Index
A
Absolute time, 3–5, 8, 9
Abstract view, 38, 40, 48, 59, 61, 73, 85
Accelerated motion, 11, 23, 25
Accretion disk, 152
Acoustic peaks in CMB, 272
Affine connection, 59–61, 63–66, 70, 73–75,
78, 79, 102, 231
Age of the universe, 236, 239, 244, 248, 252,
262, 270
Arc length, 15, 27, 28, 68–71, 74, 85, 89, 144
B
Basis, 4, 40–44, 46, 48–52, 55, 58, 59, 61,
73, 74, 85, 86, 90, 92, 96, 199, 211,
224, 260
Big bang, 205, 244, 249, 250, 264–266, 269,
271, 277, 281
Binary black holes, 249
Birkhoff theorem, 129
Black hole, 91, 128, 141–145, 147–158, 178,
179, 181, 182, 189, 206, 218, 227,
249, 276, 291, 292, 295, 299–301
Black hole entropy, 156, 158
C
Cartesian, 3, 5, 13, 33, 35, 37, 54, 55, 57,
59–61, 77, 78, 83, 87, 91, 109, 122,
210, 260, 261, 271, 298
Chirp, 176–179, 181, 189, 249
Christoffel connections, 61, 66, 75, 77, 78,
85
Collapse, gravitational, 141
Component, 14, 16, 21, 24, 38, 40–44, 46–
51, 59–61, 73, 74, 81, 85–87, 89–91,
102, 104, 110, 113, 115, 116, 119,
122, 123, 127, 138, 140, 151, 157,
163–167, 169, 172, 174, 185–187,
194, 206, 208, 210–212, 224, 231
Condensation, 277, 278
Conservation of energy-momentum, 172,
195, 198, 201
Contravariant, 15, 17, 18, 39–41, 44, 46–48,
60, 78, 82, 83, 89, 113
Coordinates, 4–6, 13–19, 33–52, 54–64, 67,
71–79, 83, 85, 87–92, 100, 102, 103,
105, 109, 110, 112–115, 121–123,
125, 126, 129, 130, 137, 139, 140,
142, 144–147, 151, 157, 160–162,
164, 169, 188, 207–213, 215–217,
220, 223, 228, 235, 238, 257–261,
269–271, 281–283, 298
Cosmic Microwave Background (CMB),
205, 218, 219, 244, 248–250, 263–
266, 269–273, 275, 277, 279, 281,
286, 289
Cosmological constant, 193, 198–201, 205,
224, 225, 227, 228, 231, 233, 234,
236, 238, 241, 242, 251, 253–255,
259, 282, 286, 290, 291, 296
Cosmology, 38, 55, 117, 120, 123, 150, 193,
198–200, 203, 205, 211, 216, 223,
224, 227, 238, 241, 244, 247, 250,
252, 257, 270, 272, 277, 287, 290
Covariant, 16–18, 22, 39–41, 44–48, 60, 66,
81–89, 91, 92, 110–114, 117, 122,
160, 198, 285, 297, 298
Critical density, 225, 227, 230, 254, 255, 278
© The Editor(s) (if applicable) and The Author(s), under exclusive license
to Springer Nature Switzerland AG 2021
R. J. Adler, General Relativity and Cosmology, Graduate Texts in Physics,
https://doi.org/10.1007/978-3-030-61574-1
309
A
Absolute time, 3–5, 8, 9
Abstract view, 38, 40, 48, 59, 61, 73, 85
Accelerated motion, 11, 23, 25
Accretion disk, 152
Acoustic peaks in CMB, 272
Affine connection, 59–61, 63–66, 70, 73–75,
78, 79, 102, 231
Age of the universe, 236, 239, 244, 248, 252,
262, 270
Arc length, 15, 27, 28, 68–71, 74, 85, 89, 144
B
Basis, 4, 40–44, 46, 48–52, 55, 58, 59, 61,
73, 74, 85, 86, 90, 92, 96, 199, 211,
224, 260
Big bang, 205, 244, 249, 250, 264–266, 269,
271, 277, 281
Binary black holes, 249
Birkhoff theorem, 129
Black hole, 91, 128, 141–145, 147–158, 178,
179, 181, 182, 189, 206, 218, 227,
249, 276, 291, 292, 295, 299–301
Black hole entropy, 156, 158
C
Cartesian, 3, 5, 13, 33, 35, 37, 54, 55, 57,
59–61, 77, 78, 83, 87, 91, 109, 122,
210, 260, 261, 271, 298
Chirp, 176–179, 181, 189, 249
Christoffel connections, 61, 66, 75, 77, 78,
85
Collapse, gravitational, 141
Component, 14, 16, 21, 24, 38, 40–44, 46–
51, 59–61, 73, 74, 81, 85–87, 89–91,
102, 104, 110, 113, 115, 116, 119,
122, 123, 127, 138, 140, 151, 157,
163–167, 169, 172, 174, 185–187,
194, 206, 208, 210–212, 224, 231
Condensation, 277, 278
Conservation of energy-momentum, 172,
195, 198, 201
Contravariant, 15, 17, 18, 39–41, 44, 46–48,
60, 78, 82, 83, 89, 113
Coordinates, 4–6, 13–19, 33–52, 54–64, 67,
71–79, 83, 85, 87–92, 100, 102, 103,
105, 109, 110, 112–115, 121–123,
125, 126, 129, 130, 137, 139, 140,
142, 144–147, 151, 157, 160–162,
164, 169, 188, 207–213, 215–217,
220, 223, 228, 235, 238, 257–261,
269–271, 281–283, 298
Cosmic Microwave Background (CMB),
205, 218, 219, 244, 248–250, 263–
266, 269–273, 275, 277, 279, 281,
286, 289
Cosmological constant, 193, 198–201, 205,
224, 225, 227, 228, 231, 233, 234,
236, 238, 241, 242, 251, 253–255,
259, 282, 286, 290, 291, 296
Cosmology, 38, 55, 117, 120, 123, 150, 193,
198–200, 203, 205, 211, 216, 223,
224, 227, 238, 241, 244, 247, 250,
252, 257, 270, 272, 277, 287, 290
Covariant, 16–18, 22, 39–41, 44–48, 60, 66,
81–89, 91, 92, 110–114, 117, 122,
160, 198, 285, 297, 298
Critical density, 225, 227, 230, 254, 255, 278
© The Editor(s) (if applicable) and The Author(s), under exclusive license
to Springer Nature Switzerland AG 2021
R. J. Adler, General Relativity and Cosmology, Graduate Texts in Physics,
https://doi.org/10.1007/978-3-030-61574-1
309