Metric tensor (general relativity)
The Small Deformation Strain Tensor as a Fundamental Metric Tensor
... fundamental metric tensor plays a special role, which has its physical basis in the peculiar aspects of ...strain tensor, which describes the geometrical properties of any region deformed because of ...
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Gauge Invariance, the Quantum Metric Tensor and the Quantum Fidelity
... quantum metric tensor (QMT) was to define a distance in the system’s parameter space [1] and recently it has been shown that this metric tensor can be obtained using the renormalization flow ...
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The General Equation of Motion in a Gravitational Field Based Upon the Golden Metric Tensor
... golden metric tensor g D is the generalized radial gravitational intensity g θ is the generalized polar angle gravitational intensity g F is the generalized azimuthal angle gravitational intensity g is the ...
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The Quantization Relations for the Metric Tensor of Gravitons
... small metric tensor gradients is taken respect to the quantum microscopic scale (but not the classical macroscopic scale) and it is free from the requirement of decoherence condition typical of the ...
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Gedanken Experiment for Refining the Unruh Metric Tensor Uncertainty Principle via Schwarzschild Geometry and Planckian Space Time with Initial Nonzero Entropy and Applying the Riemannian Penrose Inequality and Initial Kinetic Energy for a Lower Bound to Graviton Mass (Massive Gravity)
... space-time metric Heisenberg Uncertainty Principle with the generalized uncertainty principle in quantum ...new Metric tensor uncertainty principle presages as far as avoiding the Bicep 2 mistake, ...
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ANALYSIS OF SOME METRIC SOLUTION WITH GEOMETRIC FORM
... . Metric tensor is involved in theories of gravitational ...special metric solution discovered by karl Schwarzschild in 1916, describes the gravitational field outside a spherically symmetric, ...
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To the Complete Set of Equations for a Static Problem of General Relativity
... the metric tensor in four-dimensional Rie- mannian ...the metric tensor. As known, the metric tensor of the Euclidean space must satisfy the Lame ...
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Gyrokinetic Vlasov Code Including Full Three-dimensional Geometry of Experiments
... the metric tensor components of the Boozer coordinates, while the di ff erence between the zonal flow responses obtained by the GKV and GKV-X codes is found to be small in the core LHD ...
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Dislocation Density Tensor of Thin Elastic Shells at Finite Deformation
... Abstract The dislocation density tensors of thin elastic shells have been for- mulated explicitly in terms of the Riemann curvature tensor. The formulation reveals that the dislocation density of the shells is ...
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Index of Quasiconformally Symmetric Semi Riemannian Manifolds
... ric tensor in a Riemannian ...nonsingular tensor in a real-space form is always proportional to the Riemannian ...parallel tensor not necessarily symmetric in a real-space form of dimension greater ...
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Artificial viscosity in comoving curvilinear coordinates: towards a differential geometrically consistent implicit advection scheme
... the metric tensor itself is not only a function of space but also time-dependent (as dis- cussed in Section ), the latter approach reaches its ...the metric tensor does not need to be ...
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Formulation of the Post Newtonian Equations of Motion of the Restricted Three Body Problem
... noting to highlight some important articles in this field. Krefetz [6] computed the post-Newtonian deviations of the triangular Lagrangian points from their classical positions in a fixed frame of reference for the first ...
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Riemannian Acceleration in Oblate Spheroidal Coordinate System
... The planetary bodies are more of a spheroid than they are a sphere thereby making it necessary to describe motions in a spheroidal coordinate system. Using the oblate spheroidal coordinate sys- tem, a more approximate ...
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Vol 2, No 12 (2011)
... An n-dimensional differential manifold having an anti-symmetric connection and anti-symmetric metric tensor preserved by is called generalized Weyl space [4].!. Definition: 2.3 If [r] ...
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Certain Results on η-RICCI Solitions in α-Sasakian Manifolds
... In the present paper, we study α-Sasakian η-Ricci solitons. The paper is organised as follows: Section 2 is devoted to preliminaries on α-Sasakian manifolds. In section 3, It is shown that a symmetric parallel second ...
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Fundamental Metric Tensors Fields on Riemannian Geometry with Applications to Integration of Tensor fields
... he metric tensor is called positive-definite it assigns a positive vault every non-zero vector , a manifold equipped with a positive define metric tensor is a known a Riemannian manifold , ...
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Gravitons into Gravitational Field
... Therefore in the Einstein’s Equation (17) the right part of the equation de- pendent on mass creating a gravitational field should be subject to quantization only. The time is not quantized value. Apparently are not ...
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On the hypersurface of randers change of finsler square metric
... Theorem 4.4. The necessary and sufficient condition of the Randers change of Square metric for Hypersurface to be a hyperplane of second kind is given by . Proof: Since from Lemma (6) is a hyper plane of second ...
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A Simple Proof of the Uniqueness of the Einstein Field Equation in All Dimensions
... desired tensor depends on the metric only up second-order partial-derivatives, that condition being a consequence of the ...stress-energy tensor in general ...
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On Almost Cosymplectic Manifolds
... Key words: Differentiable manifold, vector field, 1-form, Riemannian metric, curvature tensor.. Let there exist a tensor F of type 1,1, a 1-form u, a vector field U, a Riemannian metric [r] ...
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