Linearized stability analysis of gravastars in noncommutative geometry - INSPIRE

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Linearized stability analysis of gravastars in noncommutative geometry

Francisco S.N. Lobo
(
- Lisbon U., CAAUL
)
,
Remo Garattini
(
- Bergamo U., Ingengneria Dept. and
- INFN, Milan
)

Apr, 2010

19 pages

Published in:

JHEP 12 (2013) 065

Published: 2013

e-Print:

1004.2520 [gr-qc]

DOI:

10.1007/JHEP12(2013)065

View in:

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Abstract: (arXiv)

In this work, we find exact gravastar solutions in the context of noncommutative geometry, and explore their physical properties and characteristics. The energy density of these geometries is a smeared and particle-like gravitational source, where the mass is diffused throughout a region of linear dimension

\sqrt{(\alpha)}

due to the intrinsic uncertainty encoded in the coordinate commutator. These solutions are then matched to an exterior Schwarzschild spacetime. We further explore the dynamical stability of the transition layer of these gravastars, for the specific case of

\beta=M^2/\alpha<1.9

, where M is the black hole mass, to linearized spherically symmetric radial perturbations about static equilibrium solutions. It is found that large stability regions exist and, in particular, located sufficiently close to where the event horizon is expected to form.

Note:

6 pages, 3 figures

04.90.+e
04.62.+v
geometry: noncommutative
space-time: Schwarzschild
energy: density
gravastar
stability: linear

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Figures(3)

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