scholarly journals Initial data sets of minimal energy

1988 ◽  
Vol 117 (4) ◽  
pp. 625-638 ◽  
Author(s):  
Oscar Reula
Keyword(s):  
Initial Data ◽  
Data Sets ◽  
Minimal Energy

scholarly journals Initial data sets for the Schwarzschild spacetime

2007 ◽  
Vol 75 (2) ◽  
Author(s):  
Alfonso García-Parrado Gómez-Lobo ◽  
Juan A. Valiente Kroon
Keyword(s):  
Initial Data ◽  
Data Sets ◽  
Schwarzschild Spacetime

Gluing Initial Data Sets for General Relativity

2004 ◽  
Vol 93 (8) ◽  
Author(s):  
Piotr T. Chruściel ◽  
James Isenberg ◽  
Daniel Pollack
Keyword(s):  
General Relativity ◽  
Initial Data ◽  
Data Sets

scholarly journals Killing spinor initial data sets

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

scholarly journals Dain’s invariant on non-time symmetric initial data sets

2017 ◽  
Vol 34 (12) ◽  
pp. 125013 ◽  
Author(s):  
J A Valiente Kroon ◽  
J L Williams
Keyword(s):  
Initial Data ◽  
Data Sets ◽  
Symmetric Initial Data

scholarly journals A DYNAMICAL SYMMETRY OF THE QUASI-SPHERICAL (OR SPHERICAL) COLLAPSE

2005 ◽  
Vol 14 (10) ◽  
pp. 1761-1767 ◽  
Author(s):  
UJJAL DEBNATH ◽  
SUBENOY CHAKRABORTY ◽  
NARESH DADHICH
Keyword(s):  
Kinetic Energy ◽  
Initial Data ◽  
Dynamical Symmetry ◽  
Matter Field ◽  
Physical Parameters ◽  
Data Sets ◽  
Type I ◽  
Data Set ◽  
Spherical Collapse ◽  
Scaling Relationship

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.

scholarly journals On Large Volume Preserving Stable CMC Surfaces in Initial Data Sets

2012 ◽  
Vol 91 (1) ◽  
pp. 81-102 ◽  
Author(s):  
Michael Eichmair ◽  
Jan Metzger
Keyword(s):  
Initial Data ◽  
Large Volume ◽  
Data Sets ◽  
Cmc Surfaces ◽  
Volume Preserving
Sign in / Sign up

Export Citation Format

Share Document