Relativity, astrophysics and cosmology: 1
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Weinheim
Wiley-VCH
(2008)
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| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XIX, 537 S. Ill., graph. Darst. 25 cm |
Internformat
MARC
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| 245 | 1 | 0 | |a Relativity, astrophysics and cosmology |n 1 |c Radoje Belušević |
| 264 | 1 | |a Weinheim |b Wiley-VCH |c (2008) | |
| 300 | |a XIX, 537 S. |b Ill., graph. Darst. |c 25 cm | ||
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| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-016500480 | |
Datensatz im Suchindex
| _version_ | 1805090488810733568 |
|---|---|
| adam_text |
І їх
Contents
Volume I
1
An Introduction to Cosmology
1
1.1
Unity of Physical Laws
2
1.2
The Cosmological Hypothesis
4
1.3
Thermal Radiation in an Expanding Universe
6
1.4
The Discovery and Properties of CMB
10
1.5
Thermodynamic Equations for Matter
28
1.6
Universe in Transition
20
1.7
The Role of Gravity
24
1.8
The Friedmann-Lemaftre Equations
(Л
= 0) 27
1.9
Cartan's Formulation of Newtonian Gravity
31
1.9.1 *
Newtonian Cosmology
34
1.10
Thermal History of the Early Universe
35
1.10.1
Particle Distribution Functions
38
1.10.2
Neutrino Decoupling and the Radiation Era
42
1.11
Primordial Nucleosynthesis
47
1.11.1
Neutron-to-proton Ratio in an Expanding Universe
53
1.11.2
Element Synthesis in the Early Universe
59
1.11.3
Measurements of Primordial Abundances
63
1.12
Decoupling of Matter and Radiation
69
1.13
The First Stars and the Re-ionization Epoch
77
1.14
Gravitational Instability in the
Friedmann-Lemaître
Model
82
1.15
Acoustic (Sound) Horizon at Recombination
93
1.16
Dark Matter and Structure Formation
96
1.16.1
Nature and Properties of Dark Matter
202
1.16.2
Structure Formation in Models with Cold Dark Matter
2 03
1.17
Statistics of Density Fluctuations
2 06
1.17.1
Galaxy Redshift Surveys
225
1.17.2
Biasing, Nonlinear Evolution and Peculiar Motions
118
1.18
Temperature Anisotropies in the CMB
227
1.18.1
Primary Anisotropies
127
1.18.2
Secondary Anisotropies
131
1.19
Multipole Analysis of the Cosmic Microwave Background
135
1.19.1
The CMB
Dipole
Component
139
1.19.2
Cosmological Parameters from CMB Anisotropies
242
1.20 *
CMB Observational Techniques
146
1.20.1
Microwave Telescopes
150
1.20.2
Interferometry
154
1.21
Galaxies and Clusters
259
1.21.1
Our Galaxy, the Milky Way
260
1.21.2
The Local Universe
265
1.21.3
Classification of Galaxies
168
1.21.4
Active Galactic Nuclei
271
1.21.5 *
Accretion in Galactic Nuclei
277
1.21.6
The Origin and Morphological Evolution of Galaxies
287
1.22
A Brief History of the Universe
192
1.23
The Ultimate Fate of the Universe
196
Bibliography
199
2
Special and General Relativity
203
2.1
Précis
of Special Relativity
203
2.1.1
The First and Second Postulates of SRT
203
2.1.2
Relativistic Kinematics
208
2.1.3
Mass, Momentum and Energy
217
2.1.4
The
Doppler
Effect
221
2.1.5
Stellar Aberration and the Penrose-Terrell Effect
223
2.1.6
The Speed of Light in a Moving Medium
228
2.1.7
Accelerations and Forces in Special Relativity
230
2.1.8
Thomas Precession and the Anomalous Magnetic Moment
233
2.1.9
The Metric Tensor
238
2.2
The Equivalence Principle and Spacetime Curvature
247
2.2.1
The Gravitational Redshift
249
2.2.2
The Gravitational Time Dilation
251
2.2.3
The Bending of Light
253
2.3
Geodesies
254
2.4
A Metric with Spherical Symmetry
255
2.4.1
Kepler's Third Law
259
2.4.2
Time Intervals in Curved Spacetime
260
2.4.3
The Gravitational Redshift Revisited
261
2.5
Hamilton's Principle and Euler-Lagrange Equations
264
2.6
Action Integral in Flat and Curved
Spacetimes 272
2.7
The Geodesic Equation
274
XI
2.8
The Metric Tensor and
Christoffel
Symbols
278
2.9
Locally
Inerţial
Frames (LIF)
279
2.10
The Equation of Geodesic Deviation
284
2.11
Tensors and Tensor Densities
287
2.12
Covariant Differentiation of Tensors
295
2.13
Parallel Transport and Geodesies
301
2.14
Electrodynamics in Curved Spacetime
305
2.15
Riemann and
Ricci
Tensors
307
2.16
Bianchi
Identities
322
2.17
Einstein's Law of Gravitation
325
2.18
The Energy-Momentum Tensor
322
2.19
Einstein's Equations from a Variational Principle
324
2.20
Spacetime as a Differentiable Manifold
329
2.20.1
Curved Manifolds, Tangent Vectors and One-forms
332
2.20.2
Tensors as Multilinear Maps
337
2.20.3
Metric as a Mapping of Vectors into One-forms
338
2.20.4
Isomorphism of Vectors and One-forms
342
2.21 *
Differential Forms and
Electromagnetism
342
2.21.1
The Hodge Star Operator
346
2.21.2
The Exterior Derivative
349
2.21.3
Maxwell's Equations and Gauge
Invariance
352
2.21.4
The Co-derivative Operator
354
2.21.5
Generalized Stokes' Theorem
355
2.21.6
Maxwell's Equations from a Variational Principle
357
2.21.7
The Inner (Scalar) Product
358
2.21.8
Some Useful Formulae
359
2.22 *
Curvature Forms on Differentiable Manifolds
362
2.22.1
The Lie Derivative
361
2.22.2
The
Koszul
Connection
365
2.22.3
Curvature and Torsion
369
2.22.4
Geodesies and Geodesic Deviation
372
2.22.5
Ricci
and
Bianchi
Identities
373
2.22.6
General (Anholonomic) Bases
375
2.22.7
Cartan's Structural Equations
377
2.22.8
The
Schwarzschild
Metric in an
Orthonormal
Basis
379
Bibliography
382
3
The
Frîedmann-Lemaître
Universe
385
3.1
The Robertson-Walker Metric
385
3.2
The
Friedmann-Lemaître
Universe
(Л
= 0) 395
3.3
Acceleration of Cosmic Expansion
398
3.4
Derivation of the
Friedmann-Lemaître
Equations
402
XII
3.4.1 *
Curvature Two-form for the Robertson-Walker Metric
407
3.5
General Dynamics of the Expansion
(Λ φ
0) 409
3.6
Distances in a Homogeneous Universe
412
3.7
Some Basic Concepts in Photometry
423
3.8
The Extragalactic Distance Scale
429
3.8.1
Trigonometric Parallax
421
3.8.2
Main-sequence Fitting
424
3.8.3
Cepheid Variable Stars
425
3.8.4
Type
Ia Supernovae
(SNe
Ia)
427
3.8.5
Surface-brightness Fluctuations (SBFs) 42S
3.8.6
The Tully-Fisher Relation (TFR) for Spirals
430
3.8.7
The Fundamental Plane for Ellipticals
432
3.8.8
Type II
Supernovae
(SNe
Π)
434
3.8.9
Water
Masers
as Absolute Distance Indicators
435
3.8.10
The Thermal Sunyaev-Zeldovich Effect
436
3.8.11
The
HST
Key Project to Measure Ho
437
3.9
High-redshift
Supernovae Ia
438
3.10
Gravitational Lensing
443
3.10.1
The Lens Equation and the Einstein Radius
449
3.10.2
Galactic Microlensing
452
3.10.3
The Lens Equation in Cosmology
458
3.10.4
Convergence, Shear and Critical Curves
463
3.10.5
Cosmic Shear as a Probe of Large-scale Structure
468
3.10.6
Light Propagation in an Inhomogeneous Universe
471
3.11
CMB Polarization Anisotropies
478
3.11.1
Stokes Parameters
481
3.11.2
Statistics of Polarization Anisotropies
485
3.12 *
Relativistic Theory of Cosmological Fluctuations
489
3.12.1
Scalar Perturbations and Gauge Transformation
491
3.12.2
The Einstein Equations for Scalar Perturbations
495
3.12.3
Adiabatic Scalar Perturbations
499
3.12.4
The Boltzmann Equation for Photons
504
3.12.5
Acoustic Dynamics
509
3.13 *
Inflationary Cosmology
514
Bibliography
521
Index
523 |
| adam_txt |
І їх
Contents
Volume I
1
An Introduction to Cosmology
1
1.1
Unity of Physical Laws
2
1.2
The Cosmological Hypothesis
4
1.3
Thermal Radiation in an Expanding Universe
6
1.4
The Discovery and Properties of CMB
10
1.5
Thermodynamic Equations for Matter
28
1.6
Universe in Transition
20
1.7
The Role of Gravity
24
1.8
The Friedmann-Lemaftre Equations
(Л
= 0) 27
1.9
Cartan's Formulation of Newtonian Gravity
31
1.9.1 *
Newtonian Cosmology
34
1.10
Thermal History of the Early Universe
35
1.10.1
Particle Distribution Functions
38
1.10.2
Neutrino Decoupling and the Radiation Era
42
1.11
Primordial Nucleosynthesis
47
1.11.1
Neutron-to-proton Ratio in an Expanding Universe
53
1.11.2
Element Synthesis in the Early Universe
59
1.11.3
Measurements of Primordial Abundances
63
1.12
Decoupling of Matter and Radiation
69
1.13
The First Stars and the Re-ionization Epoch
77
1.14
Gravitational Instability in the
Friedmann-Lemaître
Model
82
1.15
Acoustic (Sound) Horizon at Recombination
93
1.16
Dark Matter and Structure Formation
96
1.16.1
Nature and Properties of Dark Matter
202
1.16.2
Structure Formation in Models with Cold Dark Matter
2 03
1.17
Statistics of Density Fluctuations
2 06
1.17.1
Galaxy Redshift Surveys
225
1.17.2
Biasing, Nonlinear Evolution and Peculiar Motions
118
1.18
Temperature Anisotropies in the CMB
227
1.18.1
Primary Anisotropies
127
1.18.2
Secondary Anisotropies
131
1.19
Multipole Analysis of the Cosmic Microwave Background
135
1.19.1
The CMB
Dipole
Component
139
1.19.2
Cosmological Parameters from CMB Anisotropies
242
1.20 *
CMB Observational Techniques
146
1.20.1
Microwave Telescopes
150
1.20.2
Interferometry
154
1.21
Galaxies and Clusters
259
1.21.1
Our Galaxy, the Milky Way
260
1.21.2
The Local Universe
265
1.21.3
Classification of Galaxies
168
1.21.4
Active Galactic Nuclei
271
1.21.5 *
Accretion in Galactic Nuclei
277
1.21.6
The Origin and Morphological Evolution of Galaxies
287
1.22
A Brief History of the Universe
192
1.23
The Ultimate Fate of the Universe
196
Bibliography
199
2
Special and General Relativity
203
2.1
Précis
of Special Relativity
203
2.1.1
The First and Second Postulates of SRT
203
2.1.2
Relativistic Kinematics
208
2.1.3
Mass, Momentum and Energy
217
2.1.4
The
Doppler
Effect
221
2.1.5
Stellar Aberration and the Penrose-Terrell Effect
223
2.1.6
The Speed of Light in a Moving Medium
228
2.1.7
Accelerations and Forces in Special Relativity
230
2.1.8
Thomas Precession and the Anomalous Magnetic Moment
233
2.1.9
The Metric Tensor
238
2.2
The Equivalence Principle and Spacetime Curvature
247
2.2.1
The Gravitational Redshift
249
2.2.2
The Gravitational Time Dilation
251
2.2.3
The Bending of Light
253
2.3
Geodesies
254
2.4
A Metric with Spherical Symmetry
255
2.4.1
Kepler's Third Law
259
2.4.2
Time Intervals in Curved Spacetime
260
2.4.3
The Gravitational Redshift Revisited
261
2.5
Hamilton's Principle and Euler-Lagrange Equations
264
2.6
Action Integral in Flat and Curved
Spacetimes 272
2.7
The Geodesic Equation
274
XI
2.8
The Metric Tensor and
Christoffel
Symbols
278
2.9
Locally
Inerţial
Frames (LIF)
279
2.10
The Equation of Geodesic Deviation
284
2.11
Tensors and Tensor Densities
287
2.12
Covariant Differentiation of Tensors
295
2.13
Parallel Transport and Geodesies
301
2.14
Electrodynamics in Curved Spacetime
305
2.15
Riemann and
Ricci
Tensors
307
2.16
Bianchi
Identities
322
2.17
Einstein's Law of Gravitation
325
2.18
The Energy-Momentum Tensor
322
2.19
Einstein's Equations from a Variational Principle
324
2.20
Spacetime as a Differentiable Manifold
329
2.20.1
Curved Manifolds, Tangent Vectors and One-forms
332
2.20.2
Tensors as Multilinear Maps
337
2.20.3
Metric as a Mapping of Vectors into One-forms
338
2.20.4
Isomorphism of Vectors and One-forms
342
2.21 *
Differential Forms and
Electromagnetism
342
2.21.1
The Hodge Star Operator
346
2.21.2
The Exterior Derivative
349
2.21.3
Maxwell's Equations and Gauge
Invariance
352
2.21.4
The Co-derivative Operator
354
2.21.5
Generalized Stokes' Theorem
355
2.21.6
Maxwell's Equations from a Variational Principle
357
2.21.7
The Inner (Scalar) Product
358
2.21.8
Some Useful Formulae
359
2.22 *
Curvature Forms on Differentiable Manifolds
362
2.22.1
The Lie Derivative
361
2.22.2
The
Koszul
Connection
365
2.22.3
Curvature and Torsion
369
2.22.4
Geodesies and Geodesic Deviation
372
2.22.5
Ricci
and
Bianchi
Identities
373
2.22.6
General (Anholonomic) Bases
375
2.22.7
Cartan's Structural Equations
377
2.22.8
The
Schwarzschild
Metric in an
Orthonormal
Basis
379
Bibliography
382
3
The
Frîedmann-Lemaître
Universe
385
3.1
The Robertson-Walker Metric
385
3.2
The
Friedmann-Lemaître
Universe
(Л
= 0) 395
3.3
Acceleration of Cosmic Expansion
398
3.4
Derivation of the
Friedmann-Lemaître
Equations
402
XII
3.4.1 *
Curvature Two-form for the Robertson-Walker Metric
407
3.5
General Dynamics of the Expansion
(Λ φ
0) 409
3.6
Distances in a Homogeneous Universe
412
3.7
Some Basic Concepts in Photometry
423
3.8
The Extragalactic Distance Scale
429
3.8.1
Trigonometric Parallax
421
3.8.2
Main-sequence Fitting
424
3.8.3
Cepheid Variable Stars
425
3.8.4
Type
Ia Supernovae
(SNe
Ia)
427
3.8.5
Surface-brightness Fluctuations (SBFs) 42S
3.8.6
The Tully-Fisher Relation (TFR) for Spirals
430
3.8.7
The Fundamental Plane for Ellipticals
432
3.8.8
Type II
Supernovae
(SNe
Π)
434
3.8.9
Water
Masers
as Absolute Distance Indicators
435
3.8.10
The Thermal Sunyaev-Zeldovich Effect
436
3.8.11
The
HST
Key Project to Measure Ho
437
3.9
High-redshift
Supernovae Ia
438
3.10
Gravitational Lensing
443
3.10.1
The Lens Equation and the Einstein Radius
449
3.10.2
Galactic Microlensing
452
3.10.3
The Lens Equation in Cosmology
458
3.10.4
Convergence, Shear and Critical Curves
463
3.10.5
Cosmic Shear as a Probe of Large-scale Structure
468
3.10.6
Light Propagation in an Inhomogeneous Universe
471
3.11
CMB Polarization Anisotropies
478
3.11.1
Stokes Parameters
481
3.11.2
Statistics of Polarization Anisotropies
485
3.12 *
Relativistic Theory of Cosmological Fluctuations
489
3.12.1
Scalar Perturbations and Gauge Transformation
491
3.12.2
The Einstein Equations for Scalar Perturbations
495
3.12.3
Adiabatic Scalar Perturbations
499
3.12.4
The Boltzmann Equation for Photons
504
3.12.5
Acoustic Dynamics
509
3.13 *
Inflationary Cosmology
514
Bibliography
521
Index
523 |
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| author | Belusević, Radoje 1953- |
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| index_date | 2024-07-02T20:52:12Z |
| indexdate | 2024-07-20T09:40:37Z |
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| language | English |
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| publisher | Wiley-VCH |
| record_format | marc |
| spelling | Belusević, Radoje 1953- Verfasser (DE-588)120799960 aut Relativity, astrophysics and cosmology 1 Radoje Belušević Weinheim Wiley-VCH (2008) XIX, 537 S. Ill., graph. Darst. 25 cm txt rdacontent n rdamedia nc rdacarrier (DE-604)BV023316288 1 Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016500480&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Belusević, Radoje 1953- Relativity, astrophysics and cosmology |
| title | Relativity, astrophysics and cosmology |
| title_auth | Relativity, astrophysics and cosmology |
| title_exact_search | Relativity, astrophysics and cosmology |
| title_exact_search_txtP | Relativity, astrophysics and cosmology |
| title_full | Relativity, astrophysics and cosmology 1 Radoje Belušević |
| title_fullStr | Relativity, astrophysics and cosmology 1 Radoje Belušević |
| title_full_unstemmed | Relativity, astrophysics and cosmology 1 Radoje Belušević |
| title_short | Relativity, astrophysics and cosmology |
| title_sort | relativity astrophysics and cosmology |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016500480&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV023316288 |
| work_keys_str_mv | AT belusevicradoje relativityastrophysicsandcosmology1 |