Abstract
We investigate here the spectrum of gravitational collapse endstates when arbitrarily small perfect fluid pressures are introduced in the classic black hole formation scenario as described by Oppenheimer, Snyder and Datt (OSD) (Oppenheimer and Snyder in Phys Rev 56:455, 1939; Datt in Zs f Phys 108:314, 1938). This extends a previous result on tangential pressures (Joshi and Malafarina Phys Rev D 83:024009, 2011) to the physically more realistic scenario of perfect fluid collapse. The existence of classes of pressure perturbations is shown explicitly, which has the property that injecting any smallest pressure changes the final fate of the dynamical collapse from a black hole to a naked singularity. It is therefore seen that any smallest neighborhood of the OSD model, in the space of initial data, contains collapse evolutions that go to a naked singularity outcome. This gives an intriguing insight on the nature of naked singularity formation in gravitational collapse.
| Original language | English |
|---|---|
| Pages (from-to) | 305-317 |
| Number of pages | 13 |
| Journal | General Relativity and Gravitation |
| Volume | 45 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - 2013 |
| Externally published | Yes |
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Keywords
- Black holes
- Gravitational collapse
- Naked singularity
ASJC Scopus subject areas
- Physics and Astronomy (miscellaneous)
Cite this
Instability of black hole formation under small pressure perturbations. / Joshi, Pankaj S.; Malafarina, Daniele.
In: General Relativity and Gravitation, Vol. 45, No. 2, 2013, p. 305-317.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Instability of black hole formation under small pressure perturbations
AU - Joshi, Pankaj S.
AU - Malafarina, Daniele
PY - 2013
Y1 - 2013
N2 - We investigate here the spectrum of gravitational collapse endstates when arbitrarily small perfect fluid pressures are introduced in the classic black hole formation scenario as described by Oppenheimer, Snyder and Datt (OSD) (Oppenheimer and Snyder in Phys Rev 56:455, 1939; Datt in Zs f Phys 108:314, 1938). This extends a previous result on tangential pressures (Joshi and Malafarina Phys Rev D 83:024009, 2011) to the physically more realistic scenario of perfect fluid collapse. The existence of classes of pressure perturbations is shown explicitly, which has the property that injecting any smallest pressure changes the final fate of the dynamical collapse from a black hole to a naked singularity. It is therefore seen that any smallest neighborhood of the OSD model, in the space of initial data, contains collapse evolutions that go to a naked singularity outcome. This gives an intriguing insight on the nature of naked singularity formation in gravitational collapse.
AB - We investigate here the spectrum of gravitational collapse endstates when arbitrarily small perfect fluid pressures are introduced in the classic black hole formation scenario as described by Oppenheimer, Snyder and Datt (OSD) (Oppenheimer and Snyder in Phys Rev 56:455, 1939; Datt in Zs f Phys 108:314, 1938). This extends a previous result on tangential pressures (Joshi and Malafarina Phys Rev D 83:024009, 2011) to the physically more realistic scenario of perfect fluid collapse. The existence of classes of pressure perturbations is shown explicitly, which has the property that injecting any smallest pressure changes the final fate of the dynamical collapse from a black hole to a naked singularity. It is therefore seen that any smallest neighborhood of the OSD model, in the space of initial data, contains collapse evolutions that go to a naked singularity outcome. This gives an intriguing insight on the nature of naked singularity formation in gravitational collapse.
KW - Black holes
KW - Gravitational collapse
KW - Naked singularity
UR - http://www.scopus.com/inward/record.url?scp=84873056372&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84873056372&partnerID=8YFLogxK
U2 - 10.1007/s10714-012-1471-z
DO - 10.1007/s10714-012-1471-z
M3 - Article
AN - SCOPUS:84873056372
VL - 45
SP - 305
EP - 317
JO - General Relativity and Gravitation
JF - General Relativity and Gravitation
SN - 0001-7701
IS - 2
ER -