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Words: 2k
Articles: 74
Table of contents
2k
74
Plane-fronted gravitational wave
General relativity
19
Covariant derivative
General relativity
141
6
Tensor type
Covariant derivative
33
Parallel transport
Covariant derivative
38
1
Parallel transport around a latitude of the unit sphere
Parallel transport
22
Covariant derivative of a covariant tensor
Covariant derivative
9
Levi-Civita connection
Covariant derivative
40
1
Metric compatibility
Levi-Civita connection
17
Riemann curvature tensor
General relativity
325
15
Curvature commutator on a covariant tensor
Riemann curvature tensor
18
Symmetric Hessian of a scalar field
Riemann curvature tensor
10
First Bianchi identity
Riemann curvature tensor
6
Weyl tensor
Riemann curvature tensor
97
2
Trace-free property of the Weyl tensor
Weyl tensor
43
Weyl tensor of a conformally flat metric
Weyl tensor
26
First-pair antisymmetry of the Riemann tensor
Riemann curvature tensor
11
Ricci tensor
Riemann curvature tensor
172
7
Ricci tensor in two dimensions
Ricci tensor
50
1
Two-dimensional general relativity
Ricci tensor in two dimensions
29
Contracted Bianchi identity
Ricci tensor
80
3
Einstein tensor
Contracted Bianchi identity
70
2
Flat FLRW Einstein-tensor divergence
Einstein tensor
44
1
de Sitter scale factor in flat slicing
Flat FLRW Einstein-tensor divergence
16
Schur theorem in pseudo-Riemannian geometry
Ricci tensor
28
Normal coordinates
General relativity
22
Stress-energy tensor
General relativity
93
3
Conserved Klein-Gordon scalar stress-energy ansatz
Stress-energy tensor
19
Weak energy condition
Stress-energy tensor
54
1
Weak energy condition for a quadratic scalar stress-energy ansatz
Weak energy condition
34
Einstein field equations
General relativity
52
2
Trace-reversed Einstein field equations in D dimensions
Einstein field equations
22
1
Ricci curvature sourced by a Klein-Gordon scalar field
Trace-reversed Einstein field equations in D dimensions
12
Linearized gravity
General relativity
192
7
Trace-reversed metric perturbation
Linearized gravity
91
3
Lorenz gauge in linearized gravity
Trace-reversed metric perturbation
73
2
Residual gauge symmetry of linearized gravity
Lorenz gauge in linearized gravity
21
Plane gravitational wave in linearized gravity
Lorenz gauge in linearized gravity
27
Linearized Ricci tensor and scalar
Linearized gravity
21
Newtonian limit of general relativity
Linearized gravity
65
1
Linearized point-mass metric in radial Cartesian form
Newtonian limit of general relativity
33
Schwarzschild spacetime
General relativity
367
15
Radial Weyl curvature of Schwarzschild spacetime
Schwarzschild spacetime
57
1
Tidal gravity and the equivalence principle
Radial Weyl curvature of Schwarzschild spacetime
37
Equatorial null orbit in Schwarzschild spacetime
Schwarzschild spacetime
48
1
Impact parameter
Equatorial null orbit in Schwarzschild spacetime
27
Schwarzschild radius
Schwarzschild spacetime
11
Schwarzschild tortoise coordinate
Schwarzschild spacetime
61
2
Ingoing Eddington-Finkelstein coordinates
Schwarzschild tortoise coordinate
54
1
Radial null trajectories in ingoing Eddington-Finkelstein coordinates
Ingoing Eddington-Finkelstein coordinates
34
Schwarzschild event horizon
Schwarzschild spacetime
24
Gravitational redshift between static Schwarzschild observers
Schwarzschild spacetime
22
Proper acceleration of a static Schwarzschild observer
Schwarzschild spacetime
26
Birkhoff theorem
Schwarzschild spacetime
69
1
Redshifted gravitational mass of a static thin shell
Birkhoff theorem
38
Schwarzschild light deflection
Schwarzschild spacetime
38
1
Perturbative derivation of Schwarzschild light deflection
Schwarzschild light deflection
24
Nordstrom theory of gravitation
General relativity
97
2
Conformally flat metric
Nordstrom theory of gravitation
29
Geodesic equation for a conformally flat metric
Nordstrom theory of gravitation
32
Anti-de Sitter spacetime
General relativity
68
3
Static coordinates on anti-de Sitter spacetime
Anti-de Sitter spacetime
55
2
Radial timelike geodesic in anti-de Sitter spacetime
Static coordinates on anti-de Sitter spacetime
27
Stable circular timelike geodesic in anti-de Sitter spacetime
Static coordinates on anti-de Sitter spacetime
20
Planarity of geodesics in spherical symmetry
General relativity
26
Timelike geodesic effective potential
General relativity
95
3
Effective-potential stability of a circular orbit
Timelike geodesic effective potential
19
Effective potential for timelike Schwarzschild geodesics
Timelike geodesic effective potential
50
1
Schwarzschild perihelion precession
Effective potential for timelike Schwarzschild geodesics
23
Metric tensor
General relativity
26
1
Inverse metric
Metric tensor
10
Two-dimensional hyperbolic metric in polar coordinates
General relativity
64
2
Coordinate geodesics of the hyperbolic polar metric
Two-dimensional hyperbolic metric in polar coordinates
16
Curvature of the two-dimensional hyperbolic polar metric
Two-dimensional hyperbolic metric in polar coordinates
27
Ricci scalar
General relativity
12
Ancestors
(3)
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