Thermal corpuscular black holes
| Autor: | Andrea Giugno, Roberto Casadio, Alessio Orlandi |
|---|---|
| Přispěvatelé: | Casadio, R., Giugno, A., Orlandi, A. |
| Jazyk: | angličtina |
| Rok vydání: | 2015 |
| Předmět: |
High Energy Physics - Theory
Physics Quantum Physics Nuclear and High Energy Physics Black hole information paradox FOS: Physical sciences General Relativity and Quantum Cosmology (gr-qc) General Relativity and Quantum Cosmology Black hole Micro black hole High Energy Physics::Theory High Energy Physics - Theory (hep-th) Quantum mechanics Extremal black hole Black holes corpuscular model Hawking radiation Ground state Quantum Physics (quant-ph) Black hole thermodynamics Hawking radiation Black hole complementarity |
| Popis: | We study the corpuscular model of an evaporating black hole consisting of a specific quantum state for a large number $N$ of self-confined bosons. The single-particle spectrum contains a discrete ground state of energy $m$ (corresponding to toy gravitons forming the black hole), and a gapless continuous spectrum (to accommodate for the Hawking radiation with energy $��>m$). Each constituent is in a superposition of the ground state and a Planckian distribution at the expected Hawking temperature in the continuum. We first find that, assuming the Hawking radiation is the leading effect of the internal scatterings, the corresponding $N$-particle state can be collectively described by a single-particle wave-function given by a superposition of a total ground state with energy $M=N\,m$ and a Planckian distribution for $E>M$ at the same Hawking temperature. From this collective state, we compute the partition function and obtain an entropy which reproduces the usual area law with a logarithmic correction precisely related with the Hawking component. By means of the horizon wave-function for the system, we finally show the backreaction of modes with $��>m$ reduces the Hawking flux. Both corrections, to the entropy and to the Hawking flux, suggest the evaporation properly stops for vanishing mass, if the black hole is in this particular quantum state. PDFLaTeX, 15 pages, 2 figure. Version to appear in PRD |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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