Einstein Equations: Local Energy, Self-Force, and Fields in General Relativity

Part I. Main Lectures.- Introduction to the Wang-Yau quasi-local energy.- Gravitational self-force in the Schwarzschild spacetime.- Geometry and analysis in black hole spacetimes.- Study of fundamental laws with Antimatter.- Part II. Proceedings.- Quantum Ergosphere and Brick Wall.- Geodesic structure and linear instability of some wormholes.- New trends in the general relativistic Poynting-Robertson effect modeling.- Brief Overview of Numerical Relativity.- Length-contraction in curved spacetime.- Exact solutions of Einstein-Maxwell(-dilation) equations with discrete translational symmetry.- Exact solutions of the Einstein equations for an infinite slab with constant energy density.- Emergence of classicality from an inhomogeneous universe.

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• Geometria diferencial e riemaniana
• Física relativística
• Cosmologia e o Universo

Domoschool general relativity;General relativity math physics;Einstein equations general relativity;Local energy general relativity;Black hole space time;Black hole spacetimes;Antimatter gravity;Gravity self-force;Quantum ergosphere;Geodesic structure wormholes;Poynting-Robertson effect modeling;Numerical relativity;Length-contraction curved spacetime