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Timelike congruence : ウィキペディア英語版
Congruence (general relativity)
In general relativity, a congruence (more properly, a congruence of curves) is the set of integral curves of a (nowhere vanishing) vector field in a four-dimensional Lorentzian manifold which is interpreted physically as a model of spacetime. Often this manifold will be taken to be an exact or approximate solution to the Einstein field equation.
==Types of congruences==

Congruences generated by nowhere vanishing timelike, null, or spacelike vector fields are called ''timelike'', ''null'', or ''spacelike'' respectively.
A congruence is called a ''geodesic congruence'' if the tangent vector field \vec has vanishing covariant derivative, \nabla_ = 0.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
ウィキペディアで「Congruence (general relativity)」の詳細全文を読む



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