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Einstein equations : local energy, self-force, and fields in general relativity ; Domoschool 2019
- Author / Creator
- Conferences
- Domoschool (Conference) (2nd : 2019 : Domodossola, Italy)
- Available as
- Online
- Summary
-
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 20...
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.
Details
- Creator
- Sergio Luigi Cacciatori, Alexander Kamenshchik, editors
- Format
- Books
- Language
- English
- Contributors
- Publication
-
- Cham : Birkhäuser, 2023
- Physical Details
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- 1 online resource (261 pages)
- data file
- ISBNs
- 9783031218453, 3031218450, 3031218442, 9783031218446, 9783031218446
- OCLC
- on1373346090
- 3.3 Radial Part of the Perturbation -- 3.4 Computing the Scalar Field Along the Source World Line -- 3.5 Solutions of the Radial Homogeneous Equation -- 3.5.1 Heun Confluent (Exact) Solutions -- 3.5.2 PN Solutions -- 3.5.3 MST or Hypergeometric-Like Solutions -- 3.6 Analytical Versus Numerical Results -- 4 So Far So Good: A List of SF Accomplishments -- 5 Concluding Remarks -- References -- Geometry and Analysis in Black Hole Spacetimes -- Contents -- 1 Introduction -- 2 Background -- 2.1 Minkowski Space -- 2.2 Lorentzian Geometry and Causality -- 2.3 Conventions and Notation
- 2.4 Einstein Equation -- 2.5 The Cauchy Problem -- 2.6 Asymptotically Flat Data -- 2.7 Komar Integrals -- 3 Black Holes -- 3.1 The Schwarzschild Solution -- 3.1.1 Orbiting Null Geodesics -- 3.2 Black Hole Stability -- 3.3 The Kerr Metric -- 4 Spin Geometry -- 4.1 Spinors on Minkowski Space -- 4.2 Spinors on Spacetime -- 4.3 Fundamental Operators -- 4.4 Massless Spin-s Fields -- 4.5 Killing Spinors -- 4.6 Algebraically Special Spacetimes -- 4.6.1 Petrov Type D -- 4.7 Spacetimes Admitting a Killing Spinor -- 4.8 GHP Formalism -- 5 The Kerr Spacetime -- 5.1 Characterizations of Kerr
- 6 Monotonicity and Dispersion -- 6.1 Monotonicity for Null Geodesics -- 6.2 Dispersive Estimates for Fields -- 7 Symmetry Operators -- 7.1 Symmetry Operators for the Kerr Wave Equation -- 8 Outlook -- 8.1 Teukolsky -- 8.2 Stability for Linearized Gravity on Kerr -- 8.3 Nonlinear Stability for Schwarzschild -- 8.4 Nonlinear Stability for Kerr -- References -- Study of Fundamental Laws with Antimatter -- Contents -- 1 Introduction -- 2 Testing CPT -- 3 Testing the Weak Equivalence Principle -- 4 Anti-hydrogen at CERN -- 4.1 Confinement -- 4.2 Anti-hydrogen Beams -- 4.3 The Beginning of Anti-hydrogen Spectroscopy