Index
A
Acceleration, 3, 14, 101, 102, 190
Algebraically special, 36, 38
B
Bitensor, 12
Bivector, 20, 213
complex, 20, 23, 43, 79
eigen, 44
Maxwell, 20, 79
C
Coincidence limit, 12
Congruence
null, 8
time-like, 1
Constant
cosmological, 128, 129, 140, 151
curvature, 128
Contraction, 6
D
Derivative
covariant, 12
Direction
principal null, 27, 35, 86, 139, 147, 213,
233
propagation, 147, 215
Dual, 19
double, 32
E
Equation
biharmonic, 58
general deviation, 17
geodesic deviation, 7, 100
Jacobi, 99
Maxwell, 19, 71, 211, 242
of motion, 170, 183, 184, 198, 202
Robinson, I., 75
vacuum field, 31, 233
Expansion, 6, 11, 64, 85, 128, 158
bitensor, 16
F
Field
Coulomb, 45
electromagnetic, 19, 59, 70, 81, 158, 211
gravitational, 102, 104, 106, 114, 123
Liénard–Wiechert, 51, 60, 156
Maxwell, 53, 57, 71, 158, 164, 171, 208,
241
Frame
rest, 3, 10
Frequency ratio, 108
Function
harmonic, 55, 59, 227, 229
G
Geodesic
null, 28, 53
Gravitational
compass, 99, 106
Gravitational compass, 113
H
Hypersurface
null, 20, 128, 141, 147, 158, 163, 227
space-like, 219
time-like, 108
© The Author(s), under exclusive license to Springer Nature Switzerland AG 2021
P. A. Hogan, D. Puetzfeld, Frontiers in General Relativity, Lecture Notes
in Physics 984, https://doi.org/10.1007/978-3-030-69370-1
245