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Lulu Press Dialogues Concerning Two New Sciences
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Springer New York General Relativity Astrophysics and Cosmology Astronomy and Astrophysics Library
Book SynopsisFor about half a century the general theory of relativity attracted little attention from physicists.Table of ContentsI. The General Theory of Relativity.- 1. Introduction.- 1.1. The Case for Nonflat Space—Time.- 1.2. The Principle of Equivalence.- 1.3. Conflict Between the Equivalence Principle and the Pseudo-Euclidean Metric: Gravitational Redshift.- 1.4. A Fifth Force.- 2. Tensor Calculus and Riemannian Geometry.- 2.1. Riemannian Geometry and the Metric Tensor.- 2.2. Vectors and Tensors.- 2.3. Invariant Volume and Volume Integral.- 2.4. Affine Connection—Parallel Transport.- 2.5. Covariant Differentiation.- 2.6. The Differential Equation of a Geodesic.- 2.7. The Integrability of Parallel Displacement.- 2.8. The Riemann—Christoffel Tensor.- 2.9. The Bianchi Identity.- 2.10. The Ricci Tensor and the Einstein Tensor.- 2.11. The Weyl Tensor.- 2.12. Geodesic Deviation.- 3. Einstein’s Field Equations.- 3.1. Einstein’s Formulation of the Field Equations.- 3.2. Weak Field Approximation (Static Case).- 3.3. Gravitational Waves in Weak Field Approximation.- 3.4. Detection of Gravitational Waves.- 3.5. Integration of the Linearized Equations for a Stationary Axially Symmetric Distribution.- 3.6. The Action Principle and the Energy—Momentum Tensors.- 3.7. The Energy—Stress Tensor.- 3.8. The Einstein Equations from the Variational Principle.- 4. The Schwarzschild Metric and Crucial Tests.- 4.1. The Schwarzschild Solution.- 4.2. Birkhoff’s Theorem.- 4.3. Three Crucial Tests.- 4.4. The PPN Formalism.- 4.5. The Schwarzschild or the Spherically Symmetric Black Hole.- 4.6. Frequency Shift of Spectral Lines of Light Emitted by a Collapsing/Exploding Spherical Body.- 4.7. Fall in Apparent Luminosity of a Collapsing Body.- 4.8. Kruskal—Szekeres Coordinates.- 4.9. Historical Note on the Schwarzschild Black Hole.- 5. Electromagnetism in General Relativity.- 5.1. Introduction.- 5.2. The Field of a Charged Particle.- 5.3. Static Electrovac.- 5.4. The Already Unified Field Theory.- 6. Axially Symmetric Fields.- 6.1. The Lie Derivative and the Killing Equation.- 6.2. Static and Stationary Metrics.- 6.3. The Axially Symmetric Static Metric.- 6.4. Weyl’s Canonical Form.- 6.5. The Case of Two Mass Particles.- 6.6. The Schwarzschild Metric in the Form (6.21).- 6.7. Stationary Axisymmetric Vacuum Solutions.- 7. The Kerr Metric or the Rotating Black Hole.- 7.1. The Kerr Metric in Boyer—Lindquist Coordinates.- 7.2. The Black Hole Property.- 7.3. Locally Nonrotating Observers.- 7.4. The Horizon as a Null Surface.- 7.5. The Kerr—Newmann Metric.- 7.6. The Penrose Process.- 8. The Energy—Momentum Pseudotensor of the Gravitational Field and Loss of Energy by Gravitational Radiation.- 8.1. The Pseudo-Energy—Momentum Tensor.- 8.2. Historical Note.- 8.3. Loss of Energy by Gravitational Radiation.- 8.4. The Case of a Binary Star.- 9. Analysis of the Observational Data of the Hulse—Taylor Pulsar. Confirmation of the Einstein Quadrupole Radiation Formula.- II. Relativistic Astrophysics.- 10. White Dwarf Stars.- 10.1. Introduction.- 10.2. The Contraction of a Radiating Star in the Absence of Energy Generation.- 10.3. Degeneracy and the Equation of State.- 10.4. Limiting Mass for White Dwarfs.- 10.5. A Simple Argument for the Mass Limit.- 10.6. Critique of Chandrasekhar’s Result and Later Works.- 10.7. Historical Note.- 10.8. Observational Data on White Dwarfs.- 10.9. The Cooling and Age of White Dwarfs.- 11. Stellar Evolution, Supernovae, and Compact Objects.- 11.1. Introduction.- 11.2. The Evolution of Stars.- 11.3. The Dynamical Collapse.- 11.4. Some Numerical Results.- 11.5. Explosive Processes.- 11.6. Supernova 1987 A.- 12. Pulsars.- 12.1. Introduction.- 12.2. Distance from Dispersion Measure.- 12.3. Identification of Pulsars as Neutron Stars.- 12.4. The Energetics of Pulsar Emission.- 12.5. The Magnetic Field at the Pulsar Surface.- 12.6. The Age of Pulsars.- 12.7. Calculation of the Braking Index.- 12.8. The Nonvacuum Model.- 12.9. Observational Determination of Pulsar Masses.- 12.10. Cooling of Neutron Stars—Theory and Observation.- 12.11. The Influence of Superfluidity.- 12.12. The Influence of Pion Condensation.- 12.13. The Influence of Quarks.- 13. Spherically Symmetric Star Models.- 13.1. Introduction.- 13.2. The Tolman, Oppenheimer—Volkoff Equation.- 13.3. The Equation of State for Cold Catalyzed Matter.- 13.4. A Model of a Neutron Star and the Mass Limits.- 13.5. The Problems of the Upper Mass Limit of Neutron Stars.- 13.6. The Influence of Rotation, etc., on the Mass Limit.- 13.7. Note on the Stability of Compact Objects.- 14. Black Holes.- 14.1. Introduction.- 14.2. The No-Hair Theorem.- 14.3. The Laws of Black Hole Physics.- 14.4. Black Hole Thermodynamics.- 14.5. The Identification of a Black Hole—Cygnus X-1.- 14.6. The Possible Locale of the Occurrence of Black Holes.- 14.7. The Quasi-Steller Objects (Quasars).- 14.8. Gravitational Lens.- 15. Accretion onto Compact Objects.- 15.1. Introduction—Spherically Symmetric Accretion.- 15.2. Disk Accretion.- 15.3. Compact X-Ray Sources.- III. Cosmology.- 16. The Standard Cosmological Model.- 16.1. Introduction to the Friedmann Metric.- 16.2. Elementary Discussion of Standard Cosmology.- 16.3. The Observational Background of Cosmology.- 16.4. Summary.- 17. The Singularity Problem.- 17.1. Introduction.- 17.2. The Raychaudhuri Equation.- 17.3. The Meaning of Shear, Vorticity, and Expansion.- 17.4. An Elementary Singularity Theorem.- 17.5. The Gödel Universe.- 17.6. General Singularity Theorems.- 18. Thermal History of the Universe—Cosmological Nucleosynthesis.- 18.1. The Thermal History.- 18.2. Cosmological Nucleosynthesis.- 19. Structure Formation in the Universe.- 19.1. The Problem.- 19.2. The Linear Growth Formula.- 19.3. Finite Perturbation.- 19:4. Structure Formation with Dark Matter.- 20. Grand Unified Theory and Spontaneous Symmetry Breaking.- 20.1. Introduction.- 20.2. Gauge Fields.- 20.3. Weak Interaction.- 20.4. Strong Interaction and Grand Unification.- 20.5. Baryon Asymmetry and the Baryon/Photon Ratio.- 21. The Inflationary Scenario.- 21.1. Introduction.- 21.2. The Problems in Terms of Entropy.- 21.3. The Vacuum Energy—Stress Tensor and the de Sitter Phase.- 21.4. The Different Models of Inflation.- 21.5. A Critique of the Inflationary Models.- 21.6. Fluctuations in the Inflationary Models.- 22. Concluding Remarks.- Appendix. Differential Forms.- A.1. Introductory Ideas and Definitions.- A.2. Connection 1-Forms and Ricci Rotation Coefficients.- A.3. Cartan’s Equations of Structure.- A.4. Bianchi Identities and Symmetry Properties of the Riemann—Christoffel Tensor.- A.5. An Example of the Calculation of the Riemann—Christoffel Tensor.- References.
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Springer New York Fundamental Astronomy Springer Study Edition
Book SynopsisHowever, most of the book can be read with very little knowledge of mathematics, and even if the reader skips the mathematically more involved sections, (s)he should get a good overview of the field of astronomy.Trade Review"No one involved in astronomy teaching or research would want to be without a copy." #The Physics Teacher#"Offers a range of expertise and authority impossible for a single-author text..." #Nature# "Fundamental ideas are developed clearly and applied to real problems, and solutions are worked out; this is the book's strength." #Sky & Telescope#Table of Contents1. Introduction.- 1.1 The Role of Astronomy.- 1.2 Astronomical Objects of Research.- 1.3 The Scale of the Universe.- 2. Spherical Astronomy.- 2.1 Spherical Trigonometry.- 2.2 The Earth.- 2.3 The Celestial Sphere.- 2.4 The Horizontal System.- 2.5 The Equatorial System.- 2.6 The Ecliptic System.- 2.7 The Galactic Coordinates.- 2.8 Perturbations of Coordinates.- 2.9 Constellations.- 2.10 Star Catalogues and Maps.- 2.11 Positional Astronomy.- 2.12 Time Reckoning.- 2.13 Astronomical Time Systems.- 2.14 Calendars.- 2.15 Exercises.- 3. Observations and Instruments.- 3.1 Observing Through the Atmosphere.- 3.2 Optical Telescopes.- 3.3 Detectors.- 3.4 Radio Telescopes.- 3.5 Other Wavelength Regions.- 3.6 Instruments of the Future.- 3.7 Other Forms of Energy.- 3.8 Exercises.- 4. Photometric Concepts and Magnitudes.- 4.1 Intensity, Flux Density and Luminosity.- 4.2 Apparent Magnitudes.- 4.3 Magnitude Systems.- 4.4 Absolute Magnitudes.- 4.5 Extinction and Optical Thickness.- 4.6 Exercises.- 5. Radiation Mechanisms.- 5.1 Radiation of Atoms and Molecules.- 5.2 The Hydrogen Atom.- 5.3 Quantum Numbers, Selection Rules, Population Numbers.- 5.4 Molecular Spectra.- 5.5 Continuous Spectra.- 5.6 Blackbody Radiation.- 5.7 Other Radiation Mechanisms.- 5.8 Radiative Transfer.- 5.9 Exercises.- 6. Temperatures.- 6.1 Exercises.- 7. Celestial Mechanics.- 7.1 Equations of Motion.- 7.2 Solution of the Equation of Motion.- 7.3 Equation of the Orbit and Kepler’s First Law.- 7.4 Orbital Elements.- 7.5 Kepler’s Second and Third Law.- 7.6 Orbit Determination.- 7.7 Position in the Orbit.- 7.8 Escape Velocity.- 7.9 Virial Theorem.- 7.10 The Jeans Limit.- 7.11 Exercises.- 8. The Solar System.- 8.1 An Overview.- 8.2 Planetary Configurations.- 8.3 Orbit of the Earth.- 8.4 Orbit of the Moon.- 8.5 Eclipses and Occultations.- 8.6 Albedos.- 8.7 Planetary Photometry, Polarimetry and Spectroscopy.- 8.8 Thermal Radiation of the Planets.- 8.9 The Structure of Planets.- 8.10 Planetary Surfaces.- 8.11 Atmospheres and Magnetospheres.- 8.12 Mercury.- 8.13 Venus.- 8.14 The Earth and the Moon.- 8.15 Mars.- 8.16 Asteroids.- 8.17 Jupiter.- 8.18 Saturn.- 8.19 Uranus, Neptune and Pluto.- 8.20 Minor Bodies of the Solar System.- 8.21 Cosmogony.- 8.22 Other Solar Systems.- 8.23 Exercises.- 9. Stellar Spectra.- 9.1 Measuring Spectra.- 9.2 The Harvard Spectral Classification.- 9.3 The Yerkes Spectral Classification.- 9.4 Peculiar Spectra.- 9.5 The Hertzsprung-Russell Diagram.- 9.6 Model Atmospheres.- 9.7 What Do the Observations Tell Us.- 10. Binary Stars and Stellar Masses.- 10.1 Visual Binaries.- 10.2 Astrometric Binary Stars.- 10.3 Spectroscopic Binaries.- 10.4 Photometric Binary Stars.- 10.5 Exercises.- 11. Stellar Structure.- 11.1 Internal Equilibrium Conditions.- 11.2 Physical State of the Gas.- 11.3 Stellar Energy Sources.- 11.4 Stellar Models.- 11.5 Exercises.- 12. Stellar Evolution.- 12.1 Evolutionary Time Scales.- 12.2 The Contraction of Stars Towards the Main Sequence.- 12.3 The Main Sequence Phase.- 12.4 The Giant Phase.- 12.5 The Final Stages of Evolution.- 12.6 The Evolution of Close Binary Stars.- 12.7 Comparison with Observations.- 12.8 The Origin of the Elements.- 13. The Sun.- 13.1 Internal Structure.- 13.2 The Atmosphere.- 13.3 Solar Activity.- 14. Variable Stars.- 14.1 Classification.- 14.2 Pulsating Variables.- 14.3 Eruptive Variables.- 14.4 Exercises.- 15. Compact Stars.- 15.1 White Dwarfs.- 15.2 Neutron Stars.- 15.3 Black Holes.- 16. The Interstellar Medium.- 16.1 Interstellar Dust.- 16.2 Interstellar Gas.- 16.3 Interstellar Molecules.- 16.4 The Formation of Protostars.- 16.5 Planetary Nebulae.- 16.6 Supernova Remnants.- 16.7 The Hot Corona of the Milky Way.- 16.8 Cosmic Rays and the Interstellar Magnetic Field.- 17. Star Clusters and Associations.- 17.1 Associations.- 17.2 Open Star Clusters.- 17.3 Globular Star Clusters.- 18. The Milky Way.- 18.1 Methods of Distance Measurement.- 18.2 Stellar Statistics.- 18.3 The Rotation of the Milky Way.- 18.4 The Structure and Evolution of the Milky Way.- 18.5 Exercises.- 19. Galaxies.- 19.1 The Classification of Galaxies.- 19.2 Elliptical Galaxies.- 19.3 Spiral Galaxies.- 19.4 Lenticular Galaxies.- 19.5 Luminosities of Galaxies.- 19.6 Masses of Galaxies.- 19.7 Systems of Galaxies.- 19.8 Distances of Galaxies.- 19.9 Active Galaxies and Quasars.- 19.10 The Origin and Evolution of Galaxies.- 20. Cosmology.- 20.1 Cosmological Observations.- 20.2 The Cosmological Principle.- 20.3 Homogeneous and Isotropic Universes.- 20.4 The Friedmann Models.- 20.5 Cosmological Tests.- 20.6 History of the Universe.- 20.7 The Future of the Universe.- Appendices.- A. Mathematics.- A.1 Geometry.- A.2 Taylor Series.- A.3 Vector Calculus.- A.4 Conic Sections.- A.5 Multiple Integrals.- A.6 Numerical Solution of an Equation.- B. Quantum Mechanics.- B.1 Quantum Mechanical Model of Atoms. Quantum Numbers.- B.2 Selection Rules and Transition Probabilities.- B.3 Heisenberg’ Uncertainty Principle.- B.4 Exclusion Principle.- C. Theory of Relativity.- C.1 Basic Concepts.- C.2 Lorentz Transformation. Minkowski Space.- C.3 General Relativity.- C.4 Tests of General Relativity.- D. Radio Astronomy Fundamentals.- D.1 Antenna Definitions.- D.2 Antenna Temperature and Flux Density.- E. Tables.- Further Reading.- Photograph Credits.
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W. W. Norton & Company Angle of Attack
Book Synopsis“Few people know the real story behind the building of Apollo, but Mike Gray has managed to capture the drama and excitement of those urgent times. This is a fascinating book full of lessons about what America can achieve with vision and teamwork.” —Buzz Aldrin
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Cambridge University Press Molecular Astrophysics
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Cambridge University Press Introduction to Spectropolarimetry
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Cambridge University Press The Galaxies of the Local Group
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Cambridge University Press The Distribution of the Galaxies Gravitational Clustering in Cosmology
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Cambridge University Press The Behavior of Chemical Elements in Stars
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Cambridge University Press Xray Detectors in Astronomy 15 Cambridge Astrophysics Series Number 15
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Cambridge University Press Clusters of Galaxies Probes of Cosmological Structure and Galaxy Volume 3 Carnegie Observatories Astrophysics 4 Volume Paperback Set
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Cambridge University Press Measuring and Modeling the Universe
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Cambridge University Press Gravitational Radiation Luminous Black Holes and GammaRay Burst Supernovae
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Cambridge University Press Theory of Black Hole Accretion Discs
Book SynopsisThis authoritative volume was the first to present a comprehensive and up-to-date review of our new understanding of accretion disks around black holes. It presents review papers from leading world authorities who gathered at an international conference in Reykjavik, Iceland. It will be of key interest to graduate students and researchers in astrophysics and theoretical physics.Trade ReviewReview of the hardback: '… the editors should be congratulated on assembling a collection of high-quality articles'. Roger Blandford, The ObservatoryTable of ContentsPart I. Observations of Black Holes: 1. Black holes in our Galaxy: observations P. Charles; 2. Black holes in Active Galactic Nuclei: observations G. M. Madejski; Part II. Physics Close to a Black Hole: 3. Physics of black holes I. D. Novikov; 4. Physics of black hole accretion M. A. Abramowicz; Part III. Turbulence, Viscosity: 5. Disc turbulence and viscosity A. Brandenburg; Part IV. Radiative Processes: 6. The role of electron-positron pairs in accretion flows G. Björnsson; 7. Accretion disc-corona models and X/Y-ray spectra of accreting black holes J. Poutanen; 8. Emission lines: signatures of relativistic rotation A. C. Fabian; Part V. Accretion Discs: 9. Spectral tests of models for accretion disks around black holes J. H. Krolik; 10. Advection-dominated accretion around black holes R. Narayan, R. Mahadevan and E. Quataert; 11. Accretion disc instabilities and advection dominated accretion flows J.-P. Lasota; 12. Magnetic field and multi-phase gas in AGN A. Celotti and M. J. Rees; Part V. Discs in Binary Black Holes: 13. Supermassive binary black holes in galaxies P. Artymowicz; Part VI. Stability of Accretion Discs: 14. Large scale perturbation of an accretion disc by a black hole binary companion J. C. B. Papaloizou, C. Terquem and D. N. C. Lin; 15. Stable oscillations of black hole accretion discs M. Nowak and D. Lehr; Part VI. Coherant Structures: 16. Spotted discs A. Bracco, A. Provenzale, E. A. Spiegel and P. Yecko; Self-organized critically in accretion discs P. Wiita and Y. Xiong; Summary: old and new advances in black hole accretion disc theory R. Svensson.
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Cambridge University Press Auroral Physics
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Cambridge University Press Compact Stellar Xray Sources 39 Cambridge Astrophysics Series Number 39
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