Cosmic matter flux may turn Hawking radiation off
An astrophysical (cosmological) black hole forming in a cosmological context will be subject to a flux of infalling matter and radiation, which will cause the outer apparent horizon (a marginal trapping surface) to be spacelike spacelike (Ellis et al., arXiv:1407.3577 ). As a consequence the radiati...
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| Published in | General relativity and gravitation Vol. 47; no. 2 |
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| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
Boston
Springer US
01.02.2015
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| Subjects | |
| Online Access | Get full text |
| ISSN | 0001-7701 1572-9532 |
| DOI | 10.1007/s10714-014-1848-2 |
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| Abstract | An astrophysical (cosmological) black hole forming in a cosmological context will be subject to a flux of infalling matter and radiation, which will cause the outer apparent horizon (a marginal trapping surface) to be spacelike spacelike (Ellis et al.,
arXiv:1407.3577
). As a consequence the radiation emitted close to the apparent horizon no longer arrives at infinity with a diverging redshift. Standard calculations of the emission of Hawking radiation then indicate that no blackbody radiation is emitted to infinity by the black hole in these circumstances, hence there will also then be no black hole evaporation process due to emission of such radiation as long as the matter flux is significant. The essential adiabatic condition (eikonal approximation) for black hole radiation gives a strong limit to the black holes that can emit Hawking radiation. We give the mass range for the black holes that can radiate, according to their cosmological redshift, for the special case of the cosmic blackbody radiation (CBR) influx (which exists everywhere in the universe). At a very late stage of black hole formation when the CBR influx decays away, the black hole horizon becomes first a slowly evolving horizon and then an isolated horizon; at that stage, black hole radiation will start. This study suggests that the primordial black hole evaporation scenario should be revised to take these considerations into account. |
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| AbstractList | An astrophysical (cosmological) black hole forming in a cosmological context will be subject to a flux of infalling matter and radiation, which will cause the outer apparent horizon (a marginal trapping surface) to be spacelike spacelike (Ellis et al.,
arXiv:1407.3577
). As a consequence the radiation emitted close to the apparent horizon no longer arrives at infinity with a diverging redshift. Standard calculations of the emission of Hawking radiation then indicate that no blackbody radiation is emitted to infinity by the black hole in these circumstances, hence there will also then be no black hole evaporation process due to emission of such radiation as long as the matter flux is significant. The essential adiabatic condition (eikonal approximation) for black hole radiation gives a strong limit to the black holes that can emit Hawking radiation. We give the mass range for the black holes that can radiate, according to their cosmological redshift, for the special case of the cosmic blackbody radiation (CBR) influx (which exists everywhere in the universe). At a very late stage of black hole formation when the CBR influx decays away, the black hole horizon becomes first a slowly evolving horizon and then an isolated horizon; at that stage, black hole radiation will start. This study suggests that the primordial black hole evaporation scenario should be revised to take these considerations into account. |
| ArticleNumber | 6 |
| Author | Firouzjaee, Javad T. Ellis, George F. R. |
| Author_xml | – sequence: 1 givenname: Javad T. surname: Firouzjaee fullname: Firouzjaee, Javad T. email: j.taghizadeh.f@ipm.ir organization: School of Astronomy, Institute for Research in Fundamental Sciences (IPM), Mathematics and Applied Mathematics Department, University of Cape Town – sequence: 2 givenname: George F. R. surname: Ellis fullname: Ellis, George F. R. organization: Mathematics and Applied Mathematics Department, University of Cape Town |
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| Keywords | Hawking radiation Cosmological black holes Cosmic background radiation |
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