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Hölscher, Patric: Gravitational Waves in Conformal Gravity. 2019
Inhalt
Abstract
Notation and Conventions
Introduction
Differential Geometry and Gravitation
Mathematical Setting for Spacetime
Differentiable Manifolds
Geometric Structure
Affine Structure
General Relativity
Levi-Civita Connection
Lovelock's Theorem
Einstein Field Equations
Newtonian Limit
Schwarzschild Solution
Kepler's Third Law
Gravitational Waves
Expansion of the Einstein Field Equations
Linearized Theory
Solution with a Source
Gravitational Waves from a Binary System
Binary Pulsars
Multipole Expansion
Gravitational Energy-Momentum Tensor
Gravitational Energy-Momentum Tensor: Geometric Approach
Gravitational Energy-Momentum Tensor: Field-Theoretical Approach
Radiated Energy
Late Inspiral of Compact Binaries
Landscape of Theories of Modified Gravity
Weyl Geometry
Scalar-Tensor Theory
Jordan Frame
Einstein Frame
Modified Newtonian Dynamics
Tensor-Vector-Scalar Gravity
Extra Dimensions
Massive Gravity
Higher Derivative Gravity
Gravitational Waves and Degrees of Freedom in Higher Derivative Gravity
f(R) Gravity
Constraints from the Speed of Gravitational Waves
Conformal Gravity Models
Weyl Transformations
Pure Conformal Gravity
Extended Conformal Gravity
Astrophysical Gravitational Waves in Conformal Gravity
Gravitational Waves from Inspiralling Compact Binaries in Conformal Gravity
Summary, Conclusion and Outlook
Acknowledgements
Differential Geometry
Curvature Tensors
Integration by Parts
Center-of-Mass Frame
Degrees of Freedom and Spin