Pulsation of black holes

The Hawking–Penrose singularity theorem states that a singularity forms inside a black hole in general relativity. To remove this singularity one must resort to a more fundamental theory. Using a corrected dynamical equation arising in loop quantum cosmology and braneworld models, we study the gravi...

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Bibliographic Details
Published in:General relativity and gravitation 2018, Vol.50 (1), p.1-19, Article 15
Main Authors: Gao, Changjun, Lu, Youjun, Shen, You-Gen, Faraoni, Valerio
Format: Article
Language:English
Subjects:
Astronomical models
Astronomy
Astrophysics and Cosmology
Black holes
Classical and Quantum Gravitation
Cosmology
Differential Geometry
Equations of state
Gravitational collapse
Gravitational waves
Gravity
Mathematical and Computational Physics
Physics
Physics and Astronomy
Quadrupoles
Quantum Physics
Relativity
Relativity Theory
Research Article
Theoretical
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Summary:The Hawking–Penrose singularity theorem states that a singularity forms inside a black hole in general relativity. To remove this singularity one must resort to a more fundamental theory. Using a corrected dynamical equation arising in loop quantum cosmology and braneworld models, we study the gravitational collapse of a perfect fluid sphere with a rather general equation of state. In the frame of an observer comoving with this fluid, the sphere pulsates between a maximum and a minimum size, avoiding the singularity. The exterior geometry is also constructed. There are usually an outer and an inner apparent horizon, resembling the Reissner–Nordström situation. For a distant observer the horizon crossing occurs in an infinite time and the pulsations of the black hole quantum “beating heart” are completely unobservable. However, it may be observable if the black hole is not spherical symmetric and radiates gravitational wave due to the quadrupole moment, if any.
ISSN:0001-7701
1572-9532
DOI:10.1007/s10714-017-2335-3