Conformal ``thin sandwich'' data for the initial-value problem of general relativity
James W. York,
Abstract
The initial-value problem is posed by giving a conformal three-metric on each of two nearby spacelike hypersurfaces, their proper-time separation up to a multiplier to be determined, and the mean (extrinsic) curvature of one slice. The resulting equations have the same elliptic form as does the one-hypersurface formulation. The metrical roots of this form are revealed by a conformal ``thin sandwich'' viewpoint coupled with the transformation properties of the lapse function.
Create a lesson
Related papers
An exact rotating black hole solution in Palatini Kalb-Ramond gravity
A. A. Araújo Filho
Internal translation gauging and local gravitational energy in Weyl gauge theory
Michael Hobson, Will Barker, Anthony Lasenby
Bessel-Hagen currents, reducibility charges, and local gravitational energy
Michael Hobson, Will Barker, Anthony Lasenby
Relativistic dynamical friction in Kerr-Schild coordinates
Zipeng Wang, Francesca Chadha-Day, Katy Clough et al.
The School on Gravity: from motion to commotion
Vitor Cardoso, Jose María Ezquiaga, Julio Parra-Martinez et al.
Binary Ellis-Bronnikov wormholes in 3+1 numerical relativity: mergers, fly-bys and gravitational waves
Nikita M. Shirokov, Ilya Nachevsky