scholarly journals Self-similar gravitational collapse in an expanding universe

1984 ◽  
Vol 281 ◽  
pp. 1 ◽  
Author(s):  
J. A. Fillmore ◽  
P. Goldreich
Keyword(s):  
Gravitational Collapse ◽  
Expanding Universe ◽  
Self Similar

Self‐Similar Gravitational Collapse of Radiatively Cooling Spheres

2004 ◽  
Vol 607 (2) ◽  
pp. 879-889 ◽  
Author(s):  
Masakatsu Murakami ◽  
Katsunobu Nishihara ◽  
Tomoyuki Hanawa
Keyword(s):  
Gravitational Collapse ◽  
Self Similar

scholarly journals Larson–Penston Self-similar Gravitational Collapse

2021 ◽  
Author(s):  
Yan Guo ◽  
Mahir Hadžić ◽  
Juhi Jang
Keyword(s):  
Equation Of State ◽  
Numerical Integration ◽  
Gravitational Collapse ◽  
Similar Solution ◽  
Newtonian Gravity ◽  
Asymptotically Flat ◽  
Self Similar Solution ◽  
Self Similar ◽  
Isothermal Equation

AbstractUsing numerical integration, in 1969 Penston (Mon Not R Astr Soc 144:425–448, 1969) and Larson (Mon Not R Astr Soc 145:271–295, 1969) independently discovered a self-similar solution describing the collapse of a self-gravitating asymptotically flat fluid with the isothermal equation of state $$p=k\varrho $$ p = k ϱ , $$k>0$$ k > 0 , and subject to Newtonian gravity. We rigorously prove the existence of such a Larson–Penston solution.

Naked singularities in self-similar gravitational collapse

1990 ◽  
Vol 41 (12) ◽  
pp. 3866-3868 ◽  
Author(s):  
Kayll Lake ◽  
T. Zannias
Keyword(s):  
Gravitational Collapse ◽  
Naked Singularities ◽  
Self Similar

scholarly journals GRAVITATIONAL COLLAPSE OF A MASSLESS SCALAR FIELD AND A PERFECT FLUID WITH SELF-SIMILARITY OF THE FIRST KIND IN 2+1 DIMENSIONS

2008 ◽  
Vol 17 (11) ◽  
pp. 2143-2158 ◽  
Author(s):  
F. I. M. PEREIRA ◽  
R. CHAN
Keyword(s):  
Black Holes ◽  
Scalar Field ◽  
Perfect Fluid ◽  
Gravitational Collapse ◽  
Massless Scalar ◽  
Massless Scalar Field ◽  
Self Similarity ◽  
Global Properties ◽  
Self Similar ◽  
Similar Solutions

Self-similar solutions of a collapsing perfect fluid and a massless scalar field with kinematic self-similarity of the first kind in 2+1 dimensions are obtained. The local and global properties of the solutions are studied. It is found that some of them represent gravitational collapse, in which black holes are always formed, and some may be interpreted as representing cosmological models.

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