Relativistic astrophysics and cosmology: a primer
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
2006
|
| Schriftenreihe: | Astronomy and astrophysics library
|
| Schlagworte: | |
| Online-Zugang: | Inhaltstext Inhaltsverzeichnis |
| Beschreibung: | XI, 291 S. Ill., graph. Darst. |
| ISBN: | 1402045212 9781402045219 |
Internformat
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| 100 | 1 | |a Hoyng, Peter |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Relativistic astrophysics and cosmology |b a primer |c Peter Hoyng |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 2006 | |
| 300 | |a XI, 291 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
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| 490 | 0 | |a Astronomy and astrophysics library | |
| 650 | 4 | |a Astrophysique relativiste | |
| 650 | 4 | |a Cosmologie | |
| 650 | 4 | |a Cosmology | |
| 650 | 4 | |a Relativistic astrophysics | |
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Datensatz im Suchindex
| _version_ | 1804135737748094976 |
|---|---|
| adam_text | Contents
1
Introduction
............................................... 1
1.1 Special
relativity
(SR)
...................................
З
1.2
General
relativity
(GR)
.................................. 10
1.3
The need for
GR
in astrophysics
........................... 14
2
Geometry of Riemann Spaces
.............................. 19
2.1
Definition
.............................................. 19
2.2
The tangent space
....................................... 21
2.3
Tensors
................................................ 23
2.4
Parallel transport and
Christoffel
symbols
.................. 26
2.5
Geodesies
.............................................. 30
2.6
The covariant derivative
.................................. 33
2.7
Riemann tensor and curvature
............................ 35
3
General Relativity
......................................... 43
3.1
Co-ordinates, metric and motion
.......................... 43
3.2
Weak fields
(1).......................................... 47
3.3
Conservation of mass
.................................... 50
3.4
The field equations
...................................... 52
3.5
Weak fields
(2).......................................... 56
3.6
Discussion
.............................................. 59
4
The
Schwarzschild
Metric
................................. 65
4.1
Preliminary calculations
.................................. 65
4.2
The
Schwarzschild
metric
................................. 69
4.3
Geodesies of the
Schwarzschild
metric
...................... 72
4.4
The classical tests of GR
................................. 77
4.5
Gravitational lenses
...................................... 82
X
Contents
5
Compact Stars
............................................. 89
5.1
End products of stellar evolution
.......................... 89
5.2
The maximum mass Mc
.................................. 95
5.3
The Tolman-Oppenheimer-Volkoff equation
................. 97
5.4
A simple neutron star model
..............................101
5.5
Realistic neutron star models
.............................103
6
Black Holes
................................................109
6.1
Introduction
............................................109
6.2
Observations
............................................110
6.3
Elementary properties
....................................113
6.4
Kruskal-Szekeres co-ordinates
.............................121
6.5
Rotating black holes: the Kerr metric
......................125
6.6
Hawking radiation
.......................................128
7
Gravitational waves
........................................133
7.1
Small amplitude waves
...................................133
7.2
The effect of a gravitational wave on test masses
............136
7.3
Generation of gravitational radiation
.......................138
7.4
Bar detectors
...........................................143
7.5
Interferometer detectors
..................................145
8
Fermi-Walker Transport
...................................155
8.1
Transport of accelerated vectors
...........................155
8.2
Thomas precession
.......................................159
8.3
Geodesic precession
......................................161
8.4
Gravity Probe
В
........................................164
9
The Robertson-Walker Metric
.............................169
9.1
Observations
............................................169
9.2
Definition of co-ordinates
.................................174
9.3
Metric and spatial structure
..............................177
9.4
Equations of motion
.....................................181
9.5
The cosmological constant
................................183
9.6
Geodesies
..............................................185
10
The Evolution of the Universe
.............................189
10.1
Equation of state
........................................189
10.2
The matter era
..........................................191
10.3
The radiation era
........................................197
10.4
The formation of structure
................................203
Contents
XI
11
Observational Cosmology
..................................213
11.1
Redshift and distance
....................................213
11.2
The visible universe and the horizon
.......................218
11.3
Luminosity distance and Hubble relation
...................224
11.4
The microwave background
...............................228
11.5
Light-cone integrals
......................................231
12
The Big Bang
.............................................237
12.1
Nuclear reactions
........................................237
12.2
The first
100
seconds
.....................................240
12.3
The synthesis of light elements
............................246
13
Inflation
...................................................253
13.1
The horizon problem
.....................................254
13.2
Evolution of a universe with a scalar field
...................258
13.3
Chaotic inflation
........................................261
13.4
Discussion
..............................................266
|
| adam_txt |
Contents
1
Introduction
. 1
1.1 Special
relativity
(SR)
.
З
1.2
General
relativity
(GR)
. 10
1.3
The need for
GR
in astrophysics
. 14
2
Geometry of Riemann Spaces
. 19
2.1
Definition
. 19
2.2
The tangent space
. 21
2.3
Tensors
. 23
2.4
Parallel transport and
Christoffel
symbols
. 26
2.5
Geodesies
. 30
2.6
The covariant derivative
. 33
2.7
Riemann tensor and curvature
. 35
3
General Relativity
. 43
3.1
Co-ordinates, metric and motion
. 43
3.2
Weak fields
(1). 47
3.3
Conservation of mass
. 50
3.4
The field equations
. 52
3.5
Weak fields
(2). 56
3.6
Discussion
. 59
4
The
Schwarzschild
Metric
. 65
4.1
Preliminary calculations
. 65
4.2
The
Schwarzschild
metric
. 69
4.3
Geodesies of the
Schwarzschild
metric
. 72
4.4
The classical tests of GR
. 77
4.5
Gravitational lenses
. 82
X
Contents
5
Compact Stars
. 89
5.1
End products of stellar evolution
. 89
5.2
The maximum mass Mc
. 95
5.3
The Tolman-Oppenheimer-Volkoff equation
. 97
5.4
A simple neutron star model
.101
5.5
Realistic neutron star models
.103
6
Black Holes
.109
6.1
Introduction
.109
6.2
Observations
.110
6.3
Elementary properties
.113
6.4
Kruskal-Szekeres co-ordinates
.121
6.5
Rotating black holes: the Kerr metric
.125
6.6
Hawking radiation
.128
7
Gravitational waves
.133
7.1
Small amplitude waves
.133
7.2
The effect of a gravitational wave on test masses
.136
7.3
Generation of gravitational radiation
.138
7.4
Bar detectors
.143
7.5
Interferometer detectors
.145
8
Fermi-Walker Transport
.155
8.1
Transport of accelerated vectors
.155
8.2
Thomas precession
.159
8.3
Geodesic precession
.161
8.4
Gravity Probe
В
.164
9
The Robertson-Walker Metric
.169
9.1
Observations
.169
9.2
Definition of co-ordinates
.174
9.3
Metric and spatial structure
.177
9.4
Equations of motion
.181
9.5
The cosmological constant
.183
9.6
Geodesies
.185
10
The Evolution of the Universe
.189
10.1
Equation of state
.189
10.2
The matter era
.191
10.3
The radiation era
.197
10.4
The formation of structure
.203
Contents
XI
11
Observational Cosmology
.213
11.1
Redshift and distance
.213
11.2
The visible universe and the horizon
.218
11.3
Luminosity distance and Hubble relation
.224
11.4
The microwave background
.228
11.5
Light-cone integrals
.231
12
The Big Bang
.237
12.1
Nuclear reactions
.237
12.2
The first
100
seconds
.240
12.3
The synthesis of light elements
.246
13
Inflation
.253
13.1
The horizon problem
.254
13.2
Evolution of a universe with a scalar field
.258
13.3
Chaotic inflation
.261
13.4
Discussion
.266 |
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| index_date | 2024-07-02T15:52:11Z |
| indexdate | 2024-07-09T20:45:16Z |
| institution | BVB |
| isbn | 1402045212 9781402045219 |
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| spelling | Hoyng, Peter Verfasser aut Relativistic astrophysics and cosmology a primer Peter Hoyng Berlin [u.a.] Springer 2006 XI, 291 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Astronomy and astrophysics library Astrophysique relativiste Cosmologie Cosmology Relativistic astrophysics Relativistische Astrophysik (DE-588)4121581-3 gnd rswk-swf Kosmologie (DE-588)4114294-9 gnd rswk-swf Relativistische Astrophysik (DE-588)4121581-3 s DE-604 Kosmologie (DE-588)4114294-9 s text/html http://deposit.dnb.de/cgi-bin/dokserv?id=2805047&prov=M&dok_var=1&dok_ext=htm Inhaltstext Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015027288&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Hoyng, Peter Relativistic astrophysics and cosmology a primer Astrophysique relativiste Cosmologie Cosmology Relativistic astrophysics Relativistische Astrophysik (DE-588)4121581-3 gnd Kosmologie (DE-588)4114294-9 gnd |
| subject_GND | (DE-588)4121581-3 (DE-588)4114294-9 |
| title | Relativistic astrophysics and cosmology a primer |
| title_auth | Relativistic astrophysics and cosmology a primer |
| title_exact_search | Relativistic astrophysics and cosmology a primer |
| title_exact_search_txtP | Relativistic astrophysics and cosmology a primer |
| title_full | Relativistic astrophysics and cosmology a primer Peter Hoyng |
| title_fullStr | Relativistic astrophysics and cosmology a primer Peter Hoyng |
| title_full_unstemmed | Relativistic astrophysics and cosmology a primer Peter Hoyng |
| title_short | Relativistic astrophysics and cosmology |
| title_sort | relativistic astrophysics and cosmology a primer |
| title_sub | a primer |
| topic | Astrophysique relativiste Cosmologie Cosmology Relativistic astrophysics Relativistische Astrophysik (DE-588)4121581-3 gnd Kosmologie (DE-588)4114294-9 gnd |
| topic_facet | Astrophysique relativiste Cosmologie Cosmology Relativistic astrophysics Relativistische Astrophysik Kosmologie |
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