246
Index
I
Identity
Bianchi, 36, 47, 88, 216
Ricci, 128
Invariant
quadratic, 20, 25
M
Mass, 61, 63, 156, 162, 189
Momentum
angular, 63, 65
four, 64
O
Observer, 99
P
Parameter
affine, 56
Permutation
symbol, 5, 19
Propagator
Jacobi, 14
parallel, 13
Proper time, 1, 101, 108, 189, 219, 221
R
Radiation
electromagnetic, 20, 71, 212, 215
gravitational, 85, 137
Rotation
null, 26
S
Scalar
Newman-Penrose, 35, 146, 152, 157
Ricci, 31, 62, 128
Space-time
de Sitter, 129, 140, 152
Kerr, 38, 62
Kerr–Newman, 46
Kerr–Schild, 42, 61, 62, 237
Khan–Penrose, 149
Minkowskian, 51, 69, 107, 128, 154, 189,
219
Ozsváth, 140
Ozsváth-Robinson-Rózga, 131, 135, 138
Reissner–Nordström, 156, 189
Robinson–Trautman, 187, 193
Schwarzschild, 61
Vaidya, 61
T
Tensor
Bel–Robinson, 88
Einstein, 62
electromagnetic energy, 76, 166, 171, 188,
203, 214
energy-momentum, 27, 47, 64
projection, 3, 183, 195, 197
Ricci, 31, 61, 151, 167, 189, 215
Riemann curvature, 31, 85, 102, 111, 114,
127, 146, 152
shear, 7, 11, 28, 64, 85, 89, 128, 158, 234,
235
twist, 5, 11, 128
Weyl curvature, 30, 85, 94, 104, 137, 152,
215
Tetrad
complex null, 22
half null, 156, 157, 188
null, 9, 21, 35, 40
orthonormal, 21, 111, 213
Transport
Fermi, 6, 222
law, 3
parallel, 8
V
Vector
complex null, 8
connecting, 13
electric, 20
generalized connecting, 13
infinitesimal connecting, 2
magnetic, 20
null, 21, 86, 157
orthogonal connecting, 3
rigid rotation, 5, 222
vorticity, 5
Velocity, 2, 101, 190
W
Wave
Bateman, 77, 82, 92
electromagnetic, 59, 82
gravitational, 93, 123, 124, 137, 146, 152,
227, 232
World function, 11