The Last Eight Minutes of a Primordial Black Hole

dc.creatorKapusta, Joseph
dc.date1999-11-16
dc.date.accessioned2026-07-07T02:34:29Z
dc.date.available2026-07-07T02:34:29Z
dc.descriptionAbout eight minutes before a black hole expires it has a decreasing mass of 10^{10} g, an increasing temperature of 1 TeV, and an increasing luminosity of 7x10^{27} erg/s. I show that such a black hole is surrounded by a quasi-stationary shell of matter undergoing radial hydrodynamic expansion. The inner radius of this shell is bounded by ten times the Schwarzschild radius of 1.6x10^{-5} fm and has a temperature about one-tenth that of the black hole. The outer radius, as defined by the photosphere, is about 1000 fm, has a local temperature of 100 keV, and is moving with a Lorentz gamma factor of 10^7. Most of the emitted radiation is in photons with small amounts in gravitons and neutrinos. I calculate the instantaneous photon spectrum and then integrate it over the last eight minutes to obtain the energy distribution dN_{gamma}/dE = 4πm_{P}^2/15E^3 for E > several TeV .
dc.description9 pages, no figures
dc.identifierhttps://arxiv.org/abs/astro-ph/9911309
dc.identifierhttp://arxiv.org/abs/astro-ph/9911309
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/15262
dc.subjectAstrophysics
dc.subjectHigh Energy Physics - Phenomenology
dc.titleThe Last Eight Minutes of a Primordial Black Hole
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