Scaling up the extrinsic curvature in gravitational initial data

No Thumbnail Available
Files
3597.pdf(514.3 KB)
Published Version
Date
2012
Authors
Bai, Shan
Ó Murchadha, Niall
Journal Title
Journal ISSN
Volume Title
Publisher
American Physical Society
Research Projects
Organizational Units
Journal Issue
Abstract
Vacuum solutions to the Einstein equations can be viewed as the interplay between the geometry and the gravitational wave energy content. The constraints on initial data reflect this interaction. We assume we are looking at cosmological solutions to the Einstein equations so we assume that the 3-space is compact, without boundary. In this article we investigate, using both analytic and numerical techniques, what happens when the extrinsic curvature is increased while the background geometry is held fixed. This is equivalent to trying to magnify the local gravitational wave kinetic energy on an unchanged background. We find that the physical intrinsic curvature does not blow up. Rather the local volume of space expands to accommodate this attempt to increase the kinetic energy.
Description
Keywords
Trapped surfaces , Vacuum spacetimes , Symmetric tensors
Citation
Bai, S. and Ó Murchadha, N. (2012) 'Scaling up the extrinsic curvature in gravitational initial data', Physical Review D, 85(4), 044028 (9pp). doi: 10.1103/PhysRevD.85.044028
Copyright
© 2012, American Physical Society