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9 Best Relativity Courses for 2026: Special and General Relativity

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Institute for Pure & Applied Mathematics (IPAM)
Instability of Anti-de Sitter Spacetime for the Einstein-Scalar Field System

Explores the AdS instability conjecture in Einstein-scalar field systems, presenting a rigorous proof and discussing potential extensions to vacuum cases in general relativity.
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Gravitational Waveforms for Compact Binaries from 2nd-Order Self-Force Theory - Barry Wardell

Explore gravitational waveforms for compact binaries using second-order self-force theory. Gain insights into precision modeling for interpreting gravitational-wave events and searching for new physics in signals.
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Dual-Frame Generalized Harmonic Gauge on Hyperboloidal Slices - IPAM at UCLA

Explore advanced techniques in general relativity, focusing on including future null-infinity in computational domains for cosmic censorship studies and gravitational wave astronomy applications.
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Strong Cosmic Censorship Versus Λ - IPAM at UCLA

Explore the strong cosmic censorship conjecture in general relativity, its challenges with non-zero cosmological constant, and implications for black hole physics and determinism.
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Explore asymptotic flatness, positive mass theorem, and scalar curvature in static black hole uniqueness theorems with expert Carla Cederbaum.
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Static Black Hole Uniqueness Theorems - Lecture 2

Explore uniqueness theorems for static black holes, covering classical extensions, spacetime cross-sections, and proof techniques in this advanced mathematics lecture.
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Black Hole Thermodynamics - Lecture 3

Explore black hole thermodynamics, focusing on stationary black holes, their laws, and stability, with insights from General Relativity and expert Robert Wald.
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Some Geometric Properties of Spacetime - Lecture 3

Explore geometric properties of spacetime, including minimal hypersurfaces, stability, and boundary integrals. Gain insights into linear and nonlinear models in this advanced mathematics lecture.
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Some Geometric Properties of Spacetime - Lecture 2

Explore geometric properties of spacetime, including theorems on topology, dihedral angles, and scalar curvature, with insights on the positive mass theorem and Gauss-Bonnet theorem.
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Numerical Relativity: Mathematical Formulation - Lecture 1

Explore mathematical foundations of Numerical Relativity, essential for modeling gravitational waves from black hole mergers and other high-energy astrophysical phenomena.
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Introduction to Numerical Relativistic Hydrodynamics - Lecture 2

Explore advanced concepts in numerical relativistic hydrodynamics, focusing on mathematical formulations and computational techniques for modeling high-energy astrophysical phenomena.
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