Outline of the Lectures

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 191316

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 frames velocity
• Local Lorentz Invariance (LLI)
• In a local freely falling frame, all physics is
  independent of frames location
• Local Position Invariance (LPI)

14
W