Classical thermodynamics of gravitational collapse

Abstract

We study numerically gravitational collapse of a spherically symmetric instanton particle in five dimensions. We show that the late stages of the process are characterized by a nearly constant ``free energy'', the value of which matches (within numerical uncertainties) the value obtained from standard black-hole thermodynamics. This suggests a purely classical interpretation of the free energy of a black hole.

11 pages, 5 figures; v3: minor changes; published in Phys. Rev. D

References in corpus (5)

• Gravitating Yang-Mills vortices in 4+1 spacetime dimensions
• Large metric perturbations from rescattering
• Brane-worlds and theta-vacua
• Bulk black hole, escaping photons, and bounds on violations of Lorentz invariance
• Massive Schwinger model with a finite inductance: theta-(in)dependence, the U(1) problem, and low-energy theorems

Cited by in corpus (5)

• Extremal black holes, gravitational entropy and nonstationary metric fields
• Emergence of thin shell structure during collapse in isotropic coordinates
• Numerical thermodynamic studies of classical gravitational collapse in 3+1 and 4+1 dimensions
• Directly observing entropy accumulate on the horizon and holography
• Formation of a condensate during charged collapse