Report on GRG18, Session A3, Mathematical Studies of the Field Equations

Abstract

In this report I will give a summary of some of the main topics covered in Session A3, mathematical studies of the field equations, at GRG18, Sydney. Unfortunately, due to length constraints, some of the topics covered at the session will be very briefly mentioned or left out altogether. The summary is mainly based on extended abstracts submitted by the speakers and some of those who presented posters at the session. I would like to thank all participants for their contributions and help with this summary.

12 pages

References in corpus (13)

• Calibration of Moving Puncture Simulations
• A Higher Dimensional Stationary Rotating Black Hole Must be Axisymmetric
• Geometry and Regularity of Moving Punctures
• Well-posed initial-boundary value problem for the harmonic Einstein equations using energy estimates
• Fluid observers and tilting cosmology
• Self-Renormalization of the Classical Quasilocal Energy
• The Newtonian limit for perfect fluids
• Post-Newtonian expansions for perfect fluids
• Kinematic and Weyl singularities
• Odd-parity perturbations of self-similar Vaidya spacetime
• The cosmological billiard attractor
• On the well posedness of Robinson Trautman Maxwell solutions
• Bounds for scalar waves on self-similar naked-singularity backgrounds