killing vector वाक्य
उदाहरण वाक्य
मोबाइल
- While Killing vectors are associated with manifold possessing a Killing tensor.
- This is technically called a time-like Killing vector.
- This is a generalization of a Killing vector.
- However, for various special forms of H, there are additional Killing vector fields.
- They are a special kind of spinor field related to Killing vector fields and Killing tensors.
- In the case that \ varphi is identically zero, X is called a Killing vector field.
- The time translation Killing vector generates a one-parameter group of motion G in the spacetime M.
- Mathematically, if k ^ a is a suitably normalized Killing vector, then the surface gravity is defined by
- It commutes with all holomorphic Killing vectors on the cone and in particular with all isometries of the Sasakian manifold.
- However, in backgrounds with light-like killing vectors, they can considerably simplify the quantization of the string action.
- Since the Rindler chart is a coordinate chart for Minkowski spacetime, we expect to find ten linearly independent Killing vector fields.
- The twist vector measures the extent to which the Killing vector fails to be orthogonal to a family of 3-surfaces.
- If the spacetime supports a Killing vector field tangent to a circle, then the angular momentum about the axis is conserved.
- This is always a Lie group, and as usual it is easier to classify the underlying Lie algebras of Killing vector fields.
- Examples of such are fully general Petrov type I spacetimes with no Killing vectors, see Coley " et al . " below.
- Some of the most important vector fields are Killing vector fields which are those spacetime symmetries that preserve the underlying metric structure of a manifold.
- In rough terms, Killing vector fields preserve the distance between any two points of the manifold and often go by the name of isometries.
- If X is a Killing vector field and Y is a harmonic vector field, then g ( X, Y ) is a harmonic function.
- When the energy-momentum tensor represents a perfect fluid, every Killing vector field preserves the energy density, pressure and the fluid flow vector field.
- Another observation is that unless the background metric tensor has a global timelike Killing vector, there is no way to define a vacuum or ground state canonically.
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