GRAVITATIONAL WAVES IN ALTERNATIVE THEORIES OF GRAVITY

By K. GIUND

CONTENTS PART I: FOUNDATIONS CHAPTER 1 FUNDAMENTAL THEORY OF GRAVITY FROM NEWTONIAN GRAVITY TO EINSTEIN’S GENERAL RELATIVITY GENERAL RELATIVITY IN A NUTSHELL ALTERNATIVE THEORIES OF GRAVITY SCALAR-TENSOR THEORIES MASSIVE GRAVITON THEORIES AND LORENTZ VIOLATION PARAMETRIZED POST-NEWTONIAN THEORY AS A POWERFUL TOOL CHAPTER 2 TESTS OF GRAVITATIONAL THEORIES THE CLASSICAL AND SEP TESTS THE CLASSICAL TESTS TESTS OF THE STRONG EQUIVALENCE PRINCIPLE GRAVITATIONAL-WAVE TESTS SPEED OF GRAVITATIONAL WAVES POLARIZATION OF GRAVITATIONAL WAVES GRAVITATIONAL RADIATION BACK-REACTION OTHER TESTS AND SUMMARIZING THE EXPERIMENTAL RESULTS CHAPTER 3 GRAVITATIONAL WAVES: SOURCES AND DETECTION GENERATION AND PROPAGATION SOURCES OF GRAVITATIONAL WAVES COMPACT BINARY SYSTEMS AND PROSPECTS FOR DETECTION DETECTION AND DATA ANALYSIS BASICS OF INTERFEROMETER DETECTORS INTERFEROMETRIC DETECTION ON THE EARTH SPACE-BASED DETECTORS PULSAR TIMING ARRAYS DATA ANALYSIS PART II: METHODS CHAPTER 4 PARAMETRIZED POST-NEWTONIAN THEORY THE NEWTONIAN LIMIT POST-NEWTONIAN BOOKKEEPING THE MOST GENERAL POST-NEWTONIAN METRIC THE PPN PARAMETERS AND THEIR SIGNI?CANCE POST-NEWTONIAN LIMITS OF ALTERNATIVE METRIC THEORIES EQUATIONS OF MOTION IN THE PPN FORMALISM CHAPTER 5 DIRE: DIRECT INTEGRATION OF RELAXED EINSTEIN EQUATIONS FOUNDATIONS OF DIRE THE RELAXED EINSTEIN EQUATIONS SOURCE, NEAR ZONE AND RADIATION ZONE ITERATION OF THE RELAXED EINSTEIN EQUATIONS FORMAL STRUCTURE OF NEAR ZONE FIELDS AND EXPANSION TO HIGHER PN ORDERS CONVERSION TO THE BARYON DENSITY ??AND EQUATIONS OF MOTION IN TERMS OF POTENTIALS TWO-BODY EQUATIONS OF MOTION RELATIVE EQUATIONS OF MOTION CHAPTER 6 PARAMETER ESTIMATION GRAVITATIONAL-WAVE DATA ANALYSIS MATCHED FILTERING: THEORY MATCHED FILTERING TO PARAMETER ESTIMATION: AN EXAMPLE PART III: MOTION AND GRAVITATIONAL RADIATION IN SCALAR-TENSOR GRAVITY CHAPTER 7 INTRODUCTION AND BASICS INTRODUCTION AN OVERVIEW FOUNDATIONS: RELAXED FIELD EQUATIONS FIELD EQUATIONS AND EQUATIONS OF MOTION RELAXED ?ELD EQUATIONS IN SCALAR-TENSOR GRAVITY CHAPTER 8 FORMAL STRUCTURE AND EXPANSION OF THE NEAR-ZONE FIELDS FORMAL STRUCTURE OF THE NEAR-ZONE FIELDS EXPANSION OF NEAR-ZONE FIELDS TO 25PN ORDER NEWTONIAN, 1PN AND 15PN SOLUTIONS 2PN AND 25PN SOLUTIONS CHAPTER 9 MATTER SOURCE AND EQUATIONS OF MOTION ENERGY-MOMENTUM TENSOR AND THE CONSERVED DENSITY EQUATIONS OF MOTION IN TERMS OF POTENTIALS CHAPTER 10 EQUATIONS OF MOTION FOR TWO COMPACT OBJECTS 101 CONSERVATIVE 1PN AND 2PN TERMS 102 RADIATION-REACTION TERMS 103 RELATIVE EQUATION OF MOTION 104 ENERGY LOSS RATE CHAPTER 11 DISCUSSION 111 GENERAL REMARKS AND COMPARISON WITH OTHER RESULTS 112 WEAKLY SELF-GRAVITATING SYSTEMS 113 BINARY BLACK HOLES 114 BLACK-HOLE NEUTRON-STAR BINARY SYSTEMS PART IV: CONSTRAINING LORENTZ-VIOLATING, MODI?ED DISPERSION RELATIONS WITH GRAVITATIONAL WAVES CHAPTER 12 INTRODUCTION AND FOUNDATIONS 121 INTRODUCTION 122 AN OVERVIEW CHAPTER 13 GRAVITATIONAL WAVES IN LORENTZ-VIOLATING GRAVITY 131 THE SPEED OF GRAVITATIONAL WAVES 1311 MASSIVE GRAVITON THEORIES 1312 LORENTZ-VIOLATING THEORIES 132 PROPAGATION OF GRAVITATIONAL WAVES 133 MODI?ED WAVEFORM IN THE STATIONARY PHASE APPROXIMATION 134 CONNECTION WITH THE PPE FRAMEWORK CHAPTER 14 PARAMETER ESTIMATION IN LORENTZ-VIOLATING GRAVITY 141 FISHER-MATRIX PARAMETER ESTIMATION METHOD 142 DETECTOR SPECTRAL NOISE DENSITIES 143 RESULTS 144 CONCLUSIONS AND DISCUSSION