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searching for Tensor field 57 found (206 total)

Nonsymmetric gravitational theory (573 words) [view diff] exact match in snippet view article find links to article

symmetric rank-2 tensor field (gravity), an antisymmetric tensor field, and a constant characterizing the mass of the antisymmetric tensor field. The antisymmetric

Unified field theory (1,634 words) [view diff] exact match in snippet view article find links to article

fermionic particles such as electrons, and tensor fields such as the metric tensor field that describes the shape of spacetime and gives rise to gravitation in

Scalar theories of gravitation (1,407 words) [view diff] exact match in snippet view article find links to article

theory, in which the gravitational interaction is described using a tensor field. The prototypical scalar theory of gravitation is Newtonian gravitation

Kalb–Ramond field (464 words) [view diff] exact match in snippet view article find links to article

quantum field that transforms as a two-form, i.e., an antisymmetric tensor field with two indices. The adjective "NS" reflects the fact that in the RNS

Tensor derivative (continuum mechanics) (9,088 words) [view diff] exact match in snippet view article

{T}}(\mathbf {x} +\alpha \mathbf {c} )} The gradient of a tensor field of order n is a tensor field of order n+1. If e 1 , e 2 , e 3 {\displaystyle \mathbf

Teleparallelism (2,612 words) [view diff] exact match in snippet view article find links to article

characterized by a curvature-free linear connection in conjunction with a metric tensor field, both defined in terms of a dynamical tetrad field. The crucial new idea

Stewart–Walker lemma (548 words) [view diff] exact match in snippet view article find links to article

necessary and sufficient conditions for the linear perturbation of a tensor field to be gauge-invariant. Δ δ T = 0 {\displaystyle \Delta \delta T=0} if

Adhémar Barré de Saint-Venant (616 words) [view diff] exact match in snippet view article find links to article

compatibility condition, the integrability conditions for a symmetric tensor field to be a strain. In 1843 he published the correct derivation of the Navier–Stokes

Upper-convected time derivative (655 words) [view diff] exact match in snippet view article find links to article

{\triangledown }{\mathbf {A} }}} is the upper-convected time derivative of a tensor field A {\displaystyle \mathbf {A} } D D t {\displaystyle {\frac {D}{Dt}}}

Curl (mathematics) (5,050 words) [view diff] exact match in snippet view article

vector calculus; on the other hand, when expressed as an antisymmetric tensor field via the wedge operator of geometric calculus, the curl generalizes to

Codazzi tensor (546 words) [view diff] exact match in snippet view article find links to article

3 {\displaystyle n\geq 3} , let T {\displaystyle T} be a symmetric 2-tensor field, and let ∇ {\displaystyle \nabla } be the Levi-Civita connection. We

Ryan Rohm (451 words) [view diff] exact match in snippet view article find links to article

Carolina at Chapel Hill. Rohm, R; Witten, E (1986). "The antisymmetric tensor field in superstring theory". Annals of Physics. 170 (2). Elsevier BV: 454–489

Longitudinal ray transform (337 words) [view diff] exact match in snippet view article find links to article

d g {\displaystyle f=dg} , the symmetrized derivative of a rank m-1 tensor field g {\displaystyle g} , satisfies I f = 0 {\displaystyle If=0} . More generally

Ricci decomposition (2,269 words) [view diff] exact match in snippet view article find links to article

pseudo-Riemannian n-manifold. Consider its Riemann curvature, as a (0,4)-tensor field. This article will follow the sign convention R i j k l = g l p ( ∂ i

Gauss curvature flow (1,076 words) [view diff] exact match in snippet view article find links to article

be viewed as a symmetric 2-tensor field on S. Via the first fundamental form, it can also be viewed as a (1,1)-tensor field on S, where it is known as

Double tangent bundle (1,683 words) [view diff] exact match in snippet view article find links to article

M) is any vector bundle with the canonical vector field V and a (1,1)-tensor field J that satisfies the properties listed above, with VE in place of VTM

Duncan Haldane (1,187 words) [view diff] exact match in snippet view article find links to article

"composite boson", described by a "unimodular" (determinant 1) spatial metric-tensor field as the fundamental collective degree of freedom of Fractional quantum

Virtual black hole (616 words) [view diff] exact match in snippet view article find links to article

A small region of Riemannian space is close to flat space. For any tensor field N μ ν . . . {\displaystyle N_{\mu \nu ...}} , we may call N μ ν . .

Curvilinear coordinates (8,311 words) [view diff] exact match in snippet view article find links to article

Curvilinear Coordinates Wikiversity:Introduction to Elasticity/Tensors#The divergence of a tensor field – Wikiversity, Introduction to Elasticity/Tensors.

Classification of electromagnetic fields (1,119 words) [view diff] exact match in snippet view article find links to article

electromagnetic field is represented by a skew-symmetric second rank tensor field (the electromagnetic field tensor) so we immediately obtain an algebraic

Surface integral (2,248 words) [view diff] exact match in snippet view article find links to article

electromagnetism and fluid mechanics. Assume that f is a scalar, vector, or tensor field defined on a surface S. To find an explicit formula for the surface integral

Stress–strain analysis (4,293 words) [view diff] exact match in snippet view article find links to article

partial differential equations that relate the stress tensor field to the strain tensor field as unknown functions to be determined. Solving for either

Complex lamellar vector field (1,108 words) [view diff] exact match in snippet view article find links to article

the metric, as requiring that the totally anti-symmetric part of the 3-tensor field ωi∇j ωk is zero. Using a different formulation of the Frobenius theorem

Generalizations of the derivative (3,560 words) [view diff] exact match in snippet view article find links to article

near a point. The Lie derivative is the rate of change of a vector or tensor field along the flow of another vector field. On vector fields, it is an example

Spacetime symmetries (1,519 words) [view diff] exact match in snippet view article find links to article

values at each point in space and time Killing tensor – symmetric (0,2)-tensor field T such that the total symmetrization of its covariant derivative vanishesPages

Yvonne Choquet-Bruhat (2,133 words) [view diff] exact match in snippet view article find links to article

manifold, g is a smooth Riemannian metric on M, and k is a smooth (0,2)-tensor field on M. Given an initial data set (M, g, k), a development of (M, g, k)

Exact solutions in general relativity (3,329 words) [view diff] exact match in snippet view article find links to article

{\displaystyle \kappa } declare the resulting symmetric second rank tensor field to be the stress–energy tensor T α β {\displaystyle T^{\alpha \beta }}

Minkowski space (10,493 words) [view diff] exact match in snippet view article find links to article

metric A full-blown version of the Minkowski metric in coordinates as a tensor field on spacetime has the appearance η μ ν d ⁡ x μ ⊗ d ⁡ x ν = η μ ν d ⁡ x

Horndeski's theory (1,000 words) [view diff] exact match in snippet view article find links to article

relativity Horndeski, Gregory Walter (1974-09-01). "Second-order scalar-tensor field equations in a four-dimensional space". International Journal of Theoretical

N = 4 supersymmetric Yang–Mills theory (2,062 words) [view diff] exact match in snippet view article find links to article

needs to start from a gauge field of spin higher than 1, e.g., a spin-2 tensor field such as that of the graviton. This is the N = 8 supergravity theory.

Stress–energy–momentum pseudotensor (2,059 words) [view diff] exact match in snippet view article find links to article

the pseudotensor is quadratic in the first derivatives of the metric tensor field. However it is not symmetric, and is therefore not suitable as a basis

Freund–Rubin compactification (939 words) [view diff] exact match in snippet view article find links to article

relativity in d spacetime dimensions. In the presence of an antisymmetric tensor field (without external sources), the Einstein field equations, and the equations

Parameterized post-Newtonian formalism (3,338 words) [view diff] exact match in snippet view article find links to article

{\displaystyle \phi } , vector field K μ {\displaystyle K_{\mu }} , tensor field B μ ν {\displaystyle B_{\mu \nu }} and so on; (b) prior-geometrical variables

Time dependent vector field (1,013 words) [view diff] exact match in snippet view article find links to article

identity, assuming that η {\displaystyle \eta } is a smooth time dependent tensor field: d d t | t = t 1 ( F t , t 0 ∗ η t ) p = ( F t 1 , t 0 ∗ ( L X t 1 η

Bimetric gravity (3,398 words) [view diff] exact match in snippet view article find links to article

Since the difference of two connections is a tensor, one can define the tensor field Δ j k i {\displaystyle \Delta _{jk}^{i}} given by: Two kinds of covariant

AdvertCity (1,443 words) [view diff] exact match in snippet view article find links to article

or rural etc); the result is something that has the subtlety of the tensor field system, yet generates much larger cities than are feasible with the L-system

Gregory Horndeski (369 words) [view diff] exact match in snippet view article find links to article

2022. Horndeski, Gregory Walter (1974-09-01). "Second-order scalar-tensor field equations in a four-dimensional space". International Journal of Theoretical

Stress functions (998 words) [view diff] exact match in snippet view article find links to article

{\displaystyle \Phi _{mn}} is a symmetric but otherwise arbitrary second-rank tensor field that is at least twice differentiable, and is known as the Beltrami stress

Conformal field theory (7,031 words) [view diff] exact match in snippet view article find links to article

matter fields) is a mean field theory built out of an antisymmetric tensor field F μ ν {\displaystyle F_{\mu \nu }} with scaling dimension ⁠ Δ = 2 {\displaystyle

Goldstone boson (3,733 words) [view diff] exact match in snippet view article find links to article

broken, the order parameter need not be a scalar field, but may be a tensor field, and the number of independent massless modes may be fewer than the number

Hyperbolic geometry (6,970 words) [view diff] exact match in snippet view article find links to article

from the formulas about hyperbolic triangles. The corresponding metric tensor field is: ( d s ) 2 = cosh 2 ⁡ y ( d x ) 2 + ( d y ) 2 {\displaystyle (\mathrm

Klein–Gordon equation (6,563 words) [view diff] no match in snippet view article find links to article

}=\partial _{\mu }A_{\nu }-\partial _{\nu }A_{\mu }} is known as the Maxwell tensor, field strength or curvature depending on viewpoint. This theory is often known

Amira (software) (3,704 words) [view diff] exact match in snippet view article

visualization of simulation mesh-based results, using scalar, vector, and tensor field display modules Reconstruction and analysis of neural and vascular networks

Frame fields in general relativity (5,003 words) [view diff] exact match in snippet view article find links to article

gravitational potential U {\displaystyle U} . Using tensor notation for a tensor field defined on three-dimensional euclidean space, this can be written Φ i

Fracton (subdimensional particle) (6,280 words) [view diff] exact match in snippet view article

A_{ij}+\partial _{i}\partial _{j}\alpha } . This shows how a symmetric tensor field couples to scalar fractonic matter fields. The U(1) scalar charge theory

List of Star Wars spacecraft (11,585 words) [view diff] exact match in snippet view article find links to article

perimeter field sensors which detect land mines and other hazards. Powerful tensor field generators bind the removable wings to the vessel while "repulsorlifts"

Linear elasticity (8,585 words) [view diff] exact match in snippet view article find links to article

equation of motion for elastodynamics) allow the calculation of the stress tensor field. Once the stress field has been calculated from these equations, the

Carter constant (2,666 words) [view diff] exact match in snippet view article find links to article

order symmetry of the Kerr metric generated by a second order Killing tensor field K {\displaystyle K} (different K {\displaystyle K} than used above).

Positive energy theorem (3,567 words) [view diff] exact match in snippet view article find links to article

data set consists of a Riemannian manifold (M, g) and a symmetric 2-tensor field k on M. One says that an initial data set (M, g, k): is time-symmetric

Massive gravity (8,981 words) [view diff] no match in snippet view article find links to article

ISSN 0218-2718. Maheshwari, A. (March 1972). "Spin-2 field theories and the tensor-field identity". Il Nuovo Cimento A. 8 (2): 319–330. Bibcode:1972NCimA...8

EarthScope (4,457 words) [view diff] exact match in snippet view article find links to article

strainometers. GSRM is a digital model of the global velocity gradient tensor field associated with the accommodation of present-day crustal motions. The

Critical three-state Potts model (1,747 words) [view diff] exact match in snippet view article find links to article

}}\sim T(z)+{\bar {T}}({\bar {z}})} , the dimension-2 stress-energy tensor field. Z j ( 2 − 3 ω 2 X j − 3 ω X j 2 ) − 2 Z j † ( Z j − 1 † + Z j + 1 †

Rock mass plasticity (3,782 words) [view diff] exact match in snippet view article find links to article

field, S {\displaystyle {\boldsymbol {S}}} is a symmetric second-order tensor field, and e i {\displaystyle \mathbf {e} _{i}} are the components of an orthonormal

Tetradic Palatini action (4,657 words) [view diff] exact match in snippet view article find links to article

{\displaystyle {C_{\alpha I}}^{J}=0.} First we define the spacetime tensor field by S α β γ := C α I J e β I e γ J . {\displaystyle S_{\alpha \beta \gamma

Alternatives to general relativity (15,207 words) [view diff] exact match in snippet view article find links to article

Belinfante and Swihart. The result is known as BSLL theory. Given a tensor field B μ ν {\displaystyle B_{\mu \nu }\,} , B = B μ ν η μ ν {\displaystyle

4D N = 1 global supersymmetry (4,793 words) [view diff] exact match in snippet view article find links to article

{m}}\varphi ^{n}=0} , implying a complex manifold. Any complex manifold has a tensor field J {\displaystyle J} satisfying J 2 = − 1 {\displaystyle J^{2}=-1} , which

4D N = 1 supergravity (11,046 words) [view diff] exact match in snippet view article find links to article

redefinition transformations as a vector on the scalar manifold. The tensor field J {\displaystyle J} , defined by J 2 = − 1 {\displaystyle J^{2}=-1}