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

This volume guides early-career researchers through recent breakthroughs in mathematics and physics as related to general relativity. Chapters are based on courses and lectures given at the July 2019 Domoschool, International Alpine School in Mathematics and Physics, held in Domodossola, Italy, which was titled 'Einstein Equations: Physical and Mathematical Aspects of General Relativity'. Structured in two parts, the first features four courses from prominent experts on topics such as local energy in general relativity, geometry and analysis in black hole spacetimes, and antimatter gravity. The second part features a variety of papers based on talks given at the summer school, including topics like:

• Quantum ergosphere
• General relativistic Poynting-Robertson effect modelling
• Numerical relativity
• Length-contraction in curved spacetime
• Classicality from an inhomogeneous universe

Einstein Equations: Local Energy, Self-Force, and Fields in General Relativity will be a valuable resource for students and researchers in mathematics and physicists interested in exploring how their disciplines connect to general relativity.

Alexander Kamenshchik is a Full Professor at the Department of Physics and Astronomy at the University of Bologna. His research interests regard Theoretical and Mathematical Physics and involve Classical and Quantum Cosmology, unification models for dark matter and dark energy, Tachyonic models, initial conditions in Quantum Cosmology, Mathematical Methods for Perturbative Cosmology. He is author of more than 200 scientific articles. In 2017 he was awarded by the Russian Academy of Sciences with the A.A. Friedmann Prize for the cycle of works 'New directions in cosmology of the early and modern Universe'.