Black Hole Entropy: a spacetime foam approach

Abstract

The spacetime foam structure is reviewed briefly (topogical fluctuations and virtual black hole possibility; equation of state of the foam). A model of space foam at the surface of the event horizon is introduced. The model is applied to the calculus of the number of states of a black hole, of its entropy and of other thermodynamical properties. A formula for the number of microholes on the surface of the event horizon is derived. Thermodynamical properties of the event horizon are extended to thermodynamical properties of the space. On the basis of the previous results, the possibility of micro black holes creation by the Unruh Effect is investigated.

23 pages, no figures, postscript file gzipped,to be published in Classical and Quantum Gravity, July 1997

References in corpus (4)

• The World as a Hologram
• Thermodynamics of Spacetime: The Einstein Equation of State
• Entropy Bounds and Black Hole Remnants
• Dynamical Origin of the Entropy of a Black Hole

Cited by in corpus (9)

• Nonextensive Black Hole Entropy and Quantum Gravity Effects at the Last Stages of Evaporation
• Entropy from the foam
• The Quantum Field Theory Boundaries Applicability and Black Holes Thermodynamics
• Higher-order generalized uncertainty principle corrections to the Jeans mass
• Spacetime Foam Model of the Schwarzschild Horizon
• Virtual Black Holes from Generalized Uncertainty Principle and Proton Decay
• Spacetimes as topological spaces, and the need to take methods of general topology more seriously
• The Black Hole Quantum Entropy and Its Minimal Value
• Gravitational Thermodynamics of Space-time Foam in One-loop Approximation