Nonlinear instability of scalar fields on extremal black holes
• General relativity and cosmology derived from principle of maximum power or force
• Thermodynamics of rotating black holes and black rings: phase transitions and thermodynamic volume
• Bounding the Temperatures of Black Holes Dual to Strongly Coupled Field Theories on Flat Spacetime
• Hawking temperature from quasi-normal modes
• Thermodynamics of charged and rotating black strings
• Visualizing Spacetime Curvature via Gradient Flows III: The Kerr Metric and the Transitional Values of the Spin Parameter
• What are extremal Kerr Killing vectors up to?

Cited by in corpus (26)

• Shapes of rotating nonsingular black hole shadows
• GUP-Corrected Black Hole Thermodynamics and the Maximum Force Conjecture
• A maximum magnetic moment to angular momentum conjecture
• Abolishing the maximum tension principle
• Particle spectrum of the Reissner-Nordström black hole
• Spacetime continuity and quantum information loss
• Accelerating boundary analog of a Kerr black hole
• Observers in Kerr spacetimes: the ergoregion on the equatorial plane
• Reflecting at the Speed of Light
• Tests For Maximum Force and Maximum Power
• Maximum force and cosmic censorship
• The Quantum Atmosphere of Reissner-Nordström Black Holes
• Multipole moments on the common horizon in a binary-black-hole simulation
• On Black Hole Thermodynamics, Singularity, and Gravitational Entropy
• Relativistic quantum information as radiation reaction: entanglement entropy and self-force of a moving mirror analog to the CGHS black hole
• From maximum force to the field equations of general relativity -- and implications
• Geometric creation of quantum vorticity
• The Hookean Law of Black Holes and Fragmentation: Insights from Maximum Force Conjecture and Ruppeiner Geometry
• Stationary Worldline Power Distributions
• From maximum force to physics in 9 lines and towards relativistic quantum gravity
• On a Uniformly Accelerated Point Charge moving along a Cusp
• Hawking Temperature and the Inverse-Radius Scale of the Horizon
• Black Holes, Complex Curves, and Graph Theory: Revising a Conjecture by Kasner
• Equilibrium and nonequilibrium quantum correlations between two detectors in curved space time
• The Stationary Worldlines and Power Distributions of a Point Charge
• A modification to the mirror trajectory corresponding to shell collapse