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.

GRAVITATIONAL COLLAPSE AND NON-SELF-SIMILARITY IN THE L–T RELATION

2005 ◽  
Vol 14 (05) ◽  
pp. 849-859
Author(s):  
ANTONINO DEL POPOLO ◽  
N. ERCAN ◽  
N. HIOTELIS
Keyword(s):  
Angular Momentum ◽  
Gravitational Collapse ◽  
External Pressure ◽  
Fundamental Result ◽  
Clusters Of Galaxies ◽  
X Rays ◽  
Self Similarity ◽  
Temperature Relation ◽  
Pressure Term ◽  
Self Similar

We derive the luminosity–temperature relation for clusters of galaxies by means of a modification of the self-similar model to take account of angular momentum acquisition by protostructures and of an external pressure term in the virial theorem. We show that the above effect leads, in X-rays, to a luminosity–temperature relation that scales as L ∝ T5, at scale of groups, flattening to L ∝ T3 for rich clusters and converging to L ∝ T2 at higher temperatures. The fundamental result of the model is that gravitational collapse, which takes account of angular momentum acquisition, can explain the non-self-similarity in the L–T relation, in disagreement with the largely accepted assumption that heating/cooling processes and similar are fundamental in the originating the non-self-similar behavior (shaping) of the L–T relation.

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