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Gao, Changjun; Lu, Youjun; Shen, You-Gen; Faraoni, Valerio

Pulsation of black holes. (English) Zbl 1381.83043

Gen. Relativ. Gravitation 50, No. 1, Paper No. 15, 19 p. (2018).
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.

Cited in 1 Document

MSC:

83C47 Methods of quantum field theory in general relativity and gravitational theory
83C57 Black holes
83C75 Space-time singularities, cosmic censorship, etc.
83F05 Relativistic cosmology

Keywords:

gravitational collapse; loop quantum cosmology; matching conditions
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