Axially symmetric spacetimes: numerical and analytical perspectives
arXiv:1106.3106 · doi:10.1088/1742-6596/314/1/012015
Abstract
Some new aspects of axially symmetric spacetimes are discussed. These results open the door for future interplay between analytical and numerical studies. The new developments are based on the role of the total mass in axial symmetry. Finally, a list of relevant open problems is presented. These problems can be hopefully solved with an interaction between numerical and analytical insights.
To appear in the proceedings of the Spanish Relativity Meeting (ERE2010). Plenary Talk
References in corpus (15)
- Mass and angular-momentum inequalities for axi-symmetric initial data sets. II. Angular-momentum
- Area - Angular momentum inequality for axisymmetric black holes
- Mass and angular-momentum inequalities for axi-symmetric initial data sets I. Positivity of mass
- Constrained evolution in axisymmetry and the gravitational collapse of prolate Brill waves
- Mass, angular-momentum, and charge inequalities for axisymmetric initial data
- On critical collapse of gravitational waves
- A Dain Inequality with charge
- An axisymmetric generalized harmonic evolution code
- The inequality between mass and angular momentum for axially symmetric black holes
- Regularization of spherical and axisymmetric evolution codes in numerical relativity
- Extreme throat initial data set and horizon area--angular momentum inequality for axisymmetric black holes
- Horizon area--angular momentum inequality for a class of axially symmetric black holes
- On well-posedness, linear perturbations and mass conservation for axisymmetric Einstein equation
- Small deformations of extreme Kerr black hole initial data
- Linear perturbations for the vacuum axisymmetric Einstein equations