Index
311
H
Halo, dark matter, 226
Hawking radiation, 153, 156–158, 291, 292,
301
Homogeneous, 63, 133, 206–210, 220, 244,
279, 285
Horizon, 145, 151, 238, 257, 259, 262, 270,
279, 281–284, 286–288, 296, 301
Horizon puzzle, 269, 270, 273, 279, 281–284
Hubble constant Ho, 182, 204–206, 214–
220, 225, 226, 235, 247–251, 262,
272, 290
Hubble law, 205, 214, 216
Hubble length, 287–289
Hypersphere, 207, 217, 257
Hypersphere, pseudo-hypersphere, 217, 220
I
Index, 16, 17, 34, 41, 44, 47–50, 56, 72, 73,
84, 91, 113, 114, 116, 122, 123, 167,
174, 194, 223, 231, 298, 299
Index juggling, 34, 44, 65, 82
Inflation, 205, 231, 244, 249, 250, 270, 279,
281–290, 293, 295, 296
Inflaton field, 276, 284–287, 290, 302
Inner product, 17, 18, 24, 40–42, 44, 64–66,
74, 83, 146
Invariant, 13–15, 17–24, 36, 38, 40, 41, 45,
46, 53, 55, 69, 77, 85, 88, 89, 91, 92,
121, 134, 160, 238
Isotropic, 129, 137, 139, 164, 205–210, 220,
244, 269, 270, 279, 281, 285
Isotropic Schwarzschild metric, 140
K
Kepler, Johannes, 291
Kerr metric, 148, 150–152
L
Ladder method, 219, 249
Lagrangian, 70, 76, 77, 79, 129, 130, 134,
135, 168, 284, 285, 297, 298, 302
Laplacian, 87–89, 91, 92, 163, 285, 298
Laser Interferometric Gravitational Observatory (LIGO), 138, 180–182, 219,
251
Last scattering surface, 283
Length contraction, 8–10
Lepton, 275, 276, 279, 286
Levi-Cevita symbol, epsilon, 91, 92
Light cone, 13, 14, 18–20, 27, 145–147, 157,
257–259, 261, 269
Light, speed, 4–6, 13, 97, 182, 257, 259, 269,
273
Linearized theory, 129, 139, 159
Line element, 20, 27, 34–38, 41, 45, 49, 52,
55, 57, 67–71, 77, 79, 91, 103, 126–
129, 134, 135, 139, 142, 145, 146,
164, 165, 168, 170, 188, 194, 207,
213, 259, 261
Lorentz group, 13, 15, 17, 18, 45, 52
Lorentz transformation, 5, 7–9, 11–13, 15,
17, 18, 22, 23, 39, 97
M
Metric, 14, 16, 18, 28, 29, 34–36, 38, 40, 41,
43, 45, 47–58, 65, 66, 68, 71, 73, 75,
78, 79, 84–88, 91, 92, 102–106, 109–
113, 115, 116, 119, 120, 122–130,
138–141, 145, 146, 149–151, 159–
161, 163–169, 172, 174, 175, 188,
189, 196, 198, 207–212, 216, 217,
220, 221, 223, 260–262, 285, 297,
298
Momentum, 19, 21–23, 28, 29, 120, 150,
151, 155, 172, 194–198, 201, 293,
294, 300
Muon, 9
N
Neutrino, 201, 219, 227, 272, 275, 277–279
Neutron, 148, 149, 276, 278
Neutron star, 138, 149, 152, 153, 158, 178,
179, 182, 189, 206, 218, 249, 250,
276
Newton, 3–5, 78, 95, 96, 98, 102, 117, 170,
196, 197, 201
Newtonian gravity, 95, 96, 102, 120, 121,
137, 242, 245
Newtonian mechanics, 67
N-trads, 49–51
Nuclei, 153, 275–279
Nucleon, 250, 275–279
Null surface, 145, 147, 148, 151
O
Observable universe, 219, 257, 258, 262, 281
Observational tests, 129, 137, 139, 180, 279,
289
One-way membrane, 145, 147, 151
Orbit of a planet, 129, 132, 134
311
H
Halo, dark matter, 226
Hawking radiation, 153, 156–158, 291, 292,
301
Homogeneous, 63, 133, 206–210, 220, 244,
279, 285
Horizon, 145, 151, 238, 257, 259, 262, 270,
279, 281–284, 286–288, 296, 301
Horizon puzzle, 269, 270, 273, 279, 281–284
Hubble constant Ho, 182, 204–206, 214–
220, 225, 226, 235, 247–251, 262,
272, 290
Hubble law, 205, 214, 216
Hubble length, 287–289
Hypersphere, 207, 217, 257
Hypersphere, pseudo-hypersphere, 217, 220
I
Index, 16, 17, 34, 41, 44, 47–50, 56, 72, 73,
84, 91, 113, 114, 116, 122, 123, 167,
174, 194, 223, 231, 298, 299
Index juggling, 34, 44, 65, 82
Inflation, 205, 231, 244, 249, 250, 270, 279,
281–290, 293, 295, 296
Inflaton field, 276, 284–287, 290, 302
Inner product, 17, 18, 24, 40–42, 44, 64–66,
74, 83, 146
Invariant, 13–15, 17–24, 36, 38, 40, 41, 45,
46, 53, 55, 69, 77, 85, 88, 89, 91, 92,
121, 134, 160, 238
Isotropic, 129, 137, 139, 164, 205–210, 220,
244, 269, 270, 279, 281, 285
Isotropic Schwarzschild metric, 140
K
Kepler, Johannes, 291
Kerr metric, 148, 150–152
L
Ladder method, 219, 249
Lagrangian, 70, 76, 77, 79, 129, 130, 134,
135, 168, 284, 285, 297, 298, 302
Laplacian, 87–89, 91, 92, 163, 285, 298
Laser Interferometric Gravitational Observatory (LIGO), 138, 180–182, 219,
251
Last scattering surface, 283
Length contraction, 8–10
Lepton, 275, 276, 279, 286
Levi-Cevita symbol, epsilon, 91, 92
Light cone, 13, 14, 18–20, 27, 145–147, 157,
257–259, 261, 269
Light, speed, 4–6, 13, 97, 182, 257, 259, 269,
273
Linearized theory, 129, 139, 159
Line element, 20, 27, 34–38, 41, 45, 49, 52,
55, 57, 67–71, 77, 79, 91, 103, 126–
129, 134, 135, 139, 142, 145, 146,
164, 165, 168, 170, 188, 194, 207,
213, 259, 261
Lorentz group, 13, 15, 17, 18, 45, 52
Lorentz transformation, 5, 7–9, 11–13, 15,
17, 18, 22, 23, 39, 97
M
Metric, 14, 16, 18, 28, 29, 34–36, 38, 40, 41,
43, 45, 47–58, 65, 66, 68, 71, 73, 75,
78, 79, 84–88, 91, 92, 102–106, 109–
113, 115, 116, 119, 120, 122–130,
138–141, 145, 146, 149–151, 159–
161, 163–169, 172, 174, 175, 188,
189, 196, 198, 207–212, 216, 217,
220, 221, 223, 260–262, 285, 297,
298
Momentum, 19, 21–23, 28, 29, 120, 150,
151, 155, 172, 194–198, 201, 293,
294, 300
Muon, 9
N
Neutrino, 201, 219, 227, 272, 275, 277–279
Neutron, 148, 149, 276, 278
Neutron star, 138, 149, 152, 153, 158, 178,
179, 182, 189, 206, 218, 249, 250,
276
Newton, 3–5, 78, 95, 96, 98, 102, 117, 170,
196, 197, 201
Newtonian gravity, 95, 96, 102, 120, 121,
137, 242, 245
Newtonian mechanics, 67
N-trads, 49–51
Nuclei, 153, 275–279
Nucleon, 250, 275–279
Null surface, 145, 147, 148, 151
O
Observable universe, 219, 257, 258, 262, 281
Observational tests, 129, 137, 139, 180, 279,
289
One-way membrane, 145, 147, 151
Orbit of a planet, 129, 132, 134