Outline of the Lectures

Slides:



Advertisements
Similar presentations
Does Birkhoffs law hold in MOND?. Birkhoffs Theorem Any spherically symmetric solution of the Einstein field equations in vacuum must be stationary and.
Advertisements

Arc Length and Curvature
Jun Meng. contents 1.Einstein equations from the holographic principle 2.f(R) gravity from the holographic principle 3.Maxwell equations from the holographic.
The Unification of Gravity and E&M via Kaluza-Klein Theory Chad A. Middleton Mesa State College September 16, 2010 Th. Kaluza, Sitzungsber. Preuss. Akad.
Lecture Three. Michelson-Morley Experiment Principle of Relativity Laws of mechanics are the same in all inertial frames of reference. namely Laws of.
Outline of the Lectures Lecture 1: The Einstein Equivalence Principle Lecture 2: Post-Newtonian Limit of GR Lecture 3: The Parametrized Post-Newtonian.
Modified Gravity Takeshi Chiba Nihon University. Why?
Stanford University Department of Aeronautics and Astronautics.
PHY 1371Dr. Jie Zou1 Chapter 39 Relativity. PHY 1371Dr. Jie Zou2 Outline The principle of Galilean relativity Galilean space-time transformation equations.
Lecture Two. Historical Background of Special Relativity.
02/17/2014PHY 712 Spring Lecture 141 PHY 712 Electrodynamics 10-10:50 AM MWF Olin 107 Plan for Lecture 14: Start reading Chapter 6 1.Maxwell’s.
02/16/2015PHY 712 Spring Lecture 141 PHY 712 Electrodynamics 9-9:50 AM MWF Olin 103 Plan for Lecture 14: Start reading Chapter 6 1.Maxwell’s full.
02/19/2014PHY 712 Spring Lecture 151 PHY 712 Electrodynamics 10-10:50 AM MWF Olin 107 Plan for Lecture 15: Finish reading Chapter 6 1.Some details.
02/18/2015PHY 712 Spring Lecture 151 PHY 712 Electrodynamics 9-9:50 AM MWF Olin 103 Plan for Lecture 15: Finish reading Chapter 6 1.Some details.
Based on Phys.Rev.D84:043515,2011,arXiv: &JCAP01(2012)016 Phys.Rev.D84:043515,2011,arXiv: &JCAP01(2012)016.
GENERAL PRINCIPLES OF BRANE KINEMATICS AND DYNAMICS Introduction Strings, branes, geometric principle, background independence Brane space M (brane kinematics)
Cosmological post-Newtonian Approximation compared with Perturbation Theory J. Hwang KNU/KIAS
Cosmological Post-Newtonian Approximation with Dark Energy J. Hwang and H. Noh
Gravitation: Theories & Experiments Clifford Will James S. McDonnell Professor of Physics McDonnell Center for the Space Sciences Department of Physics.
PARAMETRIC FUNCTIONS Today we will learn about parametric functions in the plane and analyze them using derivatives and integrals.
Geodetic VLBI Lecture 2 18 October Lecture plan 1. From measurement of space and time to measurement of space-time 2. Elements of the Special and.
A NONCOMMUTATIVE FRIEDMAN COSMOLOGICAL MODEL. 1.Introduction 2.Structure of the model 3.Closed Friedman universe – Geometry and matter 4.Singularities.
Frédéric Henry-Couannier CPPM/RENOIR Marseille The Dark Side of Gravity and our Universe.
Some Cosmological Consequences of Negative Gravitational Field Energy W. J. Wilson Department of Engineering and Physics University of Central Oklahoma.
And STRONG-FIELD GRAVITY University of Arizona DIMITRIOS PSALTIS BLACK HOLES.
How generalized Minkowski four-force leads to scalar-tensor gravity György Szondy Logic, Relativity and Beyond 2nd International Conference August 9-13.
Crash Course of Relativistic Astrometry Four Dimensional Spacetime Poincare Transformation Time Dilatation Wavelength Shift Gravitational Deflection of.
Outline of the Lectures Lecture 1: The Einstein Equivalence Principle Lecture 2: Post-Newtonian Limit of GR Lecture 3: The Parametrized Post-Newtonian.
Motions of Self-Gravitating bodies to the Second Post- Newtonian Order of General Relativity.
Spin-orbit Gravitational Radiation Reaction for Two-body Systems Jing Zeng Washington University Gravity Group November
Classical Electrodynamics Jingbo Zhang Harbin Institute of Technology.
PTA and GW detection --- Lecture K. J. Lee ( 李柯伽 ) Max-Planck Institute for Radio astronomy Aug
Time Delay and Light Deflection by a Moving Body Surrounded by a Refractive Medium Adrian Corman and Sergei Kopeikin Department of Physics and Astronomy.
Announcements Reading quiz shifted to tomorrow 9/12 Lectures through Monday posted Homework solutions 1, 2a, 2b posted.
University of Arizona D IMITRIOS P SALTIS Tests of General Relativity with the SKA.
Wednesday, Nov. 15, 2006PHYS 3446, Fall 2006 Jae Yu 1 PHYS 3446 – Lecture #19 Wednesday, Nov. 15, 2006 Dr. Jae Yu 1.Symmetries Local gauge symmetry Gauge.
Anisotropic Mechanics J.M. Romero, V. Cuesta, J.A. Garcia, and J. D. Vergara Instituto de Ciencias Nucleares, UNAM, Mexico.
A TEST FOR THE LOCAL INTRINSIC LORENTZ SYMMETRY
PHYS 3446 – Lecture #23 Symmetries Why do we care about the symmetry?
Econometric specification of stochastic discount factor models
Einstein’s Zurich Notebook
Fundamental principles of particle physics
Parameterized Newtonian Theory
A Beautiful MOND ? G B Tupper U C T Beyond 2010.
Indirect Argument: Contradiction and Contraposition
Jupiter Light-Deflection Experiment and Its Results
By the end of Week : You would learn how to solve many problems involving limits, derivatives and integrals of vector-valued functions and questions.
How to interpret the LIGO signal on the back of an envelope
Physics I Class 18 Newton’s Theory of Gravitation.
Quantized K
…understanding momentum in spacetime
Brackets, Factors and Equations
By the end of Week 3: You would learn how to solve many problems involving lines/planes and manipulate with different coordinate systems. These are.
Chapter IV Gauge Field Lecture 1 Books Recommended:
Notes on non-minimally derivative coupling
Chapter IV Gauge Field Lecture 3 Books Recommended:
PHYS 3446 – Lecture #19 Symmetries Wednesday, Nov. 15, 2006 Dr. Jae Yu
Perturbation Theory Lecture 5.
Normal gravity field in relativistic geodesy
Maxwell’s full equations; effects of time varying fields and sources
Finish reading Chapter 6
Rewriting Equations Equivalent Equations.
This presentation uses a free template provided by FPPT.com Transformations of the electric and magnet field Rida khan.
Gauge theory and gravity
Perturbation Theory Lecture 5.
Maxwell’s full equations; effects of time varying fields and sources
Lectures State-Space Analysis of LTIC
Particle Physics and Cosmology Group
Finish reading Chapter 6
Physics I Class 17 Newton’s Theory of Gravitation.
Presentation transcript:

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 Lecture 2: Post-Newtonian Limit of GR Review of Newtonian gravity Post-Newtonian theory PN limit of GR: a derivation Gauge transformations PN gauges Lorentz boosts Lecture 3: The Parametrized Post-Newtonian Framework Lecture 4: Tests of the PPN Parameters

Exercises Using the equation of continuity, prove:

Exercises: Consequences of Prove the following, and give a physical interpretation to the first 4 integrals.

PN potentials in GR

The PN metric in GR

Effect of a PN gauge change

PN potentials in general gauges Properties of X

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