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- Publisher Website: 10.1103/PhysRevD.94.104002
- Scopus: eid_2-s2.0-84994654191
- WOS: WOS:000386651900002
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Article: Volume inside old black holes
Title | Volume inside old black holes |
---|---|
Authors | |
Issue Date | 2016 |
Citation | Physical Review D, 2016, v. 94, n. 10, article no. 104002 How to Cite? |
Abstract | © 2016 American Physical Society. Black holes that have nearly evaporated are often thought of as small objects, due to their tiny exterior area. However, the horizon bounds large spacelike hypersurfaces. A compelling geometric perspective on the evolution of the interior geometry was recently shown to be provided by a generally covariant definition of the volume inside a black hole using maximal surfaces. In this article, we expand on previous results and show that finding the maximal surfaces in an arbitrary spherically symmetric spacetime is equivalent to a 1+1 geodesic problem. We then study the effect of Hawking radiation on the volume by computing the volume of maximal surfaces inside the apparent horizon of an evaporating black hole as a function of time at infinity: while the area is shrinking, the volume of these surfaces grows monotonically with advanced time, up to when the horizon has reached Planckian dimensions. The physical relevance of these results for the information paradox and the remnant scenarios are discussed. |
Persistent Identifier | http://hdl.handle.net/10722/285768 |
ISSN | 2023 Impact Factor: 4.6 2023 SCImago Journal Rankings: 1.587 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Christodoulou, Marios | - |
dc.contributor.author | De Lorenzo, Tommaso | - |
dc.date.accessioned | 2020-08-18T04:56:35Z | - |
dc.date.available | 2020-08-18T04:56:35Z | - |
dc.date.issued | 2016 | - |
dc.identifier.citation | Physical Review D, 2016, v. 94, n. 10, article no. 104002 | - |
dc.identifier.issn | 2470-0010 | - |
dc.identifier.uri | http://hdl.handle.net/10722/285768 | - |
dc.description.abstract | © 2016 American Physical Society. Black holes that have nearly evaporated are often thought of as small objects, due to their tiny exterior area. However, the horizon bounds large spacelike hypersurfaces. A compelling geometric perspective on the evolution of the interior geometry was recently shown to be provided by a generally covariant definition of the volume inside a black hole using maximal surfaces. In this article, we expand on previous results and show that finding the maximal surfaces in an arbitrary spherically symmetric spacetime is equivalent to a 1+1 geodesic problem. We then study the effect of Hawking radiation on the volume by computing the volume of maximal surfaces inside the apparent horizon of an evaporating black hole as a function of time at infinity: while the area is shrinking, the volume of these surfaces grows monotonically with advanced time, up to when the horizon has reached Planckian dimensions. The physical relevance of these results for the information paradox and the remnant scenarios are discussed. | - |
dc.language | eng | - |
dc.relation.ispartof | Physical Review D | - |
dc.title | Volume inside old black holes | - |
dc.type | Article | - |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.1103/PhysRevD.94.104002 | - |
dc.identifier.scopus | eid_2-s2.0-84994654191 | - |
dc.identifier.volume | 94 | - |
dc.identifier.issue | 10 | - |
dc.identifier.spage | article no. 104002 | - |
dc.identifier.epage | article no. 104002 | - |
dc.identifier.eissn | 2470-0029 | - |
dc.identifier.isi | WOS:000386651900002 | - |
dc.identifier.issnl | 2470-0010 | - |