Gravity and Gravitational Radiation
  • v0.1
  • Contents

    Mathematics for GR

    • The topology of \(\mathbb{R}^n\)
    • Mappings
    • Real Analysis
    • Manifolds
    • Calculus on manifolds
    • Differential forms
    • Connections for Riemann Manifolds

    General Relativity

    • The physics of gravity
    • Gravitational radiation
    • The energy-momentum tensor
    • Physics in curved spacetimes
    • Static models with spherical symmetry
    • The Schwarzchild metric
    • Models of spherical stars
    • Black Holes

    Gravitational wave astronomy

    • Conventions and terminology
    • Sources
    • Multimessenger observations

    Extras

    • Bibliography
    • Glossary

    Mathematics for GR

    • The topology of \(\mathbb{R}^n\)
    • Mappings
    • Real Analysis
    • Manifolds
    • Calculus on manifolds
    • Differential forms
    • Connections for Riemann Manifolds

    General Relativity

    • The physics of gravity
    • Gravitational radiation
    • The energy-momentum tensor
    • Physics in curved spacetimes
    • Static models with spherical symmetry
    • The Schwarzchild metric
    • Models of spherical stars
    • Black Holes

    Gravitational wave astronomy

    • Conventions and terminology
    • Sources
    • Multimessenger observations

    Extras

    • Bibliography
    • Glossary

    Index

    C | F | H | I | L | M | N | O

    C

    • characteristic squared amplitude
    • congruence
    • coordinates

    F

    • faithful representation

    H

    • Hausdorff space

    I

    • image
    • inverse
    • inverse-image

    L

    • ligo

    M

    • manifold
    • many-to-one

    N

    • neighbourhood

    O

    • one-to-one

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    © Copyright 2020, Daniel Williams.
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