Gravity where do we stand? /
This book presents an overview of the current understanding of gravitation, with a focus on the current efforts to test its theories, especially general relativity. It shows how the quest for a deeper understanding, which would possibly incorporate gravity in the quantum realm, is more than ever an...
| Other Authors: | Peron, Roberto,, Colpi, Monica,, Gorini, V. 1940-, Moschella, Ugo,, SpringerLink (Online service) |
|---|---|
| Format: | eBook |
| Language: | English |
| Published: |
Cham :
Springer,
[2015]
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| Physical Description: |
1 online resource (xiv, 484 pages) : illustrations (some color) |
| Subjects: |
Table of Contents:
- In Memoriam; Preface; Contents; Contributors; Introduction; Part I Foundations and Solar System Tests; Gravity: Newtonian, Post-Newtonian, and General Relativistic; 1 Introduction; 2 Newtonian Gravity; 2.1 The Equations of Newtonian Gravity; 2.2 Spherical and Nonspherical Bodies; 2.3 Motion of Extended Fluid Bodies; 2.4 Newtonian Orbital Dynamics; 2.5 Osculating Orbit Elements and the Perturbed Kepler Problem; 2.6 Non-Keplerian Behavior: Worked Examples; 3 General Relativity; 3.1 Mathematics of Curved Space-Time; 3.2 Physics in Curved Spacetime; 3.3 Einstein Field Equations.
- 4 Post-Minkowskian and Post-Newtonian Theory4.1 Landau-Lifshitz Formulation of the Field Equations; 4.2 The Relaxed Einstein Equations; 4.3 Solution of the Wave Equation; 4.4 Iteration of the Relaxed Field Equations; 5 Post-Newtonian Theory; 5.1 General Structure of the Fields; 5.2 The Post-Newtonian Limit of General Relativity; 5.3 Non-Newtonian Behavior: Worked Examples; 5.4 The Parametrized Post-Newtonian Formalism; 5.5 Gravitational Radiation Reaction; 6 Far-zone Fields and Gravitational Radiation; 6.1 The Quadrupole Formula; 6.2 Energy Flux and Inspiraling Compact Binaries; References.
- The Newtonian Gravity and Some of Its Classical Tests1 Introduction; 2 Historical Part; 2.1 Galilei and the Universality of the Free Fall; 3 Experimental Gravitation; 3.1 Techniques of Signals Detection; 3.1.1 Mechanical Oscillator; 3.1.2 Pickup and Actuation Systems; 3.1.3 Electrical Lowering of the Frequency of the Mechanical Oscillator; 3.1.4 Electrical Variation of the Equilibrium Conditions of the Capacitive Bridge; 3.1.5 Electromechanical Actuator; 3.1.6 Electromechanical Detection System; 3.1.7 Signal Level; 3.1.8 Brownian Noise Associated with the Harmonic Oscillator.
- 3.1.9 Preamplifier Noise3.1.10 Total System Noise; 3.2 Techniques to Circumvent the Noise; 3.2.1 Choice of the Laboratory; 3.2.2 Transfer of Signal in a Frequency Range Where Noise Is Lower; 3.2.3 Suspension Systems and Mechanical Insulation; 3.2.4 Cryogenic Techniques; 3.2.5 Low-Noise Amplifiers; 3.2.6 Common Mode Rejection (CMR); 3.2.7 Quantum Nondemolition and Back-Action Evading; 3.2.8 Facility for Micro- and Pico-gravity Experiments; 3.2.9 Ballooning Facility for Microgravity (GiZero); 4 Calibration of the Apparatus for Measurements of Gravitation and Acceleration.
- 4.1 Ground Testing and Calibration4.2 Measurement of Transducer Factor and Linearity; 4.3 Measurement of the Electromechanical Actuation Factor; 4.4 Measurement of the Accelerometer Transfer Function (Resonance Frequency and Mechanical Quality Factor); 4.5 Measurement of the Intrinsic Noise of the System; 4.6 Measurement of the ISA Thermal Stability; 5 Test of the WEP-GReAT; 5.1 Generality of the GReAT Experiment; 5.2 Intrinsic Noise of the Differential Accelerometer; 5.3 Damping of the Transient Induced by the Release of the Experiment; 5.4 Common-Mode Rejection; 5.5 Experiment Error Budget.