Consistency of dust solutions with div H=0
Roy Maartens, William Lesame, George Ellis
Abstract
One of the necessary covariant conditions for gravitational radiation is the vanishing of the divergence of the magnetic Weyl tensor Hab, while Hab itself is nonzero. We complete a recent analysis by showing that in irrotational dust spacetimes, the condition div H=0 evolves consistently in the exact nonlinear theory.
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