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Outline of the Lectures

Outline of the Lectures. Lecture 1: The Einstein Equivalence Principle Lecture 2: Post-Newtonian Limit of GR Lecture 3: The Parametrized Post-Newtonian Framework Lecture 4: Tests of the PPN Parameters. Outline of the Lectures. Lecture 1: The Einstein Equivalence Principle

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Outline of the Lectures

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  1. Outline of the Lectures Lecture 1: The Einstein Equivalence Principle Lecture 2: Post-Newtonian Limit of GR Lecture 3: The Parametrized Post-Newtonian Framework Lecture 4: Tests of the PPN Parameters

  2. Outline of the Lectures • Lecture 1: The Einstein Equivalence Principle • Lecture 2: Post-Newtonian Limit of GR • Lecture 3: The Parametrized Post-Newtonian Framework • Parametrizing the PN metric • Conservation laws • Equations of motion - photons • Equations of motion - massive bodies • Equations of motion - gyroscopes • Locally measured gravitation constant G • The Strong Equivalence Principle • Lecture 4: Tests of the PPN Parameters

  3. The PN metric in GR

  4. Effect of a PN gauge change

  5. Parametrizing the post-Newtonian metric

  6. Effect of a Boost

  7. The parametrized post-Newtonian (PPN) framework

  8. PPN Parameters and their Significance

  9. PPN n-body equation of motion

  10. Newtonian” part of the n-body acceleration

  11. PPN n-body equation of motion

  12. The problem of motion • Geodesic motion • 1916 - Droste, De Sitter - n-body equations of motion • 1918 - Lense & Thirring - motion in field of spinning body • 1937 - Levi-Civita - center-of-mass acceleration • 1938 - Eddington & Clark - no acceleration • 1937 - EIH paper & Robertson application • 1960s - Fock & Chandrasekhar - PN approximation • 1967 - the Nordtvedt effect& the PPN framework • 1974 - numerical relativity - BH head-on collision • 1974 - discovery of PSR 1913+16

  13. The Strong Equivalence Principle (SEP) • All bodies fall with the same acceleration • Weak Equivalence Principle (WEP) • In a local freely falling frame, all physics is independent of frame’s velocity • Local Lorentz Invariance (LLI) • In a local freely falling frame, all physics is independent of frame’s location • Local Position Invariance (LPI)

  14. W

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