| Compact Objects in Astrophysics |
| >>Note: Compact objects are an important class of astronomical objects in current research. Supermassive black holes play an important role in the understanding of the formation of galaxies in the early Universe. Old white dwarfs are nowadays used to calibrate the age of the Universe. Mergers of neutron stars and black holes are the sources of intense gravitational waves which will be measured in the next ten years by gravitational wave detectors. |
| Camenzind's Compact Objects in Astrophysics gives a comprehensive introduction and up-to-date overview about the physical processes behind these objects, covering the field from the beginning to most recent results, including all relevant observations. |
| After a presentation of the taxonomy of compact objects, the basic principles of general relativity are given. The author then discusses in detail the physics and observations of white dwarfs and neutron stars (including the most recent equations of state for neutron star matter), the gravitational field of rapidly rotating compact objects, rotating black holes (including ray tracing and black hole magnetospheres), gravitational waves, and the new understanding of accretion processes by means of the magnetorotational instability of accretion disks. |
| This modern treatise of compact object astrophysics uses the 3+1 split approach to Einstein's equations, and to relativistic hydrodynamics and magnetohydrodynamics. In each chapter problems and solutions help deepen the understanding of the subject. Both advanced students and researchers will appreciate this book as an advanced textbook and reference on this fascinating field of astrophysics. |
| | Epilogue and Future Prospects Astrophysical Constants and Symbols |
| | Compact Objects in Astrophysics |
| | Physics of Accretion Flows around Compact Objects |
| | Rapidly Rotating Neutron Stars |
| | Astrophysical Black Holes |
| | Matter Models for Compact Objects |
| | Gravity of Compact Objects |
| | Relativistic Stellar Structure |
| | SLy4 Equation of State for Neutron Star Matter |
| | 3+1 Split of Spacetime Curvature |
| | Codazzi-Mainardi Equations |
| | 3+1 Split of Rotating Neutron Star Geometry |
| | The 3+1 Split of the Connection |
| | The Curvature of Time Slices |
| | Conservative Formulation of GRMHD |
| | Compact Objects in Astrophysics: |
| | White Dwarfs, Neutron Stars and Black Holes |
| | Gravity of Compact Objects |
| | 3+1 Split of Einstein’s Equations |
| | Induced Spatial Metric and Extrinsic Curvature |
| | Split of Affine Connection and Curvature |
| | Split of Einstein’s Equations |
| | Black Hole Simulations and Gravitational Waves |
| | The Basic Principles of General Relativity |
| | Einstein’s Equivalence Principle and Metricity |
| | Metric Theories of Gravity |
| | Basic Calculus on Manifolds |
| | Tensors and Forms on Manifolds |
| | The Metric Field and Pseudo-Riemannian Manifolds |
| | The Calculus of Forms on Lorentzian Manifolds |
| | Affine Connection and Covariant Derivative |
| | Covariant Derivative of Vector Fields |
| | Covariant Derivative for Tensor Fields |
| | Parallel Transport and Metric Connection |
| | Divergence of Vector Fields |
| | Curvature of Pseudo-Riemannian Manifolds |
| | Mathematical Definition of Torsion and Curvature |
| | Bianchi Identities for Metric Connection |
| | Ricci, Weyl and Einstein Tensor |
| | Cartan’s Structure Equations |
| | Gravity is a Lorentzian Connection on Spacetime |
| | The Four Key Principles of General Relativity |
| | The Hilbert Action and Einstein’s Field Equations |
| | On the Cosmological Constant |
| | Limits of General Relativity |
| | The Geodesic Deviation - Relativistic Tidal Forces |
| | The Nature of Gravitational Waves |
| | Gravitational Wave Solutions |
| | Geometric Concepts and General Relativity |
| | Compact Objects in Astrophysics: |
| | White Dwarfs, Neutron Stars and Black Holes |
| | The Structure of a Neutron Star |
| | Neutron Stars in our Galaxy |
| | 100 Million Neutron Stars in the Galaxy |
| | Thermal Emission from Isolated Neutron Stars |
| | Accretion-Powered Neutron Stars and the Mass-Radius Relation |
| | Masses of Neutron Stars from Radio Pulsar Timing |
| | Timing of the Binary System PSR B1913+16 |
| | Masses of Companion Stars |
| | The Double Pulsar System PSR 0737-3039A+B |
| | Neutron Stars in Close Binary Systems |
| | Post-Newtonian Potentials for Many-Body Systems |
| | Periastron Shift in Two-Body Systems |
| | The Shapiro Time Delay in a Binary System |
| | Decay of Binary Orbits due to Gravitational Radiation |
| | Grand Canonical Potential for Quark Matter |
| | The Structure ofMassive Neutron Stars |
| | Equations of State beyond Neutron Drip |
| | From Neutron Drip to Saturation |
| | Nuclear EoS for Dense NeutronMatter |
| | Relativistic Mean Field Theory above Saturation |
| | Compact Objects in Astrophysics: |
| | White Dwarfs, Neutron Stars and Black Holes |
| | Physics of Accretion Flows around Compact Objects |
| | Angular Momentum Transport |
| | States of Turbulent Accretion Disks |
| | Turbulent Angular Momentum Transport in Accretion Disks |
| | Truncated Accretion and Standard Disk Models in 1D |
| | Standard Thin Disk Solutions (SSD) |
| | Advection-Dominated Flows (ADAF) |
| | Super-Eddington Accretion |
| | Unified Models of Disk Accretion |
| | Fundamental Time-Scales for Accreting Black Holes |
| | Magnetohydrodynamics for Accretion Disks |
| | Equations of Magnetohydrodynamics |
| | Time and Space Discretization |
| | MRI Driven Turbulence in Disks |
| | Two-Temperature Plasmas and Radiation Pressure in Accretion Disks |
| | Relativistic MHD - Turbulent Accretion onto Black Holes |
| | Nonradiative Accretion onto Rotating Black Holes |
| | Jets as Outflows from the Ergospheric Region |
| | From the Ergosphere to the Cluster Gas |
| | Compact Objects in Astrophysics: |
| | White Dwarfs, Neutron Stars and Black Holes |
| | Astrophysical Black Holes |
| | Classes of Astrophysical Black Holes |
| | Measuring Black Hole Masses |
| | Intermediate-Mass Black Holes |
| | Supermassive Black Holes in Nearby Galaxies |
| | Estimating Black Hole Spin |
| | Black Hole Spin and Radio Galaxies |
| | Spectral Fitting of Accretion Disks |
| | Quasiperiodic Oscillations |
| | Black Holes and Galaxy Formation |
| | Black Hole Magnetospheres |
| | Relaxation of Black Hole Magnetospheres and the Blandford-Znajek Process |
| | Stationary Magnetospheres on Kerr Black Holes |
| | Time Evolution of Magnetic and Current Flux in Turbulent Disks |
| | Plasma Equations in the 3+1 Split |
| | The 3+1 Formalism for Maxwell’s Equations |
| | Magnetic Spin-Down of Rotating Black Holes |
| | Compact Objects in Astrophysics: |
| | White Dwarfs, Neutron Stars and Black Holes |
| | What is Inside a White Dwarf? |
| | Structure of the Surface Layers |
| | Cooling Curves and Crystallization |
| | Testing WD Crystallization Theory |
| | Structure of White Dwarfs and the Chandrasekhar Mass |
| | Beyond the Chandrasekhar Treatment |
| | Comparison with Observations |
| | Equation of State below the Neutron Drip Density |
| | Observations of Isolated White Dwarfs |
| | Field White Dwarfs and Classification |
| | White Dwarfs in Globular Clusters |
| | Ultracool White Dwarfs as Cosmochronometers |
| | The Relativistic Instability of White Dwarf Stars |
| | Necessary Condition for Stability |
| | The Total Energy in the Post-Newtonian Limit |
| | GR White Dwarf Instability |
| | White Dwarfs in Binary Systems |
| | Compact Objects in Astrophysics: |
| | White Dwarfs, Neutron Stars and Black Holes |
| | Rapidly Rotating Neutron Stars |
| | Spacetime of Stationary and Axisymmetric Rotating Bodies |
| | Physical Interpretation of the Metric |
| | Geodetic and Lense-Thirring Precession |
| | On General 3+1 Split of Spacetime |
| | Einstein’s Field Equations for Rotating Objects |
| | Ricci Tensors of Time-Slices |
| | Extrinsic Curvature and 4D Ricci Tensors |
| | 3+1 Split of Einstein’s Equations |
| | Stellar Structure Equations in Isotropic Gauge |
| | Structure Equations for Rotating Stars |
| | Mechanical Equilibrium and Effective Potential |
| | The Slow-Rotation Approximation |
| | Numerical Integration of the Stellar Structure Equations |
| | Comparison of Numerical Codes |
| | Properties of Rotating Equilibrium Stellar Structures |
| | On Oscillation and Formation of Rotating Neutron Stars |
| | Towards Analytical Vacuum Solutions for Rotating Neutron Stars |
| | Compact Objects in Astrophysics: |
| | White Dwarfs, Neutron Stars and Black Holes |
| | The Necessity of an Anisotropic Crust |
| | Geodetic Motions in Schwarzschild Spacetime |
| | The Effective Potential for Equatorial Motion |
| | Orbital Equation and Bound Orbits in Schwarzschild Spacetime |
| | Kerr Black Hole in Boyer-Lindquist Coordinates |
| | A Short Derivation of the Kerr Solution |
| | The Weyl-Papapetrou Form of the Kerr Metric |
| | Uniqueness of the Kerr Solution |
| | Global Properties of the Kerr Metric |
| | On the Conformal Structure of the Kerr Solution |
| | Ernst’s Equations for the Kerr Geometry |
| | The Kerr-Schild Metric and Two-Black-Hole States |
| | Rotational Energy and the Four Laws of Black Hole Evolution |
| | Surface Gravity and Angular Velocity of the Horizon |
| | First Law of Black Hole Dynamics |
| | Rotational Energy of Astrophysical Black Holes |
| | On the Second and Third Laws of Black Hole Dynamics |
| | Time Evolution of Black Holes |
| | Quasistationary Evolution of Accreting Black Holes |
| | Geodesics in the Kerr Geometry |
| | Direct Integration of Geodesics Equations |
| | Geodesics in the Equatorial Plane |
| | Geodesics Including Lateral Motion |
| | Null Geodesics and Ray-Tracing in Kerr Geometry |
| | The Schwarzschild Black Hole |
| | Tortoise Coordinates and Null Cones |
| | Roads towards Black Hole Formation |
| | Penrose Diagram - the Conformal Structure of Infinity |
| | Compact Objects in Astrophysics: |
| | White Dwarfs, Neutron Stars and Black Holes |
| | Compact Objects in Astrophysics |
| | Why is Newtonian Gravity Obsolete? |
| | Einstein was Skeptical about the Existence of Black Holes |
| | Subrahmanyan Chandrasekhar and Compact Objects |
| | Classes of Compact Objects |
| | White Dwarfs and Neutron Stars |
| | Supermassive Black Holes in Galactic Centers |
| | Compact Objects in Astrophysics: |
| | White Dwarfs, Neutron Stars and Black Holes |
| | Matter Models for Compact Objects |
| | General Relativistic Hydrodynamics |
| | Relativistic Plasma Equations |
| | On Numerics of Hydrodynamics |
| | The Boltzmann Equation in GR |
| | The Geodesics Spray on the Cotangent Bundle |
| | Particle Number Current and Energy-Momentum Tensor |
| | The Relativistic Boltzmann Equation |
| | Liouville Operator in 3+1 Split |
| | Transformation into the Local Rest Frame |
| | Compact Objects in Astrophysics: |
| | White Dwarfs, Neutron Stars and Black Holes |
| | Relativistic Stellar Structure |
| | Spacetime of Relativistic Stars |
| | Derivation of the TOV Equations |
| | The Curvature of Static Spacetimes |
| | The Exterior Schwarzschild Solution |
| | Stable Branches for Degenerate Stars |
| | Metric for Relativistic Stars |
| | A Variational Principle for the Stellar Structure |
| | Compact Objects in Astrophysics: |
| | White Dwarfs, Neutron Stars and Black Holes |
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