Einstein Equations: Physical and Mathematical Aspects of General Relativity

Four Lectures on Asymptotically Flat Riemannian Manifolds.- Lectures on Linear Stability of Rotating Black Holes.- The Bianchi Classication of the Three-Dimensional Lie Algebras and Homogeneous Cosmologies and the Mixmaster Universe.- The Physics of LIGO-Virgo.- Generation of Initial Data for General-Relativistic Simulations of Charged Black Holes.- BMS Symmetries and Holography: An Introductory Overview.- Relativity of Observer Splitting Formalism and Some Astrophysical Applications.- Some Remarks on a New Exotic Spacetime for Time Travel by Free Fall.- Schwarzschild Spacetime Under Generalised Gullstrand-Painlevé Slicing.- Crystal Spacetimes with Discrete Translational Symmetry.- Electrogeodesics and Extremal Horizons in Kerr-Newman (anti-)de Sitter.- Hearing the Nature of Compact Objects.- Minisuperspace Quantisation via Conditional Symmetries.