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Critical Phenomena in Gravitational Collapse and the Black Hole Evaporation

Research Project

Project/Area Number 07640390
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field 素粒子・核・宇宙線
Research InstitutionNagoya University

Principal Investigator

TOMIMATSU Akira  Nagoya University, Department of Physics, Professor, 大学院・理学研究科, 教授 (10034612)

Project Period (FY) 1995 – 1996
Project Status Completed (Fiscal Year 1996)
Budget Amount *help
¥1,300,000 (Direct Cost: ¥1,300,000)
Fiscal Year 1996: ¥600,000 (Direct Cost: ¥600,000)
Fiscal Year 1995: ¥700,000 (Direct Cost: ¥700,000)
KeywordsCritical Gravitational Collapse / Quantum Evaporation / Black Hole Physics / Quantum Gravity / General Relativity
Research Abstract

Black holes physics has attracted much attention to investigate interesting properties of strong gravity. However, the main depvelopments of the research area have been limited to stationary black holes. This research project is to study in detail dynamical black holes in spherically symmetric gravitational collapse of a massless scalar field, with the purpose of finding new aspects in classical and quantum levels especially in terms of the critical phenomena and the quantum evaporation. 1. For scalar field collapse some critical phenomena in black hole formation occur as a result of the interaction between self-gravity and wave dispersion. By using the self-similar model of the critical collapse, the dynamical evolution of field variables is quantized under the canonical formalism, and the wave function of evaporating black hole is explicitly derived. This is the first successful example to show the effect of quantum gravity in black hole dynamics. 2. The classical dynamics of scalar field collapse is more extensively studied, and the mass-scaling law of near-critical black holes is found to be due to the generation of an oscillatory mode of scalar fielddisturbing the self-similar collapse. The critical exponent of the mass-scaling law is shown to be determined by the period of the oscillation. The dynamical behavior near the central singularity is also pointed out to be crucial to the black hole mass. 3. A new definition of the surface gravity for dynamical black holes, which gives thermal temperature in quantum evaporation, is proposed. Then, the quantum evaporation shown in the self-similar model is claimed to be a non-thermal process. The more extensive models of quantum critical collapse will be investigated in future works to establish such a non-thermal (dynamical) property of evaporating black holes.

Report

(3 results)
  • 1996 Annual Research Report   Final Research Report Summary
  • 1995 Annual Research Report
  • Research Products

    (16 results)

All Other

All Publications (16 results)

  • [Publications] A. Tomimatsu: "Quantum gravitational collapse o a scalar field and the wave function of black hole decay" Physical Review D. 52・8. 4540-4547 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] K. Nakamura: "Quantum formation of black holes and wormholes in the gravitational collapse of a dust shell" Physical Review D. 53・8. 4356-4365 (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] Y. Oshiro: "Critical behavior near the singularity in a scalar field collapse" Physical Review D. 54・2. 1540-1547 (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] G. Fodor: "Surface gravity in dynamical spherically symmetric spacetimes" Physical Review D. 54・6. 3882-3891 (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] A. Tomimatsu: "Cosmological Constant and the Evolution of the Universe" Universal Academy Press, Inc., 2 (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] A.Tomimatsu: "Quantum gravitational collapse of a scalar field and the wave function of black hole decay" Phys.Rev.D.52-8. 4540-4547 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] K.Nakamura: "Quantum formation of black holes and wormholes in the gravitational collapse of a dust shell" Phys.Rev.D.53-8. 4356-4365 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] Y.Oshiro: "Critical behavior near the singularity in a scalar field collapse" Phys.Rev.D.54-2. 1540-1547 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] G.Fodor: "Surface gravity in dynamical spherically symmetric spacetimes" Phys.Rev.D.54-6. 3882-3891 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] A.Tomimatsu: A Quantum-Mechanical Model of Black Hole Decay, in Cosmological Constant and the Evolution of the Universe, edited by K.Sato, T.Suginohara and N.Sugiyama. Universal Academy Press, Inc., 299-300 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] K.Nakamura: "Quantum formation of black holes and wormholes in the gravitational collapse of a dust shell" Physical Review D. 53・8. 4356-4365 (1996)

    • Related Report
      1996 Annual Research Report
  • [Publications] Y.Oshiro: "Critical behavior near the singularity in a scalar field collapse" Physical Review D. 54・2. 1540-1547 (1996)

    • Related Report
      1996 Annual Research Report
  • [Publications] G.Fodor: "Surface gravity in dynamical spherically symmetric spacetimes" Physical Review D. 54・6. 3882-3891 (1996)

    • Related Report
      1996 Annual Research Report
  • [Publications] A.Tomimatsu: "Cosmological Constant and the Evolidion of the Universe" Universal Academy Press,Inc., 2 (1996)

    • Related Report
      1996 Annual Research Report
  • [Publications] A.Tomimatsu: "Quantum gravitational collapse of a scalar field and the wave function of black hole decay" Phys.Rev.D. 52. 4540-4547 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] K.Nakamura: "Quantum formation of black hole and wormhole in gravitational collapse of a dust shell" Phys.Rev.D. 53(発表予定). (1996)

    • Related Report
      1995 Annual Research Report

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Published: 1995-04-01   Modified: 2016-04-21  

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