scholarly journals Initial data sets for the Schwarzschild spacetime

2007 ◽  
Vol 75 (2) ◽  
Author(s):  
Alfonso García-Parrado Gómez-Lobo ◽  
Juan A. Valiente Kroon
2004 ◽  
Vol 93 (8) ◽  
Author(s):  
Piotr T. Chruściel ◽  
James Isenberg ◽  
Daniel Pollack

2008 ◽  
Vol 58 (9) ◽  
pp. 1186-1202 ◽  
Author(s):  
Alfonso García-Parrado Gómez-Lobo ◽  
Juan A. Valiente Kroon

1988 ◽  
Vol 117 (4) ◽  
pp. 625-638 ◽  
Author(s):  
Oscar Reula

2017 ◽  
Vol 34 (12) ◽  
pp. 125013 ◽  
Author(s):  
J A Valiente Kroon ◽  
J L Williams

2005 ◽  
Vol 14 (10) ◽  
pp. 1761-1767 ◽  
Author(s):  
UJJAL DEBNATH ◽  
SUBENOY CHAKRABORTY ◽  
NARESH DADHICH

By linearly scaling the initial data set (mass and kinetic energy functions), it is found that the dynamics of quasi-spherical (or spherical) collapse remains invariant for dust or a general (Type I) matter field, provided the comoving radius is also appropriately scaled. This defines a symmetry of the quasi spherical (or spherical) collapse. That is, the linear transformation identifies an equivalence class of data sets which lead to the same end result as well as its evolution all through. In particular, it is shown that the physical parameters, density and shear remain invariant. What the transformation is exhibiting is an interesting scaling relationship between mass, kinetic energy and the size of the collapsing sphere which is respected not only by the initial data set but remarkably also by the dynamics of collapse.


Sign in / Sign up

Export Citation Format

Share Document