Gravitational Collapse of the Shells with the Smeared Gravitational Source in Noncommutative Geometry
arXiv:0906.4428 · doi:10.1007/JHEP03(2010)086
Abstract
We study the formation of the (noncommutative) Schwarzschild black hole from collapsing shell {of the} generalized matters containing polytropic and Chaplygin gas. We show that this collapsing shell depending on various parameters forms either a black hole or a naked singular shell with the help of the pressure.Furthermore, by considering the smeared gravitational sources, we investigate the noncommutative black holes formation. Though this mild noncommutative correction of matters cannot ultimately resolve the emergence of the naked singularity, we show that in some parameter region the collapsing shell evolves to a noncommutative black hole before becoming a naked singular shell.
16 pages, LateX, 9 figures, Title changed in this published version
References in corpus (10)
- Quantum Gravity at a Lifshitz Point
- Spectral Dimension of the Universe in Quantum Gravity at a Lifshitz Point
- Noncommutative geometry inspired charged black holes
- Non-commutative geometry inspired higher-dimensional charged, black holes
- Noncommutative Inspired Black Holes in Extra Dimensions
- Trace Anomaly in Quantum Spacetime Manifold
- Self-sustained traversable wormholes in noncommutative geometry
- The decay-time of non-commutative micro-black holes
- Thermodynamic similarity between the noncommutative Schwarzschild black hole and the Reissner-Nordström black hole
- The Role of Angular Momentum and Cosmic Censorship in the (2+1)-Dimensional Rotating Shell Collapse
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- The final stage of gravitationally collapsed thick matter layers
- Particle Probe of Horava-Lifshitz Gravity
- Stability analysis of Lower Dimensional Gravastars in noncommutative geometry
- Time Evolution of Entanglement Entropy in Holographic FLRW Cosmologies
- Non-Commutative Correction to Thin Shell Collapse in Reissner Nordstrm Geometry