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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.

Geometry, Differential. --- Cosmology. --- Differential Geometry. --- Equacions de camp d'Einstein --- Relativitat general (Física) --- Astronomy --- Deism --- Metaphysics --- Differential geometry --- Relativitat (Física) --- Ones gravitacionals --- Gravetat quàntica --- Supergravetat --- Equacións del camp gravitacional d'Einstein --- Llei de la gravitació d'Einstein --- Equacions diferencials --- Teoria de camps (Física) --- General relativity (Physics)

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Gravitational fields --- Gravity --- Mathematics. --- Mathematical models. --- Measurement. --- Gravimetry --- Geophysics --- Mechanics --- Pendulum --- Fields, Gravitational --- Field theory (Physics) --- Gravitation --- Gravitació --- Models matemàtics --- Models (Matemàtica) --- Models experimentals --- Models teòrics --- Mètodes de simulació --- Anàlisi de sistemes --- Mètode de Montecarlo --- Modelització multiescala --- Models economètrics --- Models lineals (Estadística) --- Models multinivell (Estadística) --- Models no lineals (Estadística) --- Programació (Ordinadors) --- Simulació per ordinador --- Teoria de màquines --- Models biològics --- Teoria de camps (Física) --- Ambients de microgravetat --- Densitat de la Terra --- Èter (Espai) --- Gravetat quàntica --- Ingravidesa --- Ones gravitacionals

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Elementary particles --- Quantum mechanics. Quantumfield theory --- Nuclear physics --- Particles (Nuclear physics) --- Gravitation --- General relativity (Physics) --- Quantum gravity --- Cosmology --- Physique nucléaire --- Particules (Physique nucléaire) --- Relativité générale (Physique) --- Gravité quantique --- Cosmologie --- Periodicals. --- Periodicals --- Périodiques --- Gravitation. --- Nuclear physics. --- Quantum gravity. --- Gravity, Quantum --- Elementary particles (Physics) --- High energy physics --- Nuclear particles --- Nucleons --- Atomic nuclei --- Atoms, Nuclei of --- Nucleus of the atom --- Relativistic theory of gravitation --- Relativity theory, General --- Quantum theory --- Physics --- Field theory (Physics) --- Matter --- Antigravity --- Centrifugal force --- Relativity (Physics) --- Properties --- Física nuclear --- Partícules (Física nuclear) --- Gravetat quàntica

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Integrals de Feynman --- Teoria quàntica --- Dinàmica quàntica --- Física quàntica --- Mecànica quàntica --- Teoria dels quanta --- Teoria dels quàntums --- Dinàmica --- Física --- Mecànica de matrius --- Causalitat (Física) --- Conversions internes (Física nuclear) --- Cosmologia quàntica --- Efecte Raman --- Electrodinàmica quàntica --- Entrellaçament quàntic --- Gravetat quàntica --- Integrals de camí --- Nivells d'energia (Mecànica quàntica) --- Operador de Schrödinger --- Òptica quàntica --- Pertorbació (Dinàmica quàntica) --- Quantització geomètrica --- Quasipartícules (Física) --- Química quàntica --- Relacions de dispersió --- Renormalització (Física) --- Supergravetat --- Teoria de banda d'energia dels sòlids --- Teoria quàntica relativista --- Dinàmica molecular --- Radiació --- Termodinàmica --- Feynman integrals. --- Gabor transforms. --- Quantum theory. --- Transforms, Gabor --- Fourier transformations --- Quantum dynamics --- Quantum mechanics --- Quantum physics --- Physics --- Mechanics --- Thermodynamics --- Feynman diagrams --- Multiple integrals

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Feynman integrals. --- Gabor transforms. --- Quantum theory. --- Transforms, Gabor --- Fourier transformations --- Quantum dynamics --- Quantum mechanics --- Quantum physics --- Physics --- Mechanics --- Thermodynamics --- Feynman diagrams --- Multiple integrals --- Integrals de Feynman --- Teoria quàntica --- Dinàmica quàntica --- Física quàntica --- Mecànica quàntica --- Teoria dels quanta --- Teoria dels quàntums --- Dinàmica --- Física --- Mecànica de matrius --- Causalitat (Física) --- Conversions internes (Física nuclear) --- Cosmologia quàntica --- Efecte Raman --- Electrodinàmica quàntica --- Entrellaçament quàntic --- Gravetat quàntica --- Integrals de camí --- Nivells d'energia (Mecànica quàntica) --- Operador de Schrödinger --- Òptica quàntica --- Pertorbació (Dinàmica quàntica) --- Quantització geomètrica --- Quasipartícules (Física) --- Química quàntica --- Relacions de dispersió --- Renormalització (Física) --- Supergravetat --- Teoria de banda d'energia dels sòlids --- Teoria quàntica relativista --- Dinàmica molecular --- Radiació --- Termodinàmica