Classical mass inflation versus semiclassical inner horizon inflation

Carlos Barceló; Valentin Boyanov; Raúl Carballo-Rubio; Luis J. Garay

doi:10.1103/PhysRevD.106.124006

Classical mass inflation versus semiclassical inner horizon inflation

Carlos Barceló
, Valentin Boyanov
, Raúl Carballo-Rubio^*
, Luis J. Garay

^*Corresponding author for this work

Institute of Astrophysics of Andalusia
Complutense University of Madrid

Research output: Contribution to journal › Journal article › Research › peer-review

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Abstract

We analyze the geometry of a spherically symmetric black hole with an inner and outer apparent horizon that is perturbed by spherical null shells of matter. On a classical level we observe that the mass inflation instability is triggered, resulting in a growth of curvature and an inward displacement of the inner horizon. We study in detail the inner structure of the mass-inflated region and compare it with previous results obtained for the case in which the perturbing matter content has a continuous distribution. We then perform an approximate calculation of the renormalized stress-energy tensor of a quantum field in the vicinity of the inner horizon, and analyze the semiclassical backreaction on this region of the geometry. We find that the classical tendency for this horizon to move inward due to mass inflation is challenged and potentially overcome by a semiclassical tendency for it to inflate outward.

Original language	English
Article number	124006
Journal	Physical Review D
Volume	106
Issue number	12
ISSN	2470-0010
DOIs	https://doi.org/10.1103/PhysRevD.106.124006
Publication status	Published - 15. Dec 2022

Funding

Financial support was provided by the Spanish Government through the projects PID2020–118159 GB-C43 and PID-2020–118159 GB-C44, and by the Junta de Andalucía through the Project No. FQM219. V. B. is funded by the Spanish Government fellowship FPU17/04471. C. B. acknowledges financial support from the State Agency for Research of the Spanish MCIU through the “Center of Excellence Severo Ochoa” award to the Instituto de Astrofísica de Andalucía (SEV-2017-0709). R. C. R. acknowledges financial support through a research grant (29405) from VILLUM fonden.

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10.1103/PhysRevD.106.124006

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title = "Classical mass inflation versus semiclassical inner horizon inflation",

abstract = "We analyze the geometry of a spherically symmetric black hole with an inner and outer apparent horizon that is perturbed by spherical null shells of matter. On a classical level we observe that the mass inflation instability is triggered, resulting in a growth of curvature and an inward displacement of the inner horizon. We study in detail the inner structure of the mass-inflated region and compare it with previous results obtained for the case in which the perturbing matter content has a continuous distribution. We then perform an approximate calculation of the renormalized stress-energy tensor of a quantum field in the vicinity of the inner horizon, and analyze the semiclassical backreaction on this region of the geometry. We find that the classical tendency for this horizon to move inward due to mass inflation is challenged and potentially overcome by a semiclassical tendency for it to inflate outward.",

author = "Carlos Barcel{\'o} and Valentin Boyanov and Ra{\'u}l Carballo-Rubio and Garay, \{Luis J.\}",

note = "Funding Information: Financial support was provided by the Spanish Government through the projects PID2020{\textendash}118159 GB-C43 and PID-2020{\textendash}118159 GB-C44, and by the Junta de Andaluc{\'i}a through the Project No. FQM219. V. B. is funded by the Spanish Government fellowship FPU17/04471. C. B. acknowledges financial support from the State Agency for Research of the Spanish MCIU through the {\textquotedblleft}Center of Excellence Severo Ochoa{\textquotedblright} award to the Instituto de Astrof{\'i}sica de Andaluc{\'i}a (SEV-2017-0709). R. C. R. acknowledges financial support through a research grant (29405) from VILLUM fonden. Publisher Copyright: {\textcopyright} 2022 American Physical Society. ",

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AU - Barceló, Carlos

AU - Boyanov, Valentin

AU - Carballo-Rubio, Raúl

AU - Garay, Luis J.

N1 - Funding Information: Financial support was provided by the Spanish Government through the projects PID2020–118159 GB-C43 and PID-2020–118159 GB-C44, and by the Junta de Andalucía through the Project No. FQM219. V. B. is funded by the Spanish Government fellowship FPU17/04471. C. B. acknowledges financial support from the State Agency for Research of the Spanish MCIU through the “Center of Excellence Severo Ochoa” award to the Instituto de Astrofísica de Andalucía (SEV-2017-0709). R. C. R. acknowledges financial support through a research grant (29405) from VILLUM fonden. Publisher Copyright: © 2022 American Physical Society.

PY - 2022/12/15

Y1 - 2022/12/15

N2 - We analyze the geometry of a spherically symmetric black hole with an inner and outer apparent horizon that is perturbed by spherical null shells of matter. On a classical level we observe that the mass inflation instability is triggered, resulting in a growth of curvature and an inward displacement of the inner horizon. We study in detail the inner structure of the mass-inflated region and compare it with previous results obtained for the case in which the perturbing matter content has a continuous distribution. We then perform an approximate calculation of the renormalized stress-energy tensor of a quantum field in the vicinity of the inner horizon, and analyze the semiclassical backreaction on this region of the geometry. We find that the classical tendency for this horizon to move inward due to mass inflation is challenged and potentially overcome by a semiclassical tendency for it to inflate outward.

AB - We analyze the geometry of a spherically symmetric black hole with an inner and outer apparent horizon that is perturbed by spherical null shells of matter. On a classical level we observe that the mass inflation instability is triggered, resulting in a growth of curvature and an inward displacement of the inner horizon. We study in detail the inner structure of the mass-inflated region and compare it with previous results obtained for the case in which the perturbing matter content has a continuous distribution. We then perform an approximate calculation of the renormalized stress-energy tensor of a quantum field in the vicinity of the inner horizon, and analyze the semiclassical backreaction on this region of the geometry. We find that the classical tendency for this horizon to move inward due to mass inflation is challenged and potentially overcome by a semiclassical tendency for it to inflate outward.

U2 - 10.1103/PhysRevD.106.124006

DO - 10.1103/PhysRevD.106.124006

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ER -

Classical mass inflation versus semiclassical inner horizon inflation

Abstract

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