3 papers
gr-qc2019
Conformal Killing Initial Data
Alfonso García-Parrado, Igor Khavkine
We find necessary and sufficient conditions ensuring that the vacuum development of an initial data set of the Einstein's field equations admits a conformal Killing vector. We refe…
gr-qc2018
Gravitational radiation and the evolution of gravitational collapse in cylindrical symmetry
Alfonso García-Parrado, Filipe C. Mena
Using the Sparling form and a geometric construction adapted to spacetimes with a 2-dimensional isometry group, we analyse a quasi-local measure of gravitational energy. We then st…
gr-qc2018
Type D conformal initial data
Alfonso García-Parrado
For a vacuum initial data set of the Einstein field equations it is possible to carry out a conformal rescaling or conformal compactification of the data giving rise to an initial…