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The use of world lines in general relativity is basically the same as in special relativity, with the difference that spacetime can be curved. A metric exists and its dynamics are determined by the Einstein field equations and are dependent on the mass-energy distribution in spacetime.
In general relativity, the world line of a particle free from all external, non-gravitational force is a particular type of geodesic in curved spacetime. In other words, a freely moving or falling particle always moves along a geodesic.
General Relativity is the classical theory that describes the evolution of systems under the e ect of gravity. Its history goes back to 1915 when Einstein postulated that the laws of gravity can be expressed as a system of equations, the so-called Einstein equations. In order
World Lines. l observer. Notice that in his own set of inertial coordinates, the world-line of the observer is just a vertical line - his position for all time is zero while time ticks stead. Figure 2: The world-line of our material object.
1. FIGURE 2. World line of object with v = 0:5, passing through the event (x;t) = (0:5;0). Now consider an object with velocity dx = 0:5 which is at x = 0:5 at dt. n O’s frame, so the wo. fo. nd earlier. This is shown in Fig. 3. Returning to O, we can now find the locus of points on the d.
18 Νοε 2023 · A worldline is not a physical path, not a trajectory, not a line in space. An object at rest in your frame has, for you, no path at all through space; it stays always at one space point. Yet this stationary particle traces out a "vertical" worldline in your spacetime map (such as line 4 in Figure \(\PageIndex{2}\)). A particle always has a ...
Objects trace out world lines that are geodesics (paths of least action in curved space-time) unless acted upon by a net external force — a new version of the law of inertia. Gravity isn't a force, it's the curvature of space-time caused by the presence of mass-energy.
