Gravitational Waves
By: I. Ciufolini (Editor), V. Gorini (Editor), U. Moschella (Editor)
Hardcover | 29 January 2001 | Edition Number 1
At a Glance
428 Pages
23.39 x 15.6 x 2.39
Hardcover
RRP $452.00
$319.90
29%OFF
or 4 interest-free payments of $79.97 with
 orÂAims to ship in 7 to 10 business days
With a wide range of contributions by leading scientists in the field, Gravitational Waves covers topics such as the basics of GWs, various advanced topics, GW detectors, astrophysics of GW sources, numerical applications, and several recent theoretical developments. The material is written at a level suitable for postgraduate students entering the field.
Industry Reviews
Preface | p. xiii |
Gravitational waves, theory and experiment (an overview) | p. 1 |
References | p. 9 |
Gravitational Waves, Sources and Detectors | p. 11 |
Synopsis | p. 13 |
Elements of gravitational waves | p. 15 |
Mathematics of linearized theory | p. 16 |
Using the TT gauge to understand gravitational waves | p. 17 |
Interaction of gravitational waves with detectors | p. 19 |
Analysis of beam detectors | p. 21 |
Ranging to spacecraft | p. 21 |
Pulsar timing | p. 22 |
Interferometry | p. 22 |
Exercises for chapter 2 | p. 22 |
Gravitational-wave detectors | p. 24 |
Gravitational-wave observables | p. 26 |
The physics of interferometers | p. 28 |
New interferometers and their capabilities | p. 32 |
The physics of resonant mass detectors | p. 34 |
New bar detectors and their capabilities | p. 37 |
A detector in space | p. 38 |
LISA's capabilities | p. 39 |
Gravitational and electromagnetic waves compared and contrasted | p. 41 |
Astrophysics of gravitational-wave sources | p. 43 |
Sources detectable from ground and from space | p. 43 |
Supernovae and gravitational collapse | p. 43 |
Binary stars | p. 44 |
Chirping binary systems | p. 44 |
Pulsars and other spinning neutron stars | p. 46 |
Random backgrounds | p. 48 |
The unexpected | p. 49 |
Waves and energy | p. 50 |
Variational principle for general relativity | p. 50 |
Variational principles and the energy in gravitational waves | p. 51 |
Gauge transformation and invariance | p. 52 |
Gravitational-wave action | p. 52 |
Practical applications of the Isaacson energy | p. 54 |
Curvature produced by waves | p. 55 |
Cosmological background of radiation | p. 55 |
Other approaches | p. 56 |
Exercises for chapter 5 | p. 56 |
Mass- and current-quadrupole radiation | p. 58 |
Expansion for the far field of a slow-motion source | p. 58 |
Application of the TT gauge to the mass quadrupole field | p. 60 |
The TT gauge transformations | p. 60 |
Quadrupole field in the TT gauge | p. 61 |
Radiation patterns related to the motion of sources | p. 62 |
Applications of the TT gauge to the current-quadrupole field | p. 64 |
The field at third order in slow-motion | p. 64 |
Separating the current quadrupole from the mass octupole | p. 65 |
A model system radiating current-quadrupole radiation | p. 67 |
Energy radiated in gravitational waves | p. 68 |
Mass-quadrupole radiation | p. 69 |
Current-quadrupole radiation | p. 69 |
Radiation in the Newtonian limit | p. 70 |
Source calculations | p. 71 |
Radiation from a binary system | p. 71 |
Corrections | p. 73 |
The r-modes | p. 73 |
Linear growth of the r-modes | p. 76 |
Nonlinear evolution of the star | p. 77 |
Detection of r-mode radiation | p. 79 |
Conclusion | p. 80 |
References | p. 81 |
Solutions to exercises | p. 84 |
Gravitational-wave detectors | p. 89 |
Resonant detectors for gravitational waves and their bandwidth | p. 91 |
Sensitivity and bandwidth of resonant detectors | p. 91 |
Sensitivity for various GW signals | p. 95 |
Recent results obtained with the resonant detectors | p. 99 |
Discussion and conclusions | p. 101 |
References | p. 102 |
The Earth-based large interferometer Virgo and the Low Frequency Facility | p. 103 |
Introduction | p. 103 |
Interferometer principles and Virgo parameters | p. 104 |
The SA suspension and requirements on the control | p. 108 |
A few words about the Low Frequency Facility | p. 111 |
Conclusion | p. 112 |
References | p. 114 |
LISA: A proposed joint ESA-NASA gravitational-wave mission | p. 115 |
Description of the LISA mission | p. 115 |
Introduction | p. 115 |
Overall antenna and spacecraft design | p. 116 |
Optics and interferometry system | p. 121 |
Free mass sensors | p. 125 |
Micronewton thrusters | p. 129 |
Mission scenario | p. 131 |
Expected gravitational-wave results from LISA | p. 132 |
LISA sensitivity and galactic sources | p. 132 |
Origin of massive black holes | p. 136 |
Massive black holes in normal galaxies | p. 138 |
Structure formation and massive black hole coalescence | p. 141 |
Fundamental physics tests with LISA | p. 143 |
Future prospects | p. 146 |
Acknowledgments | p. 148 |
References | p. 148 |
Detection of scalar gravitational waves | p. 152 |
Introduction | p. 152 |
Testing theories of gravity | p. 154 |
Free vibrations of an elastic sphere | p. 154 |
Interaction of a metric GW with the sphere vibrational modes | p. 155 |
Measurements of the sphere vibrations and wave polarization states | p. 157 |
Gravitational wave radiation in the JBD theory | p. 159 |
Scalar and Tensor GWs in the JBD Theory | p. 160 |
Power emitted in GWs | p. 161 |
Power emitted in scalar GWs | p. 162 |
Scalar GWs | p. 164 |
Detectability of the scalar GWs | p. 165 |
The hollow sphere | p. 168 |
Scalar-tensor cross sections | p. 170 |
Acknowledgments | p. 176 |
References | p. 176 |
The Stochastic Gravitational-Wave Background | p. 179 |
Generalities on the stochastic GW background | p. 181 |
Introduction | p. 181 |
Definitions | p. 184 |
[Omega subscript gw] (f) and the optimal SNR | p. 184 |
The characteristic amplitude | p. 187 |
The characteristic noise level | p. 189 |
The overlap reduction function | p. 191 |
Two interferometers | p. 193 |
Interferometer--bar | p. 196 |
Interferometer--sphere | p. 196 |
Achievable sensitivities to the SGWB | p. 197 |
Single detectors | p. 197 |
Two detectors | p. 199 |
More than two detectors | p. 204 |
Observational bounds | p. 207 |
Sources of SGWB | p. 211 |
Topological defects | p. 211 |
Strings | p. 214 |
Hybrid defects | p. 221 |
Inflation | p. 223 |
Classical picture | p. 224 |
Calculation of the spectrum | p. 225 |
String cosmology | p. 229 |
The model | p. 230 |
Observational bounds to the spectrum | p. 234 |
First-order phase transitions | p. 235 |
Astrophysical sources | p. 237 |
References | p. 239 |
Theoretical developments | p. 243 |
Infinite-dimensional symmetries in gravity | p. 245 |
Einstein theory | p. 245 |
Introduction | p. 245 |
Mathematical conventions | p. 245 |
The Einstein-Hilbert action | p. 247 |
Dimensional reduction D = 4 [right arrow] D = 3 | p. 247 |
Dimensional reduction D = 3 [right arrow] D = 2 | p. 248 |
Nonlinear [sigma]-models | p. 252 |
Ehlers Lagrangian as a nonlinear [sigma]-model | p. 254 |
The Ernst equation | p. 255 |
The Matzner-Misner Lagrangian as a nonlinear [sigma]-model | p. 255 |
Symmetries of nonlinear [sigma]-models | p. 257 |
Nonlinear realization of SL (2, R)[subscript E] | p. 257 |
Nonlinear realization of SL (2, R)[subscript MM] | p. 258 |
The Geroch group | p. 259 |
Action of SL (2, R)[subscript E], on [lambda], B[subscript 2] | p. 259 |
Action of SL (2, R)[subscript MM] on [lambda], B | p. 260 |
The affine Kac-Moody SL (2, R) algebra | p. 260 |
The linear system | p. 261 |
Solving Einstein's equations | p. 261 |
The linear system | p. 263 |
Derivation of the colliding plane metric by factorization | p. 265 |
Acknowledgments | p. 267 |
Further reading | p. 267 |
Gyroscopes and gravitational waves | p. 268 |
Introduction | p. 268 |
Splitting formalism and test particle motion: a short review | p. 269 |
The spacetime metric | p. 272 |
Searching for an operational frame | p. 274 |
Precession of a gyroscope in geodesic motion | p. 276 |
Conclusions | p. 278 |
References | p. 278 |
Elementary introduction to pre-big bang cosmology and to the relic graviton background | p. 280 |
Introduction | p. 280 |
Motivations: duality symmetry | p. 283 |
Kinematics: shrinking horizons | p. 289 |
Open problems and phenomenological consequences | p. 294 |
Cosmological perturbation theory | p. 297 |
Choice of the frame | p. 297 |
Choice of the gauge | p. 299 |
Normalization of the amplitude | p. 302 |
Computation of the spectrum | p. 304 |
The relic graviton background | p. 309 |
Conclusion | p. 316 |
Acknowledgments | p. 316 |
The string effective action | p. 317 |
Duality symmetry | p. 322 |
The string cosmology equations | p. 328 |
References | p. 333 |
Post-Newtonian computation of binary inspiral waveforms | p. 338 |
Introduction | p. 338 |
Summary of optimal signal filtering | p. 340 |
Newtonian binary polarization waveforms | p. 343 |
Newtonian orbital phase evolution | p. 346 |
Post-Newtonian wave generation | p. 349 |
Field equations | p. 349 |
Source moments | p. 350 |
Radiative moments | p. 352 |
Inspiral binary waveform | p. 354 |
References | p. 356 |
Numerical relativity | p. 359 |
Numerical relativity | p. 361 |
Overview | p. 361 |
Einstein equations for relativity | p. 363 |
Constraint equations | p. 365 |
Evolution equations | p. 367 |
Still newer formulations: towards a stable evolution system | p. 369 |
General relativistic hydrodynamics | p. 376 |
Boundary conditions | p. 378 |
Special difficulties with black holes | p. 379 |
Tools for analysing the numerical spacetimes | p. 382 |
Horizon finders | p. 382 |
Locating the apparent horizons | p. 383 |
Locating the event horizons | p. 385 |
Wave extraction | p. 386 |
Computational science, numerical relativity, and the 'Cactus' code | p. 388 |
The computational challenges of numerical relativity | p. 388 |
Cactus computational toolkit | p. 389 |
Adaptive mesh refinement | p. 391 |
Recent applications and progress | p. 392 |
Evolving pure gravitational waves | p. 392 |
Black holes | p. 394 |
Summary | p. 399 |
Acknowledgments | p. 400 |
Further reading | p. 400 |
Overviews/formalisms of numerical relativity | p. 400 |
Numerical techniques | p. 401 |
Gauge conditions | p. 401 |
Black hole initial data | p. 401 |
Black hole evolution | p. 401 |
Black hole excision | p. 402 |
Perturbation theory and waveform extraction | p. 402 |
Event and apparent horizons | p. 402 |
Pure gravitational waves | p. 403 |
Numerical codes | p. 403 |
References | p. 403 |
Index | p. 409 |
Table of Contents provided by Syndetics. All Rights Reserved. |
ISBN: 9780750307413
ISBN-10: 0750307412
Series: Studies in High Energy Physics, Cosmology and Gravitation
Published: 29th January 2001
Format: Hardcover
Language: English
Number of Pages: 428
Audience: Professional and Scholarly
Publisher: Taylor & Francis Ltd
Country of Publication: GB
Edition Number: 1
Dimensions (cm): 23.39 x 15.6 x 2.39
Weight (kg): 0.88
Shipping
Standard Shipping | Express Shipping | |
---|---|---|
Metro postcodes: | $9.99 | $14.95 |
Regional postcodes: | $9.99 | $14.95 |
Rural postcodes: | $9.99 | $14.95 |
How to return your order
At Booktopia, we offer hassle-free returns in accordance with our returns policy. If you wish to return an item, please get in touch with Booktopia Customer Care.
Additional postage charges may be applicable.
Defective items
If there is a problem with any of the items received for your order then the Booktopia Customer Care team is ready to assist you.
For more info please visit our Help Centre.
You Can Find This Book In
BOXING DAY
Flexi Bound Book
RRP $22.99
$9.25
OFF
This product is categorised by
- Non-FictionSciencePhysicsRelativity Physics
- Non-FictionSciencePhysicsApplied PhysicsGeophysics
- Non-FictionSciencePhysicsClassical MathematicsWave Mechanics including Vibration & Acoustics
- Non-FictionSciencePhysicsApplied PhysicsAstrophysics
- Non-FictionScienceAstronomy, Space & TimeCosmology & The Universe