relativity, the tidal tensor represents tidal accelerations of a cloud of (electrically neutral, nonspinning) test particles, tidal stresses in a small...
7 KB (1,330 words) - 01:30, 12 March 2024
Riemann curvature tensor, the Weyl tensor expresses the tidal force that a body feels when moving along a geodesic. The Weyl tensor differs from the Riemann...
10 KB (1,742 words) - 17:55, 29 January 2024
Amphidromic point Disrupted planet Galactic tide Tidal resonance Tidal stripping Tidal tensor Spacetime curvature "Hubble Views a Cosmic Interaction". nasa...
23 KB (2,764 words) - 09:18, 30 September 2024
mathematical field of differential geometry, the Riemann curvature tensor or Riemann–Christoffel tensor (after Bernhard Riemann and Elwin Bruno Christoffel) is the...
19 KB (2,929 words) - 14:09, 28 September 2024
Congruence (general relativity) (redirect from Vorticity tensor)
decomposition of the Riemann tensor, taken with respect to our timelike unit vector field, the electrogravitic tensor (or tidal tensor) is defined by: E [ X...
15 KB (2,758 words) - 12:07, 7 November 2023
coframe can now be computed. For example, the tidal tensor for our static observers is defined using tensor notation (for a coordinate basis) as E [ X ]...
27 KB (4,996 words) - 22:40, 6 December 2023
the shear tensor σ a b = θ a b − 1 3 θ h a b {\displaystyle \sigma _{ab}=\theta _{ab}-{\frac {1}{3}}\,\theta \,h_{ab}} and the vorticity tensor ω a b =...
11 KB (1,756 words) - 21:34, 3 May 2023
Ricci curvature (redirect from Ricci curvature tensor)
relationship between the Ricci tensor and the matter content of the universe. Like the metric tensor, the Ricci tensor assigns to each tangent space of...
34 KB (5,859 words) - 04:51, 6 July 2024
any non-gravitational fields is described by the energy–momentum tensor (or matter tensor) T a b {\displaystyle T^{ab}} . However, the Einstein field equation...
16 KB (2,326 words) - 06:24, 20 May 2024
Bel decomposition (redirect from Electrogravitic tensor)
electrogravitic tensor E [ X → ] a b = R a m b n X m X n {\displaystyle E[{\vec {X}}]_{ab}=R_{ambn}\,X^{m}\,X^{n}} Also known as the tidal tensor. It can be...
3 KB (484 words) - 19:22, 28 January 2023
between the objects. Mathematically, the tidal force in general relativity is described by the Riemann curvature tensor, and the trajectory of an object solely...
6 KB (789 words) - 16:20, 13 January 2024
Gödel metric (category Metric tensors)
the tidal forces in more detail, the Bel decomposition of the Riemann tensor can be computed into three pieces, the tidal or electrogravitic tensor (which...
25 KB (3,884 words) - 17:50, 5 September 2024
gravitational plane wave in Nordström's theory. (The tidal tensor and expansion tensor are three-dimensional tensors which "live" in the hyperplane elements orthogonal...
38 KB (6,686 words) - 07:18, 5 April 2024
Tension (physics) Tensometer Tensor Tensor calculus Tensor density Tensor field Tensors in curvilinear coordinates Tensor–vector–scalar gravity Tephigram...
19 KB (2,022 words) - 23:09, 25 September 2024
Petrov classification (category Tensors in general relativity)
independently by Felix Pirani in 1957. We can think of a fourth rank tensor such as the Weyl tensor, evaluated at some event, as acting on the space of bivectors...
17 KB (2,699 words) - 02:03, 25 May 2024
computes the stress–energy tensor Tab for the given electromagnetic field, compute the Einstein tensor Gab for the given metric tensor, one finds that the Einstein...
19 KB (3,519 words) - 06:43, 29 May 2024
energy–momentum tensor and the Petrov classification of the Weyl tensor. There are various methods of classifying these tensors, some of which use tensor invariants...
42 KB (7,038 words) - 22:45, 23 August 2024
Gravity gradiometry (redirect from Gravity gradient tensor)
spatial gradient of gravitational acceleration. The gravity gradient tensor is a 3x3 tensor representing the partial derivatives, along each coordinate axis...
12 KB (1,378 words) - 02:46, 5 September 2024
second order stress–energy tensor, as opposed to the source of the electromagnetic field being the first order four-current tensor. This difference becomes...
29 KB (3,461 words) - 00:14, 24 September 2024
magnitude of the vorticity vector becomes simply a {\displaystyle a} . The tidal tensor is E m ^ n ^ = a 2 exp ( a 2 r 2 ) diag ( 0 , 1 , 1 ) {\displaystyle...
11 KB (2,068 words) - 18:38, 22 May 2024
History of Microsoft (redirect from Internet Tidal Wave memo)
computer hardware market. On May 26, 1995, Bill Gates sent the "Internet Tidal Wave" memorandum to Microsoft executives. The memo described Netscape with...
125 KB (11,673 words) - 07:45, 28 September 2024
the Riemann tensor and in particular the tidal tensor in general relativity. He gave the first correct description of the relative (tidal) acceleration...
17 KB (2,095 words) - 16:52, 17 August 2024
field equation for gravity relates this tensor and the Ricci tensor, which describes a particular class of tidal effects: the change in volume for a small...
193 KB (22,609 words) - 19:08, 28 September 2024
vector fields, tensor fields, and spinor fields. In physics, fermions are described by spinor fields. Bosons are described by tensor fields, which include...
35 KB (5,951 words) - 16:28, 19 June 2024
relativity Basic introduction to the mathematics of curved spacetime Tidal tensor Frame fields in general relativity [1] Einstein, A. (1961). Relativity:...
19 KB (2,939 words) - 14:50, 22 July 2023
T_{\mu \nu },} the stress–energy tensor. Fig. 5-5 classifies the various sources of gravity in the stress–energy tensor: T 00 {\displaystyle T^{00}} (red):...
45 KB (5,646 words) - 10:15, 25 September 2024
as an anti-symmetric second order tensor, with components ωij. The relation between the two anti-symmetric tensors is given by the moment of inertia which...
93 KB (13,467 words) - 00:22, 24 September 2024
Radiation stress (redirect from Radiation stress tensor)
mean flow. The radiation stresses behave as a second-order tensor. The radiation stress tensor describes the additional forcing due to the presence of the...
21 KB (3,159 words) - 18:46, 20 June 2024
also second order antisymmetric tensor. The electromagnetic field tensor is another second order antisymmetric tensor field, with six components: three...
187 KB (25,172 words) - 00:24, 24 September 2024
curvature scalar and the Ricci curvature tensor are both zero. Non-zero components of the Riemann curvature tensor are R t r r t = 2 R θ r θ r = 2 R ϕ r...
38 KB (5,056 words) - 22:30, 11 September 2024