relativity, the tidal tensor represents tidal accelerations of a cloud of (electrically neutral, nonspinning) test particles, tidal stresses in a small...

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...

Amphidromic point Disrupted planet Galactic tide Tidal resonance Tidal stripping Tidal tensor Spacetime curvature "Hubble Views a Cosmic Interaction". nasa...

mathematical field of differential geometry, the Riemann curvature tensor or Riemann–Christoffel tensor (after Bernhard Riemann and Elwin Bruno Christoffel) is the...

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 ]...

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...

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...

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 =...

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...

between the objects. Mathematically, the tidal force in general relativity is described by the Riemann curvature tensor, and the trajectory of an object solely...

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...

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...

gravitational plane wave in Nordström's theory. (The tidal tensor and expansion tensor are three-dimensional tensors which "live" in the hyperplane elements orthogonal...

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...

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...

spatial gradient of gravitational acceleration. The gravity gradient tensor is a 3x3 tensor representing the partial derivatives, along each coordinate axis...

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...

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...

second order stress–energy tensor, as opposed to the source of the electromagnetic field being the first order four-current tensor. This difference becomes...

computer hardware market. On May 26, 1995, Bill Gates sent the "Internet Tidal Wave" memorandum to Microsoft executives. The memo described Netscape with...

the Riemann tensor and in particular the tidal tensor in general relativity. He gave the first correct description of the relative (tidal) acceleration...

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...

vector fields, tensor fields, and spinor fields. In physics, fermions are described by spinor fields. Bosons are described by tensor fields, which include...

relativity Basic introduction to the mathematics of curved spacetime Tidal tensor Frame fields in general relativity [1] Einstein, A. (1961). Relativity:...

Tension (physics) Tensometer Tensor Tensor calculus Tensor density Tensor field Tensors in curvilinear coordinates Tensor–vector–scalar gravity Tephigram...

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...

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...

someday. The Weatherman demands $20 million or he will engulf New Metro in a tidal wave. He attacks the Watchtower using a heat ray. The JLA escape and devise...

discovered the extraordinary fourth constant of motion and the Killing–Yano tensor. Together with Werner Israel and Stephen Hawking, he proved partially the...

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...